Edit Profile Alonso, L. Martínez Compute Distance To: Compute Author ID: alonso.l-martinez Published as: Alonso, L.; Alonso, L. M.; Alonso, L. Martinez; Alonso, L. Martínez; Martinez Alonso, L.; Martínez Alonso, L. Documents Indexed: 55 Publications since 1975, including 1 Book all top 5 Co-Authors 4 single-authored 8 Medina, Elena 6 Konopelchenko, Boris Georgievich 5 Shabat, Alekseĭ Borisovich 3 Abellanas, Lorenzo 2 Guerrero, F. Guil 2 Kodama, Yuji 1 Galindo, A. M. 1 Mañas, Manuel 1 Olmedilla, E. all top 5 Serials 6 Journal of Mathematical Physics 4 Theoretical and Mathematical Physics 4 Journal of Physics A: Mathematical and General 2 Letters in Mathematical Physics 2 Physics Letters. A 2 Journal of Nonlinear Mathematical Physics 2 Journal of Physics A: Mathematical and Theoretical 1 Communications in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Chaos, Solitons and Fractals all top 5 Fields 16 Partial differential equations (35-XX) 13 Dynamical systems and ergodic theory (37-XX) 5 Algebraic geometry (14-XX) 4 Quantum theory (81-XX) 3 Nonassociative rings and algebras (17-XX) 3 Mechanics of particles and systems (70-XX) 2 Ordinary differential equations (34-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Fluid mechanics (76-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 37 Publications have been cited 280 times in 226 Documents Cited by ▼ Year ▼ Hydrodynamic reductions and solutions of a universal hierarchy. Zbl 1178.37067Alonso, L. Martínez; Shabat, A. B. 33 2004 Schrödinger spectral problems with energy-dependent potentials as sources of nonlinear Hamiltonian evolution equations. Zbl 0455.35111Alonso, L. Martinez 33 1980 A general setting for Casimir invariants. Zbl 0308.17005Abellanas, L.; Alonso, L. Martinez 33 1975 On the prolongation of a hierarchy of hydrodynamic chains. Zbl 1061.35099Shabat, A. B.; Martínez Alonso, L. 20 2004 On the Noether map. Zbl 0433.49012Martinez Alonso, L. 18 1979 The \(\overline\partial\)-approach to the dispersionless KP hierarchy. Zbl 1004.37049Konopelchenko, B.; Martínez Alonso, L.; Ragnisco, O. 17 2001 Towards a theory of differential constraints of a hydrodynamic hierarchy. Zbl 1055.35092Martínez Alonso, L.; Shabat, A. B. 16 2003 Dispersionless scalar integrable hierarchies, Whitham hierarchy, and the quasiclassical \(\overline\partial\)-dressing method. Zbl 1060.37056Konopelchenko, B.; Martinez Alonso, L. 15 2002 Energy-dependent potentials revisited: A universal hierarchy of hydrodynamic type. Zbl 0997.37045Martínez Alonso, L.; Shabat, A. B. 13 2002 Energy-dependent potentials revisited: a universal hierarchy of hydrodynamic type. Zbl 0996.37072Martínez Alonso, L.; Shabat, A. B. 13 2002 Integrable quasiclassical deformations of algebraic curves. Zbl 1078.14049Konopelchenko, B.; Alonso, L. Martínez 5 2004 Trace identities in the inverse scattering transform method associated with matrix Schrödinger operators. Zbl 0505.35028Alonso, L. Martinez; Olmedilla, E. 5 1982 Group-theoretical foundations of classical and quantum mechanics. I: Observables associated with Lie algebras. Zbl 0373.22012Martinez Alonso, L. 5 1977 Hodograph solutions of the dispersionless coupled KdV hierarchies, critical points and the Euler-Poisson-Darboux equation. Zbl 1209.37078Konopelchenko, B.; Alonso, L. Martínez; Medina, E. 4 2010 \(\bar \partial{}\)-equations, integrable deformations of quasiconformal mappings and Whitham hierarchy. Zbl 0969.37527Konopelchenko, B.; Martínez Alonso, L. 4 2001 Algebraic geometry and soliton dynamics. Zbl 1080.37591Martinez Alonso, L.; Olmedilla Moreno, E. 4 1995 Gel’fand-Dikii method and nonlinear equations associated to Schrödinger operators with energy-dependent potentials. Zbl 0464.35061Martinez Alonso, L. 4 1980 Generalised variational derivatives in field theory. Zbl 0438.49024Guerrero, F. Guil; Alonso, L. Martinez 4 1980 Semiclassical expansions in the Toda hierarchy and the Hermitian matrix model. Zbl 1126.81029Martínez Alonso, L.; Medina, E. 3 2007 Semiclassical \(\overline\partial \)-method: generating equations for dispersionless integrable hierarchies. Zbl 1068.37048Bogdanov, L. V.; Konopelchenko, B. G.; Martínez Alonso, L. 3 2003 Invariants in enveloping algebras under the action of Lie algebras of derivations. Zbl 0419.17008Abellanas, L.; Martinez Alonso, L. 3 1979 On the Gel’fand-Kirillov conjecture. Zbl 0304.17002Abellanas, L.; Alonso, L. Martinez 3 1975 Integrable deformations of algebraic curves. Zbl 1178.37079Kodama, Y.; Konopelchenko, B. G.; Alonso, L. Martinez 2 2005 A hodograph transformation applicable to a large class of PDEs. Zbl 1178.35019Mañas, M.; Alonso, L. Martínez 2 2003 Group-theoretical analysis of the sine-Gordon equation as a relativistic dynamical system. Zbl 0529.70023Alonso, L. Martinez 2 1983 A new infinite-dimensional Kirillov’s structure related with nonlinear evolution equations. Zbl 0488.58012Alonso, L. Martinez 2 1981 Modified Hamiltonian systems and canonical transformations arising from the relationship between generalized Zakharov-Shabat and energy-dependent Schrödinger operators. Zbl 0487.70023Alonso, L. Martinez; Guerrero, F. Guil 2 1981 Group-theoretical foundations of classical and quantum mechanics. II: Elementary systems. Zbl 0416.22023Martinez Alonso, L. 2 1979 Quantization from the algebraic viewpoint. Zbl 0356.17008Abellanas, L.; Martinez Alonso, L. 2 1976 On the singular sector of the Hermitian random matrix model in the large \(N\) limit. Zbl 1242.37046Konopelchenko, B.; Martínez Alonso, L.; Medina, E. 1 2011 Regularization of Hele-Shaw flows, multiscaling expansions and the Painlevé-I equation. Zbl 1198.35232Martínez Alonso, L.; Medina, E. 1 2009 A common integrable structure in the Hermitian matrix model and Hele-Shaw flows. Zbl 1362.37122Alonso, L. Martínez; Medina, E. 1 2008 The double scaling limit method in the Toda hierarchy. Zbl 1165.37027Martínez Alonso, L.; Medina, E. 1 2008 A classification of integrable quasiclassical deformations of algebraic curves. Zbl 1097.14028Konopelchenko, B.; Alonso, L. Martínez; Medina, E. 1 2006 Reductions of the dispersionless KP hierarchy. Zbl 1067.37098Mañas, M.; Martínez Alonso, L.; Medina, E. 1 2002 Soliton interaction and prime forms on Riemann surfaces. Zbl 0941.37535Martínez Alonso, L.; Olmedilla Moreno, E. 1 1994 Inverse scattering variables of the KdV equation from the point of view of Galilean mechanics. Zbl 0554.35103Martínez Alonso, L. 1 1983 On the singular sector of the Hermitian random matrix model in the large \(N\) limit. Zbl 1242.37046Konopelchenko, B.; Martínez Alonso, L.; Medina, E. 1 2011 Hodograph solutions of the dispersionless coupled KdV hierarchies, critical points and the Euler-Poisson-Darboux equation. Zbl 1209.37078Konopelchenko, B.; Alonso, L. Martínez; Medina, E. 4 2010 Regularization of Hele-Shaw flows, multiscaling expansions and the Painlevé-I equation. Zbl 1198.35232Martínez Alonso, L.; Medina, E. 1 2009 A common integrable structure in the Hermitian matrix model and Hele-Shaw flows. Zbl 1362.37122Alonso, L. Martínez; Medina, E. 1 2008 The double scaling limit method in the Toda hierarchy. Zbl 1165.37027Martínez Alonso, L.; Medina, E. 1 2008 Semiclassical expansions in the Toda hierarchy and the Hermitian matrix model. Zbl 1126.81029Martínez Alonso, L.; Medina, E. 3 2007 A classification of integrable quasiclassical deformations of algebraic curves. Zbl 1097.14028Konopelchenko, B.; Alonso, L. Martínez; Medina, E. 1 2006 Integrable deformations of algebraic curves. Zbl 1178.37079Kodama, Y.; Konopelchenko, B. G.; Alonso, L. Martinez 2 2005 Hydrodynamic reductions and solutions of a universal hierarchy. Zbl 1178.37067Alonso, L. Martínez; Shabat, A. B. 33 2004 On the prolongation of a hierarchy of hydrodynamic chains. Zbl 1061.35099Shabat, A. B.; Martínez Alonso, L. 20 2004 Integrable quasiclassical deformations of algebraic curves. Zbl 1078.14049Konopelchenko, B.; Alonso, L. Martínez 5 2004 Towards a theory of differential constraints of a hydrodynamic hierarchy. Zbl 1055.35092Martínez Alonso, L.; Shabat, A. B. 16 2003 Semiclassical \(\overline\partial \)-method: generating equations for dispersionless integrable hierarchies. Zbl 1068.37048Bogdanov, L. V.; Konopelchenko, B. G.; Martínez Alonso, L. 3 2003 A hodograph transformation applicable to a large class of PDEs. Zbl 1178.35019Mañas, M.; Alonso, L. Martínez 2 2003 Dispersionless scalar integrable hierarchies, Whitham hierarchy, and the quasiclassical \(\overline\partial\)-dressing method. Zbl 1060.37056Konopelchenko, B.; Martinez Alonso, L. 15 2002 Energy-dependent potentials revisited: A universal hierarchy of hydrodynamic type. Zbl 0997.37045Martínez Alonso, L.; Shabat, A. B. 13 2002 Energy-dependent potentials revisited: a universal hierarchy of hydrodynamic type. Zbl 0996.37072Martínez Alonso, L.; Shabat, A. B. 13 2002 Reductions of the dispersionless KP hierarchy. Zbl 1067.37098Mañas, M.; Martínez Alonso, L.; Medina, E. 1 2002 The \(\overline\partial\)-approach to the dispersionless KP hierarchy. Zbl 1004.37049Konopelchenko, B.; Martínez Alonso, L.; Ragnisco, O. 17 2001 \(\bar \partial{}\)-equations, integrable deformations of quasiconformal mappings and Whitham hierarchy. Zbl 0969.37527Konopelchenko, B.; Martínez Alonso, L. 4 2001 Algebraic geometry and soliton dynamics. Zbl 1080.37591Martinez Alonso, L.; Olmedilla Moreno, E. 4 1995 Soliton interaction and prime forms on Riemann surfaces. Zbl 0941.37535Martínez Alonso, L.; Olmedilla Moreno, E. 1 1994 Group-theoretical analysis of the sine-Gordon equation as a relativistic dynamical system. Zbl 0529.70023Alonso, L. Martinez 2 1983 Inverse scattering variables of the KdV equation from the point of view of Galilean mechanics. Zbl 0554.35103Martínez Alonso, L. 1 1983 Trace identities in the inverse scattering transform method associated with matrix Schrödinger operators. Zbl 0505.35028Alonso, L. Martinez; Olmedilla, E. 5 1982 A new infinite-dimensional Kirillov’s structure related with nonlinear evolution equations. Zbl 0488.58012Alonso, L. Martinez 2 1981 Modified Hamiltonian systems and canonical transformations arising from the relationship between generalized Zakharov-Shabat and energy-dependent Schrödinger operators. Zbl 0487.70023Alonso, L. Martinez; Guerrero, F. Guil 2 1981 Schrödinger spectral problems with energy-dependent potentials as sources of nonlinear Hamiltonian evolution equations. Zbl 0455.35111Alonso, L. Martinez 33 1980 Gel’fand-Dikii method and nonlinear equations associated to Schrödinger operators with energy-dependent potentials. Zbl 0464.35061Martinez Alonso, L. 4 1980 Generalised variational derivatives in field theory. Zbl 0438.49024Guerrero, F. Guil; Alonso, L. Martinez 4 1980 On the Noether map. Zbl 0433.49012Martinez Alonso, L. 18 1979 Invariants in enveloping algebras under the action of Lie algebras of derivations. Zbl 0419.17008Abellanas, L.; Martinez Alonso, L. 3 1979 Group-theoretical foundations of classical and quantum mechanics. II: Elementary systems. Zbl 0416.22023Martinez Alonso, L. 2 1979 Group-theoretical foundations of classical and quantum mechanics. I: Observables associated with Lie algebras. Zbl 0373.22012Martinez Alonso, L. 5 1977 Quantization from the algebraic viewpoint. Zbl 0356.17008Abellanas, L.; Martinez Alonso, L. 2 1976 A general setting for Casimir invariants. Zbl 0308.17005Abellanas, L.; Alonso, L. Martinez 33 1975 On the Gel’fand-Kirillov conjecture. Zbl 0304.17002Abellanas, L.; Alonso, L. Martinez 3 1975 all cited Publications top 5 cited Publications all top 5 Cited by 278 Authors 16 Konopelchenko, Boris Georgievich 15 Morozov, Oleg I. 12 Alonso, L. Martínez 8 Ferapontov, Evgeny Vladimirovich 7 Martínez Alonso, Luis 6 Krasil’shchik, Iosif Semënovich 6 Medina, Elena 6 Prykarpatsky, Yarema Anatoliyovych 6 Sergyeyev, Artur 6 Vojčák, Petr 6 Zeng, Yunbo 5 Baran, Hynek 5 Błaszak, Maciej 5 Khusnutdinova, Karima Robertovna 5 Liu, Yue 5 Patera, Jiří 4 Cheviakov, Alexei F. 4 Hrivnák, Jiří 4 Marciniak, Krzysztof 4 Novotný, Petr 4 Pavlov, Maxim V. 4 Popovych, Roman O. 3 Anco, Stephen C. 3 Bogdanov, Leonid Vital’evich 3 Eshaghi Gordji, Madjid 3 Hentosh, Oksana E. 3 Jaulent, Marcel 3 Kodama, Yuji 3 Kruglikov, Boris S. 3 Mañas, Manuel 3 Ortenzi, Giovanni 3 Prykarpatsky, Anatoliy Karolevych 3 Santini, Paolo Maria 3 Shabat, Alekseĭ Borisovich 3 Tu, Minghsien 3 Winternitz, Pavel 3 Wu, Hongxia 2 Abellanas, Lorenzo 2 Blackmore, Denis L. 2 Boiti, Marco 2 Bondarenko, Natalia P. 2 Bruzón, Maria Santos 2 Carroll, Robert L. 2 Chang, Jen-Hsu 2 Chen, Ming 2 Chen, Yu-Tung 2 dela Rosa, Rafael S. 2 Dunajski, Maciej 2 Garrido, Tamara Maria 2 Gerdzhikov, Vladimir Stefanov 2 Grant, Timothy J. 2 Grinevich, Pëtr Georgievich 2 Gui, Guilong 2 Gürses, Metin 2 Hentosh, Oksana Ye. 2 Jean, Cecile 2 Kaneta, Hitoshi 2 Klein, Christian 2 Krause, Jürgen 2 Lee, Niann-Chern 2 Li, Jibin 2 Liu, Siqi 2 Lorenzoni, Paolo 2 Luo, Ting 2 Magri, Franco 2 Marshall, D. G. 2 Naeem, Imran 2 Naz, Rehana 2 Odesskii, Alexander 2 Ovsienko, Valentin Yu. 2 Pecina-Cruz, J. N. 2 Pekcan, Asli 2 Qu, Changzheng 2 Recio, Elena 2 Sharp, Robert T. 2 Shen, Hsin-Fu 2 Szablikowski, Błażej M. 2 Tsarev, Sergej Petrovich 2 Tu, Guizhang 2 Wang, Yang 2 Wei, Long 2 Yordanov, Russi G. 2 Zassenhaus, Hans Julius 2 Zenchuk, Alexandre I. 2 Zhang, Youjin 2 Zhang, Zhiyong 1 Abbaszadeh, Sadegh 1 Adler, Vsevolod Eduardovich 1 Aktosun, Tuncay 1 Alekseevskiĭ, Dmitriĭ Vladimirovich 1 Alonso, Martinez L. 1 Alshammari, Fahad 1 Álvarez, Gabriel 1 Anderson, Rodney L. 1 Antonowicz, Marek 1 Arsie, Alessandro 1 Bahturin, Yuri 1 Barostichi, Rafael F. 1 Berdjis, F. 1 Berger, Roland ...and 178 more Authors all top 5 Cited in 73 Serials 57 Journal of Mathematical Physics 16 Journal of Geometry and Physics 15 Theoretical and Mathematical Physics 11 Letters in Mathematical Physics 8 Journal of Nonlinear Mathematical Physics 7 Communications in Mathematical Physics 6 Journal of Mathematical Analysis and Applications 5 Physics Letters. A 4 Journal of Soviet Mathematics 4 Linear Algebra and its Applications 3 Chaos, Solitons and Fractals 3 Applied Mathematics and Computation 3 Journal of Differential Equations 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Studies in Applied Mathematics 3 Physica D 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Mathematical Methods in the Applied Sciences 2 Nuclear Physics. B 2 Ukrainian Mathematical Journal 2 Journal of Functional Analysis 2 Mathematische Annalen 2 Nagoya Mathematical Journal 2 Quarterly of Applied Mathematics 2 Acta Applicandae Mathematicae 2 Mathematical Problems in Engineering 2 Communications in Nonlinear Science and Numerical Simulation 2 Lobachevskii Journal of Mathematics 2 International Journal of Geometric Methods in Modern Physics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Journal of Physics A: Mathematical and Theoretical 2 Discrete and Continuous Dynamical Systems. Series S 1 International Journal of Modern Physics A 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 International Journal of Theoretical Physics 1 Journal d’Analyse Mathématique 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Reports on Mathematical Physics 1 Wave Motion 1 Reviews in Mathematical Physics 1 Bulletin de la Société Mathématique de France 1 Functional Analysis and its Applications 1 Journal of Algebra 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Applied Mathematics Letters 1 International Journal of Mathematics 1 European Journal of Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Journal of Dynamics and Differential Equations 1 International Journal of Robust and Nonlinear Control 1 Journal of Nonlinear Science 1 Calculus of Variations and Partial Differential Equations 1 Russian Journal of Mathematical Physics 1 Journal of Mathematical Chemistry 1 Abstract and Applied Analysis 1 LMS Journal of Computation and Mathematics 1 Russian Physics Journal 1 International Journal of Modern Physics C 1 Far East Journal of Dynamical Systems 1 Foundations of Computational Mathematics 1 Central European Journal of Mathematics 1 Fixed Point Theory and Applications 1 Advances in Pure and Applied Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Symmetry 1 Analysis and Mathematical Physics 1 Mathematics 1 European Journal of Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 32 Fields 127 Partial differential equations (35-XX) 108 Dynamical systems and ergodic theory (37-XX) 38 Nonassociative rings and algebras (17-XX) 29 Quantum theory (81-XX) 22 Topological groups, Lie groups (22-XX) 20 Global analysis, analysis on manifolds (58-XX) 17 Fluid mechanics (76-XX) 16 Ordinary differential equations (34-XX) 15 Differential geometry (53-XX) 12 Mechanics of particles and systems (70-XX) 10 Algebraic geometry (14-XX) 6 Difference and functional equations (39-XX) 6 Operator theory (47-XX) 5 Functions of a complex variable (30-XX) 4 Group theory and generalizations (20-XX) 4 Relativity and gravitational theory (83-XX) 3 Associative rings and algebras (16-XX) 3 Special functions (33-XX) 3 Functional analysis (46-XX) 3 Numerical analysis (65-XX) 3 Computer science (68-XX) 3 Mechanics of deformable solids (74-XX) 2 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 \(K\)-theory (19-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) Citations by Year