A. N. Leznov, “The inverse scattering method in a form invariant with respect to representations of the internal symmetry algebra”, TMF, 58:1 (1984), 156–160; Theoret. and Math. Phys., 58:1 (1984), 103

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Teoreticheskaya i Matematicheskaya Fizika, 1984, Volume 58, Number 1, Pages 156–160 (Mi tmf4440)

This article is cited in 12 scientific papers (total in 12 papers)

The inverse scattering method in a form invariant with respect to representations of the internal symmetry algebra

A. N. Leznov

Full-text PDF (494 kB) Citations (12)

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Abstract: For the example of the sine–Gordon equation, a method is developed for finding soliton solutions that does not involve a specific matrix realization of the Lax L–A pair but uses directly the properties of the internal symmetry algebra of the corresponding equations.

Received: 12.04.1983

English version:
Theoretical and Mathematical Physics, 1984, Volume 58, Issue 1, Pages 103–106
DOI: https://doi.org/10.1007/BF01031041

Bibliographic databases:

Language: Russian

Citation: A. N. Leznov, “The inverse scattering method in a form invariant with respect to representations of the internal symmetry algebra”, TMF, 58:1 (1984), 156–160; Theoret. and Math. Phys., 58:1 (1984), 103–106

Citation in format AMSBIB

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\jour Theoret. and Math. Phys.

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\pages 103--106

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Linking options:

https://www.mathnet.ru/eng/tmf4440

https://www.mathnet.ru/eng/tmf/v58/i1/p156

This publication is cited in the following 12 articles:

V.S. Gerdjikov, G. Vilasi, A.B. Yanovski, Lecture Notes in Physics, 748, Integrable Hamiltonian Hierarchies, 2008, 37
V.S. Gerdjikov, G. Vilasi, A.B. Yanovski, Lecture Notes in Physics, 748, Integrable Hamiltonian Hierarchies, 2008, 315
V.S. Gerdjikov, G. Vilasi, A.B. Yanovski, Lecture Notes in Physics, 748, Integrable Hamiltonian Hierarchies, 2008, 211
Jean-Loup Gervais, Mikhail V. Saveliev, “Higher grading generalisations of the Toda systems”, Nuclear Physics B, 453:1-2 (1995), 449
S. V. Prants, “Quantum dynamics of atoms in modulated laser fields”, J Russ Laser Res, 12:2 (1991), 165
A. N. Leznov, M. V. Saveliev, “Exactly and completely integrable nonlinear dynamical systems”, Acta Appl Math, 16:1 (1989), 1
A. N. Leznov, M. V. Saveliev, Symmetries of Partial Differential Equations, 1989, 213
V.S. Gerdjikov, “The Zakharov-Shabat dressing method and the representation theory of the semisimple Lie algebras”, Physics Letters A, 126:3 (1987), 184
A. N. Leznov, V. I. Man'ko, S. M. Chumakov, “Symmetries and soliton solutions of nonlinear equations”, Theoret. and Math. Phys., 63:1 (1985), 356–365
M. V. Saveliev, “Classification of exactly integrable embeddings of two-dimensional manifolds. The coefficients of the third fundamental forms”, Theoret. and Math. Phys., 60:1 (1984), 638–647
S. M. Chumakov, A. N. Leznov, V. I. Man'ko, “An algebraic approach to soliton solutions”, Lett Math Phys, 8:5 (1984), 413
A. N. Leznov, M. V. Saveliev, “Nonlinear equations and graded Lie algebras”, J. Soviet Math., 36:6 (1987), 699–721

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	135
References:	98
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