V. D. Lipovskii, A. V. Shirokov, “$2+1$ Toda chain. I. Inverse scattering method”, TMF, 75:3 (1988), 323–339; Theoret. and Math. Phys., 75:3 (1988), 555

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Teoreticheskaya i Matematicheskaya Fizika, 1988, Volume 75, Number 3, Pages 323–339 (Mi tmf4945)

This article is cited in 10 scientific papers (total in 10 papers)

$2+1$ Toda chain. I. Inverse scattering method

V. D. Lipovskii, A. V. Shirokov

Full-text PDF (1527 kB) Citations (10)

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Abstract: A formal scheme of the inverse scattering method is constructed for the

$2+1$ Toda chain in the class of rapidly decreasing Cauchy data.

Received: 29.10.1986

English version:
Theoretical and Mathematical Physics, 1988, Volume 75, Issue 3, Pages 555–566
DOI: https://doi.org/10.1007/BF01036254

Bibliographic databases:

Language: Russian

Citation: V. D. Lipovskii, A. V. Shirokov, “

$2+1$ Toda chain. I. Inverse scattering method”, TMF, 75:3 (1988), 323–339; Theoret. and Math. Phys., 75:3 (1988), 555–566

Citation in format AMSBIB

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\by V.~D.~Lipovskii, A.~V.~Shirokov

\paper $2+1$~Toda chain. I.~Inverse scattering method

\jour TMF

\yr 1988

\vol 75

\issue 3

\pages 323--339

\mathnet{http://mi.mathnet.ru/tmf4945}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=959718}

\transl

\jour Theoret. and Math. Phys.

\yr 1988

\vol 75

\issue 3

\pages 555--566

\crossref{https://doi.org/10.1007/BF01036254}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1988U173000001}

Linking options:

https://www.mathnet.ru/eng/tmf4945

https://www.mathnet.ru/eng/tmf/v75/i3/p323

Cycle of papers

$2+1$ Toda chain. I. Inverse scattering method
V. D. Lipovskii, A. V. Shirokov
TMF, 1988, 75:3, 323–339
$2+1$ Toda chain. II. Hamiltonian formalism
V. D. Lipovskii, A. V. Shirokov
TMF, 1990, 84:1, 64–78

This publication is cited in the following 10 articles:

Sheng-Nan Wang, Han-Han Sheng, Guo-Fu Yu, “Dynamics of the coupled (2+1)-dimensional Fokas system”, Z. Angew. Math. Phys., 76:1 (2025)
Javier Villarroel, Julia Prada, Pilar G Estévez, “Weakly decaying solutions of nonlinear Schrödinger equation in the plane”, J. Phys. A: Math. Theor., 50:49 (2017), 495203
Javier Villarroel, Julia Prada, Pilar G. Estévez, “Discrete Spectrum of 2 + 1-Dimensional Nonlinear Schrödinger Equation and Dynamics of Lumps”, Advances in Mathematical Physics, 2016 (2016), 1
Javier Villarroel, J. Prada, P. G. Estévez, “Dynamics of Lump Solutions in a 2 + 1 NLS Equation”, Stud Appl Math, 122:4 (2009), 395
Javier Villarroel, Sarbarish Chakravarty, Mark J Ablowitz, “On a Volterra system”, Nonlinearity, 9:5 (1996), 1113
V E Vekslerchik, “The 2D Toda lattice and the Ablowitz-Ladik hierarchy”, Inverse Problems, 11:2 (1995), 463
J Villarroel, M J Ablowitz, “Solutions to the 2+1 Toda equation”, J. Phys. A: Math. Gen., 27:3 (1994), 931
Javier Villarroel, Mark J. Ablowitz, “On the inverse scattering transform of the 2 + 1 Toda equation”, Physica D: Nonlinear Phenomena, 65:1-2 (1993), 48
Javier Villarroel, Mark J. Ablowitz, “On the method of solution to the 2+1 Toda equation”, Physics Letters A, 163:4 (1992), 293
V. D. Lipovskii, A. V. Shirokov, “ $2+1$ Toda chain. II. Hamiltonian formalism”, Theoret. and Math. Phys., 84:1 (1990), 718–728

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

Statistics & downloads:
Abstract page:	303
Full-text PDF :	120
References:	48
First page:	2

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