Solutions of the generalized nonlinear Schrödinger equation in two spatial dimensions

DOI10.1063/1.523942zbMath0425.35087OpenAlexW1826824554MaRDI QIDQ3860264

Henri Cornille

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1063/1.523942

zbMATH Keywords

generalized nonlinear Schrödinger equationinversionlike integral equationtwo-dimensional coordinate space

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Partial differential equations of mathematical physics and other areas of application (35Q99) Integral equations with miscellaneous special kernels (45H05)

Related Items

Long-time decay of the solutions of the Davey-Stewartson II equations, Reducing a generalized Davey-Stewartson system to a non-local nonlinear Schrödinger equation, Local existence in time of solutions to the elliptic-hyperbolic Davey-Stewartson system without smallness condition on the data, Energy exchange of interacting coherent structures in multidimensions, Multi-solitons for a generalized Davey-Stewartson system, Dromions and a boundary value problem for the Davey-Stewartson 1 equation, Inverse scattering transform in two spatial dimensions for the \(N\)-wave interaction problem with a dispersive term, Unnamed Item, The inverse scattering problems for the hyperbolic equations and their application to nonlinear integrable systems, Solution of the initial value problem for the focusing Davey-Stewartson II system, Small solitons and multisolitons in the generalized Davey-Stewartson system, Integration of the nonlinear two-dimensional spatial Schrödinger equation by the inverse-problem method, On the Davey-Stewartson systems

Cites Work

• Generalization of the inversionlike integral equations and application to nonlinear partial differential equations. II
• Prolongation structures of nonlinear evolution equations
• Prolongation structures and nonlinear evolution equations in two spatial dimensions. II. A generalized nonlinear Schrödinger equation
• An inversionlike integral equation in the multidimensional case