New multidimensional partially integrable generalization of S-integrable N-wave equation

DOI10.1063/1.2759444zbMath1152.81643arXivnlin/0612048OpenAlexW3101827230MaRDI QIDQ3544406

A. I. Zenchuk

Publication date: 8 December 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0612048

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Linear integral equations (45A05)

Cites Work

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• Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
• Universal C-integrable nonlinear partial differential equation in N+1 dimensions
• A unified dressing method forC- andS-integrable hierarchies; the particular example of a (3 + 1)-dimensionaln-wave equation
• The direct linearization of a class of nonlinear evolution equations
• On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation
• The non-local delta problem and (2+1)-dimensional soliton equations
• C-integrable nonlinear partial differentiation equations. I
• C-integrable nonlinear PDEs. II
• C-Integrable nonlinear partial differential equations in N+1 dimensions
• C-integrable nonlinear partial differential equations. III
• Dressing method based on the homogeneous Fredholm equation: quasilinear PDEs in multidimensions
• Partially integrable systems in multi-dimensions by a variant of the dressing method: part 1

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