Gordillo, Guillermo;Alvarez-Nodarse, Renato;Rodríguez-Quintero, Niurka:
The complete solution of the Schrödinger equation with the Rosen-Morse type potential via the Nikiforov-Uvarov method. Physica D: Nonlinear Phenomena. 2024. Vol: 458. 10.1016/j.physd.2023.134008.
Mellado-alcedo, David;Rodríguez-Quintero, Niurka:
Stability of nonlinear Dirac solitons under the action of external potential. Chaos. 2024. Vol: 34. 10.1088/1751-8121/aca0d1.
Raban, Pablo;Alvarez-Nodarse, Renato;Rodríguez-Quintero, Niurka:
Stability of solitary waves in nonlinear Klein-Gordon equations . Journal of Physics A: Mathematical and Theoretical. 2022. Vol: 55. Pág. 465201-1-465201-25. 10.1088/1751-8121/aca0d1.
Alvarez-Nodarse, Renato;Rodríguez-Quintero, Niurka:
Boletín de la Titulación de Matemáticas de la UAL. Boletín de la Titulación de Matemáticas de la UAL. 2021. Vol: XIV. Núm: 3. Pág. 12-14.
Alvarez-Nodarse, Renato;Rodríguez-Quintero, Niurka;Esteban , FJ:
Las matemáticas y la covid-19. La Gaceta de la Real Sociedad Matemática Española. 2021. Vol: 24. Núm: 1. Pág. 91-109.
Mertens-, Franz Georg;Sanchez-Rey, Bernardo;Rodríguez-Quintero, Niurka:
Soliton dynamics in the ABS nonlinear spinor model with external fields. Journal of Physics A: Mathematical and Theoretical. 2021. Vol: 54. 10.1088/1751-8121/ac190b.
Mertens-, Franz Georg;Rodríguez-Quintero, Niurka:
Empirical stability criteria for parametrically driven solitons of the nonlinear Schrödinger equation. Journal of Physics A: Mathematical and Theoretical. 2020. Vol: 53. 10.1088/1751-8121/ab8ff5.
Mellado-alcedo, David;Rodríguez-Quintero, Niurka;González-Férez, Maria Rosario:
Linear polar molecule in a two-color cw laser field: A symmetry analysis. Physical Review A. 2020. Vol: 102. 10.1103/PhysRevA.102.023110.
Cooper, Fred;Khare, Avinash;Rodríguez-Quintero, Niurka;Sanchez-Rey, Bernardo;Mertens-, Franz Georg;Saxena, Avadh:
Parametrically driven nonlinear Dirac equation with arbitrary nonlinearity. Journal of Physics A: Mathematical and Theoretical. 2020. Vol: 53. 10.1088/1751-8121/ab60e7.
Rodríguez-Quintero, Niurka;Sanchez-Rey, Bernardo:
Exact stationary solutions of the parametrically driven and damped nonlinear Dirac equation. Chaos. 2019. Vol: 29. 10.1063/1.5115505.
Alvarez-Nodarse, Renato;Rodríguez-Quintero, Niurka;Mertens-, Franz Georg;Shao, Sihong:
Driven Nonlinear Dirac Equation revisited: theory and simulations.. Journal of Physics A: Mathematical and Theoretical. 2019. Vol: 52. Pág. 155401-1-155401-17. 10.1088/1751-8121/ab0dd9.
Rodríguez-Quintero, Niurka;Sanchez-Rey, Bernardo;Cooper, Fred;Mertens-, Franz Georg:
Length-scale competition in the parametrically driven nonlinear Dirac equation with a spatially periodic force. Journal of Physics A: Mathematical and Theoretical. 2019. Vol: 52. 10.1088/1751-8121/ab2469.
Alvarez-Nodarse, Renato;Rodríguez-Quintero, Niurka:
Driven Nonlinear Dirac Equation revisited: theory and simulations.. Journal of Physics A: Mathematical and Theoretical. 2019. Vol: 52. Núm: 15. Pág. 155401-1-155401-17. 10.1088/1751-8121/ab0dd9.
Casado-Pascual, Jesus;Sanchez-Rey, Bernardo;Rodríguez-Quintero, Niurka:
Soliton ratchet induced by random transitions among symmetric sine-Gordon potentials. Chaos. 2019. Vol: 29. Núm: 5. Pág. 053119-1-053119-8. https://doi.org/10.1063/1.5092797.
Rodríguez-Quintero, Niurka;Shao, Sihong;Alvarez-Nodarse, Renato;Mertens-, Franz Georg:
Externally driven nonlinear Dirac equation revisited: theory and simulations. Journal of Physics A: Mathematical and Theoretical. 2019. Vol: 52. 10.1088/1751-8121/ab0dd9.
Rodríguez-Quintero, Niurka;Mertens-, Franz Georg;Cooper, Fred ;Saxena, Avadh;Bishop, Alan R:
Speed-of-light pulses in the massless nonlinear Dirac equation with a potential. Physical Review E. 2017. Vol: 96. 10.1103/PhysRevE.96.052219.
Cooper, Fred;Dawson, John F;Mertens-, Franz Georg;Arevalo, Edward;Rodríguez-Quintero, Niurka;Mihaila, Bogdan;Khare, Avinash;Saxena, Avadh:
Response of exact solutions of the nonlinear Schrödinger equation to small perturbations in a class of complex external potentials having supersymmetr. Journal of Physics A: Mathematical and Theoretical. 2017. Vol: 50. 10.1088/1751-8121/aa8d25.
Mertens-, Franz Georg;Cooper, Fred;Shao, Sihong;Rodríguez-Quintero, Niurka;Saxena, Avadh;Bishop, A. R.:
Nonlinear Dirac equation solitary waves under a spinor force with different components. Journal of Physics A: Mathematical and Theoretical. 2017. Vol: 50. Núm: 14. Pág. 145201-1-145201-21. http://dx.doi.org/10.1088/1751-8121/aa5fb4.
Mertens-, Franz Georg;Rodríguez-Quintero, Niurka;Cooper, Fred;Khare, Avinash;Saxena, Avadh:
Erratum: Nonlinear Dirac equation solitary waves in external fields. Physical Review E. 2016. Vol: 93. 10.1103/PhysRevE.93.059903.
Sanchez-Rey, Bernardo;Casado-Pascual, Jesus;Rodríguez-Quintero, Niurka:
Kink ratchet induced by a time-dependent symmetric field potential. Physical Review E. 2016. Vol: 94. Pág. 012221-1-012221-7. https://doi.org/10.1103/PhysRevE.94.012221.
Mertens-, Franz Georg;Cooper, Fred;Rodríguez-Quintero, Niurka;Chao, Sihong;Khare, Avinash;Saxena, Avadh:
Solitary waves in the nonlinear Dirac equation in the presence of external driving forces.. Journal of Physics A: Mathematical and Theoretical. 2016. Vol: 49. Pág. 065402-1-065402-23. http://dx.doi.org/10.1088/1751-8113/49/6/065402.
Rodríguez-Quintero, Niurka;Mertens-, Franz Georg;Efimov, Anatoly ;Bishop, Alan:
Soliton dynamics in optical fibers using the generalized traveling-wave method. Physical Review E. 2016. Vol: 93. Pág. 042214-1-042214-8. https://doi.org/10.1103/PhysRevE.93.042214.
Casado-Pascual, Jesus;Cuesta, Jose A.;Rodríguez-Quintero, Niurka;Alvarez-Nodarse, Renato:
General approach for dealing with dynamical systems with spatiotemporal periodicities. Physical Review E. 2015. Vol: 91. Núm: 2. Pág. 022905-1-022905-4. https://doi.org/10.1103/PhysRevE.91.022905.
Alvarez-Nodarse, Renato;Rodríguez-Quintero, Niurka;Mertens, Franz G.;Casic, N.;Fischer, Thomas:
Paramagnetic colloidal ribbons in a precessing magnetic field. Physical Review E. 2015. Vol: 91. Núm: 3. Pág. 032908-1-032908-7. https://doi.org/10.1103/PhysRevE.91.032908.
Rodríguez-Quintero, Niurka;Mertens, Franz G.;Bishop, Alan R.:
Soliton stability criterion for generalized nonlinear Schrodinger equations. Physical Review E. 2015. Vol: 91. Núm: 1. Pág. 012905-1-012905-9. https://doi.org/10.1103/PhysRevE.91.012905.
Dinis, Luis;Rodríguez-Quintero, Niurka:
Non-sinusoidal current and current reversals in a gating ratchet. Physical Review E. 2015. Vol: 91. Núm: 3. Pág. 032920-1-032920-6. https://doi.org/10.1103/PhysRevE.91.032920.
Sanchez-Rey, Bernardo;Rodríguez-Quintero, Niurka;Cuevas-Maraver, Jesús; Alejo, Miguel A. :
Collective coordinates theory for discrete soliton ratchets in the sine Gordon model. Physical Review E. 2014. Vol: 90. Pág. 042922-1-042922-9. https://doi.org/10.1103/PhysRevE.90.042922.
Alvarez-Nodarse, Renato;Rodríguez-Quintero, Niurka;Mertens, Franz:
Kink topology control by high-frequency external forces in nonlinear Klein-Gordon models. Physical Review E. 2014. Vol: 90. http://dx.doi.org/10.1103/PhysRevE.90.042916.
Shao, Sihong;Rodríguez-Quintero, Niurka;Mertens, Franz ;Cooper, Fred;Khare, Avinash;Saxena, Avadh:
Stability of solitary waves in the nonlinear Dirac equation with arbitrary nonlinearity. Physical Review E. 2014. Vol: 90. Pág. 032915-1-032915-15. 10.1103/PhysRevE.82.036604.
Cuesta, Jose ;Rodríguez-Quintero, Niurka;Alvarez-Nodarse, Renato:
Time-shift invariance determines the functional shape of the current in rocking ratchets. Physical Review X. 2013. Vol: 3. Pág. 041014-041014-10. 10.1103/PhysRevX.3.041014.
Mertens-, Franz Georg;Rodríguez-Quintero, Niurka;Bishop, Alan:
Nonlinear Schrodinger solitons oscillate under a constant external force. Physical Review E. 2013. Vol: 87. Pág. 032917-032917. 10.1103/PhysRevE.87.032917.
Rodríguez-Quintero, Niurka;Alvarez-Nodarse, Renato;Cuesta, Jose:
Comment on "Ratchet universality in the presence of thermal noise". Physical Review E. 2013. Vol: 88. Pág. 066101-066101. 10.1103/PhysRevE.88.066101.
Casic, Nebojsa ;Rodríguez-Quintero, Niurka;Alvarez-Nodarse, Renato;Mertens, Franz;Jibuti, Levan;Zimmermann, Walter;Thomas M., Thomas:
Propulsion efficiency of a dynamic self-assembled helical ribbon. Physical Review Letters. 2013. Vol: 110. Pág. 168302-1-168302-4. 10.1103/PhysRevLett.110.168302 .
Alvarez-Nodarse, Renato;Petronilho, Jose;Rodríguez-Quintero, Niurka:
Spectral properties of certain tridiagonal matrices. Linear Algebra and Its Applications. 2012. Vol: 436. Pág. 682-698. doi:10.1016/j.laa.2011.07.040.
Mertens, Franz Georg;Rodríguez-Quintero, Niurka;Cooper, Fred;Khare, Avinash ;Saxena, Avadh:
Nonlinear Dirac equation solitary waves in external fields. Physical Review E. 2012. Vol: 86. Pág. 046602-1-046602-20. 10.1103/PhysRevE.86.046602.
Cooper, Fred;Khare, Avinash;Rodríguez-Quintero, Niurka;Mertens, Franz Georg;Saxena, Avadh:
Forced nonlinear Schr""odinger equation with arbitrary nonlinearity. Physical Review E. 2012. Vol: 85. Pág. 046607-1-046607-24. 10.1103/PhysRevE.85.046607.
Rodríguez-Quintero, Niurka;Cuesta, Jose;Alvarez-Nodarse, Renato:
Ratchet effect on a relativistic particle driven by external forces. Journal of Physics A: Mathematical and Theoretical. 2011. Vol: 44. Pág. 425205-1-425205-10. doi:10.1088/1751-8113/44/42/425205.
Mertens-, Franz Georg;Rodríguez-Quintero, Niurka;Barashenkov, Igor;Bishop, Alan:
Refined empirical stability criterion for nonlinear Schrodinger solitons under spatiotemporal forcing. . Physical Review E: Statistical, Nonlinear, and Soft Matter Physics. 2011. Vol: 84. Pág. 026614-1-026614-10. 10.1103/PhysRevE.84.026614.
Cuenda-,Sara;Rodríguez-Quintero, Niurka;Sánchez-Sánchez, Angel:
SINE-GORDON WOBBLES THROUGH BACKLUND TRANSFORMATIONS. Discrete and Continuous Dynamical Systems. Series S. 2011. Vol: 4. Núm: 5. Pág. 1047-1057.
Rodríguez-Quintero, Niurka;Mertens-, Franz Georg;Bishop-,Alan:
GENERALIZED TRAVELING-WAVE METHOD, VARIATIONAL APPROACH, AND MODIFIED CONSERVED QUANTITIES FOR THE PERTURBED NONLINEAR SCHRODINGER EQUATION.. Physical Review E. 2010. Vol: 82. Pág. 016606-1-016606-6.
Mertens-, Franz Georg;Rodríguez-Quintero, Niurka;Bishop-,Alan:
NONLINEAR SCHRODINGER EQUATION WITH SPATIO-TEMPORAL PERTURBATIONS. Physical Review E. 2010. Vol: 81. Pág. 016608-1-016608-11.
Alvarez-Nodarse, Renato;Rodríguez-Quintero, Niurka;Cuesta-, Jose Antonio:
SYMMETRIES SHAPE THE CURRENT IN RATCHETS INDUCED BY A BI-HARMONIC FORCE. Physical Review E. 2010. Vol: 81. Pág. 030102R1-030102R4.
Rodríguez-Quintero, Niurka;Alvarez-Nodarse, Renato;Mertens-, Franz Georg:
DRIVEN AND DAMPED DOUBLE SINE-GORDON EQUATION: THE INFLUENCE OF INTERNAL MODES ON THE SOLITON RATCHET MOBILITY.. Physical Review E. 2009. Vol: 80. Pág. 016605-1-016605-8.
Chacón-,Ricardo;Rodríguez-Quintero, Niurka:
CONTROLLING THE RATCHET EFFECT THROUGH THE SYMMETRIES OF THE SYSTEMS: APPLICATION TO MOLECULAR MOTORS. Biosystems. 2007. Vol: 88. Núm: 3. Pág. 308-315.
Zamora-Sillero, Elias;Rodríguez-Quintero, Niurka;Mertens-, Franz Georg:
Sine-Gordon ratchets with general periodic, additive, and parametric driving forces. Physical Review E. 2007. Vol: 76. Núm: 6. Pág. 066601-1-066601-9. https://doi.org/10.1103/PhysRevE.76.066601.
Alvarez-Nodarse, Renato;Cardoso-,Jose Luis;Rodríguez-Quintero, Niurka:
ON RECURRENCE RELATIONS FOR RADIAL WAVE FUNCTIONS FOR THE N-TH DIMENSIONAL OSCILLATORS AND HYDROGENLIKE ATOMS: ANALYTICAL AND NUMERICAL STUDY. Electronic Transactions On Numerical Analysis. 2006. Vol: 24. Pág. 7-23.
Cao, Francisco;Zamora-Sillero, Elias;Rodríguez-Quintero, Niurka:
DOMAIN WALL DYNAMICS IN EXPANDING SPACES. Physical Review E. 2006. Vol: 73. Núm: 5. Pág. 056603-1-056603-8. https://doi.org/10.1103/PhysRevE.73.056603.
Rodríguez-Quintero, Niurka;Sánchez-Sánchez, Angel;Mertens-, Franz Georg:
Reply to "Comment on Existence of internal modes of sine-Gordon kinks". Physical Review E. 2006. Vol: 73. Núm: 6. Pág. 068602-1-068602-3. https://doi.org/10.1103/PhysRevE.73.068602.
Morales-Molina,Luis;Rodríguez-Quintero, Niurka;Sánchez-Sánchez, Angel;Mertens-, Franz Georg:
SOLITON RATCHETS IN HOMOGENEOUS NONLINEAR KLEIN-GORDON SYSTEMS. Chaos. 2006. Vol: 16. Núm: 1. Pág. 013117-1-013117-13.
Cuenda-,Sara;Sánchez-Sánchez, Angel;Rodríguez-Quintero, Niurka:
DOES THE DYNAMICS OF SINE-GORDON SOLITONS PREDICT ACTIVE REGIONS OF DNA?. Physica D: Nonlinear Phenomena. 2006. Vol: 223. Núm: 2. Pág. 214-221.
Zamora-Sillero, Elias;Rodríguez-Quintero, Niurka;Mertens-, Franz Georg:
RATCHET EFFECT IN A DAMPED SINE-GORDON SYSTEM WITH ADDITIVE AND PARAMETRIC AC DRIVING FORCES. Physical Review E. 2006. Vol: 74. Núm: 4. Pág. 046607-046607. https://doi.org/10.1103/PhysRevE.74.046607.
Rodríguez-Quintero, Niurka;Sanchez-Rey, Bernardo;Salerno-,Mario:
ANALYTICAL APPROACH TO SOLITON RATCHETS IN ASYMMETRIC POTENTIALS. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics. 2005. Vol: 72. Núm: 1. Pág. 016610-1-016610-8.
Alvarez-Nodarse, Renato;Petronilho-,Jose Carlos;Rodríguez-Quintero, Niurka:
ON SOME TRIDIAGONAL K-TOEPLITZ MATRICES: ALGEBRAIC AND ANALYTICAL ASPECTS. APPLICATIONS. Journal of Computational and Applied Mathematics. 2005. Vol: 184. Núm: 2. Pág. 518-537.
Rodríguez-Quintero, Niurka;Sanchez-Rey, Bernardo;Casado-Pascual, Jesus:
COMMENT ON "SOLITON RATCHETS INDUCED BY EXCITATION OF INTERNAL MODES". Physical Review E: Statistical, Nonlinear, and Soft Matter Physics. 2005. Vol: 71. Pág. 058601-1-058601-2.
Rodríguez-Quintero, Niurka;Zamora-Sillero, Elias:
LAGRANGIAN FORMALISM IN PERTURBED NONLINEAR KLEIN-GORDON EQUATIONS. Physica D: Nonlinear Phenomena. 2004. Vol: 197. Núm: 1-2. Pág. 63-68.
Sanchez-, A.;Morales-Molina,Luis;Mertens-, Franz Georg;Rodríguez-Quintero, Niurka;Buceta-,Javier;Lindenberg-,Katja:
RATCHETS IN HOMOGENEOUS EXTENDED SYSTEMS: INTERNAL MODES AND THE ROLE OF NOISE. Fluctuation and Noise Letters. 2004. Vol: 4. Núm: 4. Pág. L571-L584.
Sanchez-, A.;Rodríguez-Quintero, Niurka;Mertens-, Franz Georg;Morales-Molina,Luis:
INTERNAL MODE MECHANISM FOR COLLECTIVE ENERGY TRANSPORT IN EXTENDED SYSTEMS. Physical Review Letters. 2003. Vol: 91. Núm: 23. Pág. 234102-1-234102-4.
Rodríguez-Quintero, Niurka;Kevrekidis-,Panayotis G.:
USING THE FINITE DOMAIN REMNANT OF THE CONTINUOUS SPECTRUM TO EXAMINE INTEGRABILITY: EFFECT OF BOUNDARY CONDITIONS. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics. 2003. Vol: 68. Núm: 3. Pág. 036612-1-036612-12.
Salerno-,Mario;Rodríguez-Quintero, Niurka:
SOLITON RATCHETS. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics. 2002. Vol: 65. Núm: 2. Pág. art. no.-025602.
Giuseppe-,Gaeta;Rodríguez-Quintero, Niurka:
LIE SYMMETRIES OF STOCHASTIC DIFFERENTIAL EQUATIONS. RESEARCH AND EXPOSITION IN MATHEMATICS. 2002. Vol: 25. Pág. 197-204.
Rodríguez-Quintero, Niurka;Kevrekidis-,Panayotis G.:
THE PARAMETRICALLY MODIFIED SINE-GORDON EQUATION: SPECTRAL PROPERTIES, COLLISIONS, RESONANCES AND THEIR CONNECTION TO INTEGRABILITY. Physica D: Nonlinear Phenomena. 2002. Vol: 170. Núm: 1. Pág. 31-49.
Rodríguez-Quintero, Niurka;Kevrekidis-,Panayotis G.:
NONEQUIVALENCE OF PHONON MODES IN THE SINE-GORDON EQUATION. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics. 2001. Vol: 64. Núm: 5. Pág. 056608/1-4.
Rodríguez-Quintero, Niurka;Sanchez-, A.;Mertens-, Franz Georg:
INTERNAL MODE DYNAMICS IN DRIVEN NONLINEAR KLEIN-GORDON SYSTEMS. European Physical Journal B. Condensed Matter and Complex Systems. 2001. Vol: 19. Pág. 107-115.
Rodríguez-Quintero, Niurka;Sanchez-, A.;Mertens-, Franz Georg:
ANOMALIES OF AC DRIVEN SOLITARY WAVES WITH INTERNAL MODES: NONPARAMETRIC RESONANCES INDUCED BY PARAMETRIC FORCES. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics. 2001. Vol: 64. Núm: 4. Pág. 046601/1-7.
Rodríguez-Quintero, Niurka;Sanchez-, A.;Mertens-, Franz Georg:
THERMAL DIFFUSION OF SINE-GORDON SOLITONS. European Physical Journal B. Condensed Matter and Complex Systems. 2000. Pág. 361-368.
Rodríguez-Quintero, Niurka;Sanchez-, A.;Mertens-, Franz Georg:
ANOMALOUS RESONANCE PHENOMENA OF SOLITARY WAVES WITH INTERNAL MODES. Physical Review Letters. 2000. Vol: 84. Pág. 871-874.
Rodríguez-Quintero, Niurka;Sanchez-, A.;Mertens-, Franz Georg:
EXISTENCE OF INTERNAL MODES OF SINE-GORDON KINKS. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics. 2000. Vol: 62. Pág. 60-63.
Rodríguez-Quintero, Niurka;Sanchez-, A.;Mertens-, Franz Georg:
RESONANCES IN THE DYNAMICS OF PHI4 KINKS PERTURBED BY AC FORCES. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics. 2000. Vol: 62. Pág. 5695-5695.
Rodríguez-Quintero, Niurka;Sanchez-, A.;Mertens-, Franz Georg:
OVERDAMPED SINE-GORDON KINK IN A THERMAL BATH. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics. 1999. Vol: 60. Núm: 1. Pág. 222-230.
Giuseppe-,Gaeta;Rodríguez-Quintero, Niurka:
LIE-POINT SYMMETRIES AND STOCHASTIC DIFFERENTIAL EQUATIONS. Journal of Physics A: Mathematical and General. 1999. Vol: 32. Pág. 8485-8505.
Alvarez-Nodarse, Renato;Rodríguez-Quintero, Niurka;Ronveaux-, Andre:
ON THE LINEARIZATION PROBLEM INVOLVING POCHHAMMER SYMBOLS AND THEIR Q-ANALOGUES. Journal of Computational and Applied Mathematics. 1999. Vol: 107. Pág. 133-146.
Rodríguez-Quintero, Niurka;Sanchez-, A.:
AC DRIVEN SINE-GORDON SOLITONS: DYNAMICS AND STABILITY. European Physical Journal B. Condensed Matter and Complex Systems. 1998. Pág. 133-142.
Rodríguez-Quintero, Niurka;Sanchez-, A.:
DC MOTION OF AC DRIVEN SINE-GORDON SOLITONS. Physics Letters A. 1998. Vol: 247. Pág. 161-166.