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Theoretical and Mathematical Physics
Article . 1991 . Peer-reviewed
License: Springer TDM
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Article
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Article . 1991
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https://dx.doi.org/10.48550/ar...
Article . 2002
License: arXiv Non-Exclusive Distribution
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Integrable initial-boundary-value problems

Integrable initial boundary value problems
Authors: Khabibullin, I. T.;

Integrable initial-boundary-value problems

Abstract

The problem of searching boundary value problems for soliton equations consistent with the integrability property is discussed. A method of describing integrals of motion for the integrable initial boundary value problems for the Kadomtsev-Petviashvili equation is suggested via Green identity.

Latex file, The talk on the International Conference: Nonlinear Physics: Theory and Experiment, II Gallipoli, Lecce, (Italy) June 27-July 6, 2002

Keywords

Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems, Nonlinear Sciences - Exactly Solvable and Integrable Systems, NLS equations (nonlinear Schrödinger equations), sine- Gordon equation, FOS: Physical sciences, Scattering theory, inverse scattering involving ordinary differential operators, inverse scattering method, KdV equations (Korteweg-de Vries equations), Boundary initial value problems, Korteweg-de Vries equation, Scattering theory for PDEs, Exactly Solvable and Integrable Systems (nlin.SI), nonlinear Schrödinger equation, solvability

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
34
Top 10%
Top 10%
Average
Green