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Alonso, L. Martínez

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Author ID: alonso.l-martinez Recent zbMATH articles by "Alonso, L. Martínez"
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

Publications by Year

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 1178.37067
Alonso, L. Martínez; Shabat, A. B.
33
2004
Schrödinger spectral problems with energy-dependent potentials as sources of nonlinear Hamiltonian evolution equations. Zbl 0455.35111
Alonso, L. Martinez
33
1980
A general setting for Casimir invariants. Zbl 0308.17005
Abellanas, L.; Alonso, L. Martinez
33
1975
On the prolongation of a hierarchy of hydrodynamic chains. Zbl 1061.35099
Shabat, A. B.; Martínez Alonso, L.
20
2004
On the Noether map. Zbl 0433.49012
Martinez Alonso, L.
18
1979
The \(\overline\partial\)-approach to the dispersionless KP hierarchy. Zbl 1004.37049
Konopelchenko, B.; Martínez Alonso, L.; Ragnisco, O.
17
2001
Towards a theory of differential constraints of a hydrodynamic hierarchy. Zbl 1055.35092
Martínez Alonso, L.; Shabat, A. B.
16
2003
Dispersionless scalar integrable hierarchies, Whitham hierarchy, and the quasiclassical \(\overline\partial\)-dressing method. Zbl 1060.37056
Konopelchenko, B.; Martinez Alonso, L.
15
2002
Energy-dependent potentials revisited: A universal hierarchy of hydrodynamic type. Zbl 0997.37045
Martínez Alonso, L.; Shabat, A. B.
13
2002
Energy-dependent potentials revisited: a universal hierarchy of hydrodynamic type. Zbl 0996.37072
Martínez Alonso, L.; Shabat, A. B.
13
2002
Integrable quasiclassical deformations of algebraic curves. Zbl 1078.14049
Konopelchenko, B.; Alonso, L. Martínez
5
2004
Trace identities in the inverse scattering transform method associated with matrix Schrödinger operators. Zbl 0505.35028
Alonso, L. Martinez; Olmedilla, E.
5
1982
Group-theoretical foundations of classical and quantum mechanics. I: Observables associated with Lie algebras. Zbl 0373.22012
Martinez Alonso, L.
5
1977
Hodograph solutions of the dispersionless coupled KdV hierarchies, critical points and the Euler-Poisson-Darboux equation. Zbl 1209.37078
Konopelchenko, B.; Alonso, L. Martínez; Medina, E.
4
2010
\(\bar \partial{}\)-equations, integrable deformations of quasiconformal mappings and Whitham hierarchy. Zbl 0969.37527
Konopelchenko, B.; Martínez Alonso, L.
4
2001
Algebraic geometry and soliton dynamics. Zbl 1080.37591
Martinez Alonso, L.; Olmedilla Moreno, E.
4
1995
Gel’fand-Dikii method and nonlinear equations associated to Schrödinger operators with energy-dependent potentials. Zbl 0464.35061
Martinez Alonso, L.
4
1980
Generalised variational derivatives in field theory. Zbl 0438.49024
Guerrero, F. Guil; Alonso, L. Martinez
4
1980
Semiclassical expansions in the Toda hierarchy and the Hermitian matrix model. Zbl 1126.81029
Martínez Alonso, L.; Medina, E.
3
2007
Semiclassical \(\overline\partial \)-method: generating equations for dispersionless integrable hierarchies. Zbl 1068.37048
Bogdanov, L. V.; Konopelchenko, B. G.; Martínez Alonso, L.
3
2003
Invariants in enveloping algebras under the action of Lie algebras of derivations. Zbl 0419.17008
Abellanas, L.; Martinez Alonso, L.
3
1979
On the Gel’fand-Kirillov conjecture. Zbl 0304.17002
Abellanas, L.; Alonso, L. Martinez
3
1975
Integrable deformations of algebraic curves. Zbl 1178.37079
Kodama, Y.; Konopelchenko, B. G.; Alonso, L. Martinez
2
2005
A hodograph transformation applicable to a large class of PDEs. Zbl 1178.35019
Mañas, M.; Alonso, L. Martínez
2
2003
Group-theoretical analysis of the sine-Gordon equation as a relativistic dynamical system. Zbl 0529.70023
Alonso, L. Martinez
2
1983
A new infinite-dimensional Kirillov’s structure related with nonlinear evolution equations. Zbl 0488.58012
Alonso, L. Martinez
2
1981
Modified Hamiltonian systems and canonical transformations arising from the relationship between generalized Zakharov-Shabat and energy-dependent Schrödinger operators. Zbl 0487.70023
Alonso, L. Martinez; Guerrero, F. Guil
2
1981
Group-theoretical foundations of classical and quantum mechanics. II: Elementary systems. Zbl 0416.22023
Martinez Alonso, L.
2
1979
Quantization from the algebraic viewpoint. Zbl 0356.17008
Abellanas, L.; Martinez Alonso, L.
2
1976
On the singular sector of the Hermitian random matrix model in the large \(N\) limit. Zbl 1242.37046
Konopelchenko, B.; Martínez Alonso, L.; Medina, E.
1
2011
Regularization of Hele-Shaw flows, multiscaling expansions and the Painlevé-I equation. Zbl 1198.35232
Martínez Alonso, L.; Medina, E.
1
2009
A common integrable structure in the Hermitian matrix model and Hele-Shaw flows. Zbl 1362.37122
Alonso, L. Martínez; Medina, E.
1
2008
The double scaling limit method in the Toda hierarchy. Zbl 1165.37027
Martínez Alonso, L.; Medina, E.
1
2008
A classification of integrable quasiclassical deformations of algebraic curves. Zbl 1097.14028
Konopelchenko, B.; Alonso, L. Martínez; Medina, E.
1
2006
Reductions of the dispersionless KP hierarchy. Zbl 1067.37098
Mañas, M.; Martínez Alonso, L.; Medina, E.
1
2002
Soliton interaction and prime forms on Riemann surfaces. Zbl 0941.37535
Martínez Alonso, L.; Olmedilla Moreno, E.
1
1994
Inverse scattering variables of the KdV equation from the point of view of Galilean mechanics. Zbl 0554.35103
Martínez Alonso, L.
1
1983
On the singular sector of the Hermitian random matrix model in the large \(N\) limit. Zbl 1242.37046
Konopelchenko, 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 1209.37078
Konopelchenko, B.; Alonso, L. Martínez; Medina, E.
4
2010
Regularization of Hele-Shaw flows, multiscaling expansions and the Painlevé-I equation. Zbl 1198.35232
Martínez Alonso, L.; Medina, E.
1
2009
A common integrable structure in the Hermitian matrix model and Hele-Shaw flows. Zbl 1362.37122
Alonso, L. Martínez; Medina, E.
1
2008
The double scaling limit method in the Toda hierarchy. Zbl 1165.37027
Martínez Alonso, L.; Medina, E.
1
2008
Semiclassical expansions in the Toda hierarchy and the Hermitian matrix model. Zbl 1126.81029
Martínez Alonso, L.; Medina, E.
3
2007
A classification of integrable quasiclassical deformations of algebraic curves. Zbl 1097.14028
Konopelchenko, B.; Alonso, L. Martínez; Medina, E.
1
2006
Integrable deformations of algebraic curves. Zbl 1178.37079
Kodama, Y.; Konopelchenko, B. G.; Alonso, L. Martinez
2
2005
Hydrodynamic reductions and solutions of a universal hierarchy. Zbl 1178.37067
Alonso, L. Martínez; Shabat, A. B.
33
2004
On the prolongation of a hierarchy of hydrodynamic chains. Zbl 1061.35099
Shabat, A. B.; Martínez Alonso, L.
20
2004
Integrable quasiclassical deformations of algebraic curves. Zbl 1078.14049
Konopelchenko, B.; Alonso, L. Martínez
5
2004
Towards a theory of differential constraints of a hydrodynamic hierarchy. Zbl 1055.35092
Martínez Alonso, L.; Shabat, A. B.
16
2003
Semiclassical \(\overline\partial \)-method: generating equations for dispersionless integrable hierarchies. Zbl 1068.37048
Bogdanov, L. V.; Konopelchenko, B. G.; Martínez Alonso, L.
3
2003
A hodograph transformation applicable to a large class of PDEs. Zbl 1178.35019
Mañas, M.; Alonso, L. Martínez
2
2003
Dispersionless scalar integrable hierarchies, Whitham hierarchy, and the quasiclassical \(\overline\partial\)-dressing method. Zbl 1060.37056
Konopelchenko, B.; Martinez Alonso, L.
15
2002
Energy-dependent potentials revisited: A universal hierarchy of hydrodynamic type. Zbl 0997.37045
Martínez Alonso, L.; Shabat, A. B.
13
2002
Energy-dependent potentials revisited: a universal hierarchy of hydrodynamic type. Zbl 0996.37072
Martínez Alonso, L.; Shabat, A. B.
13
2002
Reductions of the dispersionless KP hierarchy. Zbl 1067.37098
Mañas, M.; Martínez Alonso, L.; Medina, E.
1
2002
The \(\overline\partial\)-approach to the dispersionless KP hierarchy. Zbl 1004.37049
Konopelchenko, B.; Martínez Alonso, L.; Ragnisco, O.
17
2001
\(\bar \partial{}\)-equations, integrable deformations of quasiconformal mappings and Whitham hierarchy. Zbl 0969.37527
Konopelchenko, B.; Martínez Alonso, L.
4
2001
Algebraic geometry and soliton dynamics. Zbl 1080.37591
Martinez Alonso, L.; Olmedilla Moreno, E.
4
1995
Soliton interaction and prime forms on Riemann surfaces. Zbl 0941.37535
Martínez Alonso, L.; Olmedilla Moreno, E.
1
1994
Group-theoretical analysis of the sine-Gordon equation as a relativistic dynamical system. Zbl 0529.70023
Alonso, L. Martinez
2
1983
Inverse scattering variables of the KdV equation from the point of view of Galilean mechanics. Zbl 0554.35103
Martínez Alonso, L.
1
1983
Trace identities in the inverse scattering transform method associated with matrix Schrödinger operators. Zbl 0505.35028
Alonso, L. Martinez; Olmedilla, E.
5
1982
A new infinite-dimensional Kirillov’s structure related with nonlinear evolution equations. Zbl 0488.58012
Alonso, L. Martinez
2
1981
Modified Hamiltonian systems and canonical transformations arising from the relationship between generalized Zakharov-Shabat and energy-dependent Schrödinger operators. Zbl 0487.70023
Alonso, L. Martinez; Guerrero, F. Guil
2
1981
Schrödinger spectral problems with energy-dependent potentials as sources of nonlinear Hamiltonian evolution equations. Zbl 0455.35111
Alonso, L. Martinez
33
1980
Gel’fand-Dikii method and nonlinear equations associated to Schrödinger operators with energy-dependent potentials. Zbl 0464.35061
Martinez Alonso, L.
4
1980
Generalised variational derivatives in field theory. Zbl 0438.49024
Guerrero, F. Guil; Alonso, L. Martinez
4
1980
On the Noether map. Zbl 0433.49012
Martinez Alonso, L.
18
1979
Invariants in enveloping algebras under the action of Lie algebras of derivations. Zbl 0419.17008
Abellanas, L.; Martinez Alonso, L.
3
1979
Group-theoretical foundations of classical and quantum mechanics. II: Elementary systems. Zbl 0416.22023
Martinez Alonso, L.
2
1979
Group-theoretical foundations of classical and quantum mechanics. I: Observables associated with Lie algebras. Zbl 0373.22012
Martinez Alonso, L.
5
1977
Quantization from the algebraic viewpoint. Zbl 0356.17008
Abellanas, L.; Martinez Alonso, L.
2
1976
A general setting for Casimir invariants. Zbl 0308.17005
Abellanas, L.; Alonso, L. Martinez
33
1975
On the Gel’fand-Kirillov conjecture. Zbl 0304.17002
Abellanas, L.; Alonso, L. Martinez
3
1975
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

Citations by Year