Integration of nonlinear system of four waves with two velocities in (2 + 1) dimensions by the inverse scattering transform method

DOI10.1063/1.3560476zbMath1315.35204OpenAlexW2062381866MaRDI QIDQ5260962

Mansur I. Ismailov

Publication date: 30 June 2015

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

Full work available at URL: https://doi.org/10.1063/1.3560476

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Systems of nonlinear first-order PDEs (35F50)

Related Items (1)

Inverse scattering transform in two spatial dimensions for the \(N\)-wave interaction problem with a dispersive term

Cites Work

• Inverse nonstationary scattering for the linear system of the 3-wave interaction problem in the case of two incident waves with the same velocity
• Integration of the nonlinear two-dimensional spatial Schrödinger equation by the inverse-problem method
• The inverse scattering problems for the hyperbolic equations and their application to nonlinear integrable systems
• Inverse scattering problem for nonstationary Dirac-type systems on the plane
• On the inverse scattering transform of multidimensional nonlinear equations related to first-order systems in the plane
• On the solvability of the N-wave, Davey-Stewartson and Kadomtsev-Petviashvili equations
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