Edit Profile (opens in new tab) Pérez-García, Víctor Manuel Compute Distance To: Compute Author ID: perez-garcia.victor-m Published as: Pérez-García, Víctor M.; Pérez-García, V. M.; Pérez-García, Victor M.; Pérez-García, Víctor; Pérez-Barcía, Víctor M.; Pérez García, V. M. more...less External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp Documents Indexed: 53 Publications since 1993 1 Contribution as Editor Co-Authors: 74 Co-Authors with 53 Joint Publications 1,585 Co-Co-Authors all top 5 Co-Authors 1 single-authored 13 Belmonte-Beitia, Juan 8 Calvo, Gabriel F. 6 Martínez-González, Alicia 5 Konotop, Vladimir V. 5 Romasanta, Luis A. Pérez 5 Torres, Pedro José 5 Vekslerchik, Vadym Yevgenovych 4 Bueno-Orovio, Alfonso 4 Montesinos, Gaspar D. 3 Chulián, Salvador 3 Guerra, João M. E. 3 Martínez-Rubio, Álvaro 3 Pešić, Milica 3 Schucht, Philippe 2 Bogdańska, Magdalena Urszula 2 Brazhnyi, Valeriy A. 2 Dinić, Jelena 2 Encinas Sanz, F. 2 García-Ripoll, Juan José 2 León-Triana, Odelaisy 2 Malomed, Boris A. 2 Pardo, Rosa M. 2 Pastor, Isabel 2 Pérez-Martínez, Antonio 2 Ramirez-Orellana, Manuel 2 Tang, Yifa 2 Zhang, Fei 1 Alcaín, Francisco J. 1 Alexandrescu, Adrian 1 Álvarez-Arenas, Arturo 1 Arana, Estanislao 1 Berloff, Natalia G. 1 Bodnar, Marek 1 Bratus, Alexander S. 1 Castillo Robleda, Ana 1 Crasovan, Lucian-Cornel 1 Diego, David 1 Durán-Prado, Mario 1 Durán, María Rosa 1 Fenton, Flavio H. 1 Fitzpatrick, Susan 1 Gaffney, Eamonn A. 1 Galochkina, Tatiana 1 Goñi, Cristina Blázquez 1 Guo, Ben-Yu 1 Jiménez, Salvador 1 Kelly, Catherine J. 1 Kevrekidis, Panayotis G. 1 Liu, Xiaoyan 1 Llorente, Ignacio Martín 1 Maini, Philip Kumar 1 Marciniak-Czochra, Anna K. 1 Martin, Natasha K. 1 Maurer, Helmut 1 McGillen, Jessica B. 1 Mendoza-Juez, Berta 1 Michinel, Humberto 1 Mihalache, Dumitru 1 Murek, M. 1 Ortega-Sabater, Carmen 1 Pérez-Beteta, Julián 1 Podolski-Renić, Ana 1 Podolski, Ana 1 Prytula, Vladyslav 1 Rodas-Verde, María I. 1 Rodríguez Gutiérrez, Juan Francisco 1 Rojas, Clara 1 Sabir, Soukaina 1 Salgueiro, José Ramón 1 Sánchez-Gómez, Pilar 1 Stiehl, Thomas-Peter 1 Streit, Ludwig 1 Torner, Lluis 1 Torres, Juan P. all top 5 Serials 7 Physica D 5 Chaos, Solitons and Fractals 5 Communications in Nonlinear Science and Numerical Simulation 4 Bulletin of Mathematical Biology 4 Applied Mathematics and Computation 3 Mathematical Medicine and Biology 2 Mathematical Biosciences 2 Mathematics and Computers in Simulation 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 SIAM Journal on Scientific Computing 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Theoretical Biology 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 Journal of Computational Physics 1 Journal of Mathematical Biology 1 Physics Letters. A 1 Numerical Methods for Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 Journal of Nonlinear Science 1 Chaos 1 Mathematical Modelling of Natural Phenomena 1 S\(\vec{\text{e}}\)MA Journal 1 Applied Mathematics and Nonlinear Sciences all top 5 Fields 33 Partial differential equations (35-XX) 19 Biology and other natural sciences (92-XX) 14 Numerical analysis (65-XX) 13 Dynamical systems and ergodic theory (37-XX) 10 Quantum theory (81-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Optics, electromagnetic theory (78-XX) 3 Ordinary differential equations (34-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 General and overarching topics; collections (00-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 48 Publications have been cited 527 times in 425 Documents Cited by ▼ Year ▼ Numerical simulation of nonlinear Schrödinger systems: A new conservative scheme. Zbl 0832.65136Zhang, Fei; Pérez-García, Víctor M.; Vázquez, Luis 108 1995 Symplectic methods for the nonlinear Schrödinger equation. Zbl 0858.65124Tang, Y.-F.; Vázquez, L.; Zhang, F.; Pérez-García, V. M. 42 1996 Optimizing Schrödinger functionals using Sobolev gradients: Applications to quantum mechanics and nonlinear optics. Zbl 0999.65058García-Ripoll, Juan José; Pérez-García, Víctor 33 2001 Spectral methods for partial differential equations in irregular domains: the spectral smoothed boundary method. Zbl 1114.65119Bueno-Orovio, Alfonso; Pérez-García, Víctor M.; Fenton, Flavio H. 33 2006 Numerical methods for the simulation of trapped nonlinear Schrödinger systems. Zbl 1024.65084Pérez-García, Víctor M.; Liu, Xiaoyan 23 2003 Stabilization of solitons of the multidimensional nonlinear Schrödinger equation: matter-wave breathers. Zbl 1057.35065Montesinos, Gaspar D.; Pérez-García, Víctor M.; Torres, Pedro J. 22 2004 Hypoxic cell waves around necrotic cores in glioblastoma: a biomathematical model and its therapeutic implications. Zbl 1264.92028Martínez-González, Alicia; Calvo, Gabriel F.; Romasanta, Luis A. Pérez; Pérez-García, Víctor M. 22 2012 A quasi-local Gross-Pitaevskii equation for attractive Bose-Einstein condensates. Zbl 1034.35126García-Ripoll, Juan J.; Konotop, Vladimir V.; Malomed, Boris; Pérez-García, Víctor M. 20 2003 Lie symmetries, qualitative analysis and exact solutions of nonlinear Schrödinger equations with inhomogeneous nonlinearities. Zbl 1147.35093Belmonte-Beitia, Juan; Pérez-García, Víctor M.; Vekslerchik, Vadym; Torres, Pedro J. 18 2008 Solitary waves for linearly coupled nonlinear Schrödinger equations with inhomogeneous coefficients. Zbl 1361.34043Belmonte-Beitia, Juan; Pérez-García, Víctor M.; Torres, Pedro J. 18 2009 Similarity transformations for nonlinear Schrödinger equations with time-dependent coefficients. Zbl 1106.35101Pérez-García, Víctor M.; Torres, Pedro J.; Konotop, Vladimir V. 16 2006 Spectral smoothed boundary methods: The role of external boundary conditions. Zbl 1089.65105Bueno-Orovio, Alfonso; Pérez-García, Víctor M. 15 2006 Symplectic methods for the Ablowitz-Ladik model. Zbl 0870.65115Tang, Yi-Fa; Pérez-García, Víctor M.; Vázquez, Luis 12 1997 Delay effects in the response of low-grade gliomas to radiotherapy: a mathematical model and its therapeutical implications. Zbl 1325.92049Pérez-García, Víctor M.; Bogdanska, Magdalena; Martínez-González, Alicia; Belmonte-Beitia, Juan; Schucht, Philippe; Pérez-Romasanta, Luis A. 11 2015 A mathematical model for the glucose-lactate metabolism of in vitro cancer cells. Zbl 1237.92032Mendoza-Juez, Berta; Martínez-González, Alicia; Calvo, Gabriel F.; Pérez-García, Víctor M. 10 2012 Collapse in coupled nonlinear Schrödinger equations: sufficient conditions and applications. Zbl 1167.82335Prytula, Vladyslav; Vekslerchik, Vadym; Pérez-García, Víctor M. 10 2009 Numerical studies of stabilized Townes solitons. Zbl 1119.65395Montesinos, Gaspar D.; Pérez-García, Víctor M. 8 2005 Combined therapies of antithrombotics and antioxidants delay in silico brain tumour progression. Zbl 1325.92048Martínez-González, Alicia; Durán-Prado, Mario; Calvo, Gabriel F.; Alcaín, Francisco J.; Pérez-Romasanta, Luis A.; Pérez-García, Víctor M. 7 2015 Mapped Chebyshev pseudospectral method for the study of multiple scale phenomena. Zbl 1198.35251Alexandrescu, Adrian; Bueno-Orovio, Alfonso; Salgueiro, José R.; Pérez-García, Víctor M. 7 2009 The method of moments for nonlinear Schrödinger equations: theory and applications. Zbl 1127.35061Pérez-García, Víctor M.; Torres, Pedro J.; Montesinos, Gaspar D. 7 2007 Modulational instability, solitons and periodic waves in a model of quantum degenerate Boson-Fermion mixtures. Zbl 1131.82022Belmonte-Beitia, Juan; Pérez-García, Víctor M.; Vekslerchik, Vadym 7 2007 Optimal radiation fractionation for low-grade gliomas: insights from a mathematical model. Zbl 1371.92063Galochkina, Tatiana; Bratus, Alexander; Pérez-García, Víctor M. 7 2015 Localization phenomena in nonlinear Schrödinger equations with spatially inhomogeneous nonlinearities: theory and applications to Bose-Einstein condensates. Zbl 1167.82333Pérez-García, Víctor M.; Pardo, Rosa 6 2009 Effective particle methods for Fisher-Kolmogorov equations: theory and applications to brain tumor dynamics. Zbl 07175132Belmonte-Beitia, Juan; Calvo, Gabriel F.; Pérez-García, Víctor M. 6 2014 Transfer of drug resistance characteristics between cancer cell subpopulations: a study using simple mathematical models. Zbl 1348.92077Durán, María Rosa; Podolski-Renić, Ana; Álvarez-Arenas, Arturo; Dinić, Jelena; Belmonte-Beitia, Juan; Pešić, Milica; Pérez-García, Víctor M. 5 2016 CAR T cell therapy in B-cell acute lymphoblastic leukaemia: insights from mathematical models. Zbl 1461.92043León-Triana, Odelaisy; Sabir, Soukaina; Calvo, Gabriel F.; Belmonte-Beitia, Juan; Chulián, Salvador; Martínez-Rubio, Álvaro; Rosa, María; Pérez-Martínez, Antonio; Ramirez-Orellana, Manuel; Pérez-García, Víctor M. 5 2021 Solitary waves in coupled nonlinear Schrödinger equations with spatially inhomogeneous nonlinearities. Zbl 1221.35390Belmonte-Beitia, Juan; Pérez-García, Víctor M.; Brazhnyi, Valeriy 5 2011 Self-similar solutions and collective coordinate methods for nonlinear Schrödinger equations. Zbl 1057.35067Pérez-García, Víctor M. 4 2004 A numerical scheme for the simulation of blow-up in the nonlinear Schrödinger equation. Zbl 1023.65094Jiménez, Salvador; Llorente, Ignacio M.; Mancho, Ana M.; Pérez-García, Víctor M.; Vázquez, Luis 4 2003 Applied mathematics and nonlinear sciences in the war on cancer. Zbl 1381.92047Pérez-García, Víctor M.; Fitzpatrick, Susan; Pérez-Romasanta, Luis A.; Pesic, Milica; Schucht, Philippe; Arana, Estanislao; Sánchez-Gómez, Pilar 4 2016 Extreme protraction for low-grade gliomas: theoretical proof of concept of a novel therapeutical strategy. Zbl 1400.92279Pérez-García, Víctor M.; Pérez-Romasanta, Luis A. 4 2016 A mathematical model of low grade gliomas treated with temozolomide and its therapeutical implications. Zbl 1377.92043Bogdańska, M. U.; Bodnar, M.; Belmonte-Beitia, J.; Murek, M.; Schucht, P.; Beck, J.; Pérez-García, V. M. 3 2017 Exact bright and dark spatial soliton solutions in saturable nonlinear media. Zbl 1198.81080Calvo, Gabriel F.; Belmonte-Beitia, Juan; Pérez-García, Víctor M. 3 2009 Stable multidimensional soliton stripes in two-component Bose-Einstein condensates. Zbl 1227.82010Brazhnyi, Valeriy A.; Pérez-García, Víctor M. 3 2011 Tumor width on T1-weighted MRI images of glioblastoma as a prognostic biomarker: a mathematical model. Zbl 1467.92108Pérez-Beteta, Julián; Belmonte-Beitia, Juan; Pérez-García, Víctor M. 2 2020 Dynamics and optimal control of chemotherapy for low grade gliomas: insights from a mathematical model. Zbl 1351.49051Rojas, Clara; Belmonte-Beitia, Juan; Pérez-García, Víctor M.; Maurer, Helmut 2 2016 Localized and periodic exact solutions to the nonlinear Schrödinger equation with spatially modulated parameters: linear and nonlinear lattices. Zbl 1198.35253Belmonte-Beitia, Juan; Konotop, Vladimir V.; Pérez-García, Víctor M.; Vekslerchik, Vadym E. 2 2009 Numerical solutions of the Maxwell-Bloch laser equations. Zbl 0866.65086Guo, Ben-Yu; Martín, I.; Pérez-García, Victor M.; Vázquez, Luis 2 1996 Enhanced box and prism assisted algorithms for computing the correlation dimension. Zbl 1131.65099Bueno-Orovio, Alfonso; Pérez-García, Víctor M. 2 2007 Modeling the connection between primary and metastatic tumors. Zbl 1271.92016Diego, David; Calvo, Gabriel F.; Pérez-García, Víctor M. 1 2013 Nonlinear plane wave solutions in the semiclassical Maxwell-Bloch laser equations. Zbl 0797.35154Pastor, I.; Pérez García, V. M.; Encinas Sanz, F.; Guerra, J. M.; Vázquez, L. 1 1993 CAR T cells for T-cell leukemias: insights from mathematical models. Zbl 1459.92045Pérez-García, Víctor M.; León-Triana, Odelaisy; Rosa, María; Pérez-Martínez, Antonio 1 2021 Nonlinear ghost waves accelerate the progression of high-grade brain tumors. Zbl 07249773Pardo, Rosa; Martínez-González, Alicia; Pérez-García, Víctor M. 1 2016 \(n\)-body dynamics of stabilized vector solitons. Zbl 1144.37387Montesinos, Gaspar D.; Rodas-Verde, María I.; Pérez-García, Víctor M.; Michinel, Humberto 1 2005 Nonlinear phenomena in degenerate quantum gases. Zbl 1167.82332Pérez-García, Víctor M.; Berloff, Natalia G.; Kevrekidis, Panayotis G.; Konotop, Vladimir V.; Malomed, Boris A. 1 2009 Proceedings of the Euroconference on nonlinear Klein-Gordon and Schrödinger systems: theory and applications, Madrid, Spain, September 25–30, 1995. Zbl 0901.00040 1 1996 Different and coexisting routes to chaos along a common bifurcation path in the Maxwell-Bloch equations. Zbl 0873.35097Pastor, I.; Pérez-García, Víctor M.; Encinas-Sanz, F.; Guerra, J. M. 1 1996 Glucose-lactate metabolic cooperation in cancer: insights from a spatial mathematical model and implications for targeted therapy. Zbl 1303.92032McGillen, Jessica B.; Kelly, Catherine J.; Martínez-González, Alicia; Martin, Natasha K.; Gaffney, Eamonn A.; Maini, Philip K.; Pérez-García, Víctor M. 1 2014 CAR T cell therapy in B-cell acute lymphoblastic leukaemia: insights from mathematical models. Zbl 1461.92043León-Triana, Odelaisy; Sabir, Soukaina; Calvo, Gabriel F.; Belmonte-Beitia, Juan; Chulián, Salvador; Martínez-Rubio, Álvaro; Rosa, María; Pérez-Martínez, Antonio; Ramirez-Orellana, Manuel; Pérez-García, Víctor M. 5 2021 CAR T cells for T-cell leukemias: insights from mathematical models. Zbl 1459.92045Pérez-García, Víctor M.; León-Triana, Odelaisy; Rosa, María; Pérez-Martínez, Antonio 1 2021 Tumor width on T1-weighted MRI images of glioblastoma as a prognostic biomarker: a mathematical model. Zbl 1467.92108Pérez-Beteta, Julián; Belmonte-Beitia, Juan; Pérez-García, Víctor M. 2 2020 A mathematical model of low grade gliomas treated with temozolomide and its therapeutical implications. Zbl 1377.92043Bogdańska, M. U.; Bodnar, M.; Belmonte-Beitia, J.; Murek, M.; Schucht, P.; Beck, J.; Pérez-García, V. M. 3 2017 Transfer of drug resistance characteristics between cancer cell subpopulations: a study using simple mathematical models. Zbl 1348.92077Durán, María Rosa; Podolski-Renić, Ana; Álvarez-Arenas, Arturo; Dinić, Jelena; Belmonte-Beitia, Juan; Pešić, Milica; Pérez-García, Víctor M. 5 2016 Applied mathematics and nonlinear sciences in the war on cancer. Zbl 1381.92047Pérez-García, Víctor M.; Fitzpatrick, Susan; Pérez-Romasanta, Luis A.; Pesic, Milica; Schucht, Philippe; Arana, Estanislao; Sánchez-Gómez, Pilar 4 2016 Extreme protraction for low-grade gliomas: theoretical proof of concept of a novel therapeutical strategy. Zbl 1400.92279Pérez-García, Víctor M.; Pérez-Romasanta, Luis A. 4 2016 Dynamics and optimal control of chemotherapy for low grade gliomas: insights from a mathematical model. Zbl 1351.49051Rojas, Clara; Belmonte-Beitia, Juan; Pérez-García, Víctor M.; Maurer, Helmut 2 2016 Nonlinear ghost waves accelerate the progression of high-grade brain tumors. Zbl 07249773Pardo, Rosa; Martínez-González, Alicia; Pérez-García, Víctor M. 1 2016 Delay effects in the response of low-grade gliomas to radiotherapy: a mathematical model and its therapeutical implications. Zbl 1325.92049Pérez-García, Víctor M.; Bogdanska, Magdalena; Martínez-González, Alicia; Belmonte-Beitia, Juan; Schucht, Philippe; Pérez-Romasanta, Luis A. 11 2015 Combined therapies of antithrombotics and antioxidants delay in silico brain tumour progression. Zbl 1325.92048Martínez-González, Alicia; Durán-Prado, Mario; Calvo, Gabriel F.; Alcaín, Francisco J.; Pérez-Romasanta, Luis A.; Pérez-García, Víctor M. 7 2015 Optimal radiation fractionation for low-grade gliomas: insights from a mathematical model. Zbl 1371.92063Galochkina, Tatiana; Bratus, Alexander; Pérez-García, Víctor M. 7 2015 Effective particle methods for Fisher-Kolmogorov equations: theory and applications to brain tumor dynamics. Zbl 07175132Belmonte-Beitia, Juan; Calvo, Gabriel F.; Pérez-García, Víctor M. 6 2014 Glucose-lactate metabolic cooperation in cancer: insights from a spatial mathematical model and implications for targeted therapy. Zbl 1303.92032McGillen, Jessica B.; Kelly, Catherine J.; Martínez-González, Alicia; Martin, Natasha K.; Gaffney, Eamonn A.; Maini, Philip K.; Pérez-García, Víctor M. 1 2014 Modeling the connection between primary and metastatic tumors. Zbl 1271.92016Diego, David; Calvo, Gabriel F.; Pérez-García, Víctor M. 1 2013 Hypoxic cell waves around necrotic cores in glioblastoma: a biomathematical model and its therapeutic implications. Zbl 1264.92028Martínez-González, Alicia; Calvo, Gabriel F.; Romasanta, Luis A. Pérez; Pérez-García, Víctor M. 22 2012 A mathematical model for the glucose-lactate metabolism of in vitro cancer cells. Zbl 1237.92032Mendoza-Juez, Berta; Martínez-González, Alicia; Calvo, Gabriel F.; Pérez-García, Víctor M. 10 2012 Solitary waves in coupled nonlinear Schrödinger equations with spatially inhomogeneous nonlinearities. Zbl 1221.35390Belmonte-Beitia, Juan; Pérez-García, Víctor M.; Brazhnyi, Valeriy 5 2011 Stable multidimensional soliton stripes in two-component Bose-Einstein condensates. Zbl 1227.82010Brazhnyi, Valeriy A.; Pérez-García, Víctor M. 3 2011 Solitary waves for linearly coupled nonlinear Schrödinger equations with inhomogeneous coefficients. Zbl 1361.34043Belmonte-Beitia, Juan; Pérez-García, Víctor M.; Torres, Pedro J. 18 2009 Collapse in coupled nonlinear Schrödinger equations: sufficient conditions and applications. Zbl 1167.82335Prytula, Vladyslav; Vekslerchik, Vadym; Pérez-García, Víctor M. 10 2009 Mapped Chebyshev pseudospectral method for the study of multiple scale phenomena. Zbl 1198.35251Alexandrescu, Adrian; Bueno-Orovio, Alfonso; Salgueiro, José R.; Pérez-García, Víctor M. 7 2009 Localization phenomena in nonlinear Schrödinger equations with spatially inhomogeneous nonlinearities: theory and applications to Bose-Einstein condensates. Zbl 1167.82333Pérez-García, Víctor M.; Pardo, Rosa 6 2009 Exact bright and dark spatial soliton solutions in saturable nonlinear media. Zbl 1198.81080Calvo, Gabriel F.; Belmonte-Beitia, Juan; Pérez-García, Víctor M. 3 2009 Localized and periodic exact solutions to the nonlinear Schrödinger equation with spatially modulated parameters: linear and nonlinear lattices. Zbl 1198.35253Belmonte-Beitia, Juan; Konotop, Vladimir V.; Pérez-García, Víctor M.; Vekslerchik, Vadym E. 2 2009 Nonlinear phenomena in degenerate quantum gases. Zbl 1167.82332Pérez-García, Víctor M.; Berloff, Natalia G.; Kevrekidis, Panayotis G.; Konotop, Vladimir V.; Malomed, Boris A. 1 2009 Lie symmetries, qualitative analysis and exact solutions of nonlinear Schrödinger equations with inhomogeneous nonlinearities. Zbl 1147.35093Belmonte-Beitia, Juan; Pérez-García, Víctor M.; Vekslerchik, Vadym; Torres, Pedro J. 18 2008 The method of moments for nonlinear Schrödinger equations: theory and applications. Zbl 1127.35061Pérez-García, Víctor M.; Torres, Pedro J.; Montesinos, Gaspar D. 7 2007 Modulational instability, solitons and periodic waves in a model of quantum degenerate Boson-Fermion mixtures. Zbl 1131.82022Belmonte-Beitia, Juan; Pérez-García, Víctor M.; Vekslerchik, Vadym 7 2007 Enhanced box and prism assisted algorithms for computing the correlation dimension. Zbl 1131.65099Bueno-Orovio, Alfonso; Pérez-García, Víctor M. 2 2007 Spectral methods for partial differential equations in irregular domains: the spectral smoothed boundary method. Zbl 1114.65119Bueno-Orovio, Alfonso; Pérez-García, Víctor M.; Fenton, Flavio H. 33 2006 Similarity transformations for nonlinear Schrödinger equations with time-dependent coefficients. Zbl 1106.35101Pérez-García, Víctor M.; Torres, Pedro J.; Konotop, Vladimir V. 16 2006 Spectral smoothed boundary methods: The role of external boundary conditions. Zbl 1089.65105Bueno-Orovio, Alfonso; Pérez-García, Víctor M. 15 2006 Numerical studies of stabilized Townes solitons. Zbl 1119.65395Montesinos, Gaspar D.; Pérez-García, Víctor M. 8 2005 \(n\)-body dynamics of stabilized vector solitons. Zbl 1144.37387Montesinos, Gaspar D.; Rodas-Verde, María I.; Pérez-García, Víctor M.; Michinel, Humberto 1 2005 Stabilization of solitons of the multidimensional nonlinear Schrödinger equation: matter-wave breathers. Zbl 1057.35065Montesinos, Gaspar D.; Pérez-García, Víctor M.; Torres, Pedro J. 22 2004 Self-similar solutions and collective coordinate methods for nonlinear Schrödinger equations. Zbl 1057.35067Pérez-García, Víctor M. 4 2004 Numerical methods for the simulation of trapped nonlinear Schrödinger systems. Zbl 1024.65084Pérez-García, Víctor M.; Liu, Xiaoyan 23 2003 A quasi-local Gross-Pitaevskii equation for attractive Bose-Einstein condensates. Zbl 1034.35126García-Ripoll, Juan J.; Konotop, Vladimir V.; Malomed, Boris; Pérez-García, Víctor M. 20 2003 A numerical scheme for the simulation of blow-up in the nonlinear Schrödinger equation. Zbl 1023.65094Jiménez, Salvador; Llorente, Ignacio M.; Mancho, Ana M.; Pérez-García, Víctor M.; Vázquez, Luis 4 2003 Optimizing Schrödinger functionals using Sobolev gradients: Applications to quantum mechanics and nonlinear optics. Zbl 0999.65058García-Ripoll, Juan José; Pérez-García, Víctor 33 2001 Symplectic methods for the Ablowitz-Ladik model. Zbl 0870.65115Tang, Yi-Fa; Pérez-García, Víctor M.; Vázquez, Luis 12 1997 Symplectic methods for the nonlinear Schrödinger equation. Zbl 0858.65124Tang, Y.-F.; Vázquez, L.; Zhang, F.; Pérez-García, V. M. 42 1996 Numerical solutions of the Maxwell-Bloch laser equations. Zbl 0866.65086Guo, Ben-Yu; Martín, I.; Pérez-García, Victor M.; Vázquez, Luis 2 1996 Proceedings of the Euroconference on nonlinear Klein-Gordon and Schrödinger systems: theory and applications, Madrid, Spain, September 25–30, 1995. Zbl 0901.00040 1 1996 Different and coexisting routes to chaos along a common bifurcation path in the Maxwell-Bloch equations. Zbl 0873.35097Pastor, I.; Pérez-García, Víctor M.; Encinas-Sanz, F.; Guerra, J. M. 1 1996 Numerical simulation of nonlinear Schrödinger systems: A new conservative scheme. Zbl 0832.65136Zhang, Fei; Pérez-García, Víctor M.; Vázquez, Luis 108 1995 Nonlinear plane wave solutions in the semiclassical Maxwell-Bloch laser equations. Zbl 0797.35154Pastor, I.; Pérez García, V. M.; Encinas Sanz, F.; Guerra, J. M.; Vázquez, L. 1 1993 all cited Publications top 5 cited Publications all top 5 Cited by 675 Authors 30 Pérez-García, Víctor Manuel 22 Macías-Díaz, Jorge Eduardo 18 Belmonte-Beitia, Juan 18 Zhang, Luming 14 Wang, Tingchun 9 Raza, Nauman 8 Sial, Sultan 7 Chien, Cheng-Sheng 6 Calvo, Gabriel F. 6 Guo, Boling 6 Hong, Jialin 6 Huang, Chengming 6 Konotop, Vladimir V. 6 Lakoba, Taras I. 6 Tang, Yifa 6 Wang, Hanquan 6 Wang, Pengde 5 Bueno-Orovio, Alfonso 5 Chulián, Salvador 5 Kong, Linghua 5 Qin, Mengzhao 5 Torres, Pedro José 5 Wang, Yushun 5 Yang, Jianke 5 Zhang, Zhitao 4 Chang, Shing-Lin 4 Hendy, Ahmed S. 4 Hu, Hanzhang 4 Ji, Bingquan 4 Luo, Haijun 4 Malomed, Boris A. 4 Martínez-Rubio, Álvaro 4 Pan, Xintian 4 Siddiqi, Shahid Saeed 3 Butt, Asma Rashid 3 Cai, Wenjun 3 Chen, Huei-Shuang 3 Chen, Jingbo 3 Cho, Yonggeun 3 Dias, João-Paulo 3 Fernández-Romero, Antonio 3 Figueira, Mário S. R. 3 Gatti, Stefania 3 Gómez, Héctor J. 3 Guillén González, Francisco M. 3 Jeng, B.-W. 3 Jiang, Chaolong 3 Khaliq, Abdul Q. M. 3 Li, Xin 3 Liu, Qihuai 3 Lorenzo, Guillermo 3 Martínez-González, Alicia 3 Michinel, Humberto 3 Miranville, Alain M. 3 Neuberger, John W. 3 Nie, Tao 3 Owren, Brynjulf 3 Pardo, Rosa M. 3 Qian, Dingbian 3 Reali, Alessandro 3 Song, Songhe 3 Suárez, Antonio 3 Surulescu, Christina 3 Suslov, Sergei K. 3 Thalhammer, Mechthild 3 Vekslerchik, Vadym Yevgenovych 3 Yan, Zhenya 3 Zhang, Jian 3 Zhang, RuiLi 3 Zhou, Jianxin 3 Zhu, Beibei 2 Alzahrani, S. S. 2 Bao, Weizhu 2 Bratus, Alexander S. 2 Buffat, Marc 2 Burrage, Kevin 2 Cai, Yongyong 2 Calvo, Manuel 2 Celledoni, Elena 2 Chen, Fangqi 2 Chen, Yanping 2 Cheng, Ming 2 Cheng, Xiujun 2 Cherry, Elizabeth M. 2 Cho, Heyrim 2 Cole, Justin T. 2 Colli, Pierluigi 2 Cordero-Soto, Ricardo 2 Curtin, Lee 2 Fenton, Flavio H. 2 Fernández-Cara, Enrique 2 Fu, Fangfang 2 Fu, Yayun 2 Furihata, Daisuke 2 Gallegos, Armando 2 Gandarias Núñez, Maria Luz 2 Goubet, Olivier 2 Guillevin, Rémy 2 Hakl, Robert 2 Hawkins-Daarud, Andrea J. ...and 575 more Authors all top 5 Cited in 121 Serials 35 Applied Mathematics and Computation 33 Journal of Computational Physics 28 Journal of Computational and Applied Mathematics 19 Applied Numerical Mathematics 17 Physica D 14 Communications in Nonlinear Science and Numerical Simulation 12 Computers & Mathematics with Applications 11 Journal of Scientific Computing 11 Journal of Theoretical Biology 10 International Journal of Computer Mathematics 9 Journal of Mathematical Physics 8 Chaos, Solitons and Fractals 7 Computer Physics Communications 7 Mathematics and Computers in Simulation 6 Computer Methods in Applied Mechanics and Engineering 6 Numerical Algorithms 6 Boundary Value Problems 5 Journal of Mathematical Analysis and Applications 5 Studies in Applied Mathematics 5 Applied Mathematical Modelling 4 Applicable Analysis 4 Bulletin of Mathematical Biology 4 BIT 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Numerical Methods for Partial Differential Equations 4 SIAM Journal on Scientific Computing 4 Chaos 4 New Journal of Physics 4 International Journal of Computational Methods 4 Advances in Difference Equations 3 Journal of Mathematical Biology 3 Mathematical Biosciences 3 Journal of Differential Equations 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Engineering Analysis with Boundary Elements 3 Journal of Mathematical Chemistry 3 Nonlinear Dynamics 3 Abstract and Applied Analysis 3 Mathematical Biosciences and Engineering 2 Physica A 2 Numerische Mathematik 2 SIAM Journal on Numerical Analysis 2 Mathematica Numerica Sinica 2 Applied Mathematics Letters 2 Mathematical and Computer Modelling 2 Computational and Applied Mathematics 2 Advances in Computational Mathematics 2 Journal of Difference Equations and Applications 2 Mathematical Problems in Engineering 2 Advanced Nonlinear Studies 2 Communications on Pure and Applied Analysis 2 Journal of Applied Mathematics and Computing 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Communications in Computational Physics 2 Discrete and Continuous Dynamical Systems. Series S 2 Advances in Mathematical Physics 2 Advances in Applied Mathematics and Mechanics 2 Applied Mathematics and Nonlinear Sciences 1 Modern Physics Letters B 1 International Journal of Modern Physics B 1 Archive for Rational Mechanics and Analysis 1 Letters in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Theoretical and Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Optimization 1 Calcolo 1 Computing 1 Functional Analysis and its Applications 1 Journal of Approximation Theory 1 Mathematische Nachrichten 1 Numerical Functional Analysis and Optimization 1 Proceedings of the American Mathematical Society 1 Moscow University Computational Mathematics and Cybernetics 1 Bulletin of the Korean Mathematical Society 1 Applied Mathematics and Mechanics. (English Edition) 1 Chinese Annals of Mathematics. Series B 1 Stochastic Analysis and Applications 1 Science in China. Series A 1 Japan Journal of Industrial and Applied Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Mathematical Programming. Series A. Series B 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Inequalities and Applications 1 European Journal of Mechanics. B. Fluids 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 International Journal of Applied Mathematics and Computer Science 1 International Journal of Modern Physics C 1 Journal of Modern Optics 1 Journal of Nonlinear Mathematical Physics 1 Nonlinear Analysis. Real World Applications 1 Mathematical Modelling and Analysis 1 Journal of Evolution Equations ...and 21 more Serials all top 5 Cited in 29 Fields 302 Partial differential equations (35-XX) 236 Numerical analysis (65-XX) 60 Biology and other natural sciences (92-XX) 55 Dynamical systems and ergodic theory (37-XX) 41 Quantum theory (81-XX) 39 Statistical mechanics, structure of matter (82-XX) 31 Ordinary differential equations (34-XX) 20 Optics, electromagnetic theory (78-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 14 Fluid mechanics (76-XX) 9 Operator theory (47-XX) 8 Mechanics of deformable solids (74-XX) 7 Approximations and expansions (41-XX) 6 Real functions (26-XX) 6 Probability theory and stochastic processes (60-XX) 6 Operations research, mathematical programming (90-XX) 5 Difference and functional equations (39-XX) 4 Computer science (68-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Relativity and gravitational theory (83-XX) 2 Special functions (33-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 Mechanics of particles and systems (70-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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