General superposition of solitons and various ripplons of a two-dimensional nonlinear Schrödinger equation

DOI10.1063/1.525533zbMath0502.35077OpenAlexW2039515773MaRDI QIDQ3967901

Akira Nakamura

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1063/1.525533

zbMATH Keywords

ripplonssuperposition solutions of solitonstwo-dimensional nonlinear Schrödinger equation of Benney-Roskes

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (4)

Solutions of the Davey-Stewartson equation with non-zero boundary condition ⋮ On a structure of the explicit solutions to the Davey-Stewartson equations ⋮ The Generalized Version of Dressing Method with Applications to AKNS Equations ⋮ Correctors for the Homogenization of Monotone Parabolic Operators

Cites Work

• A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
• Two-dimensional lumps in nonlinear dispersive systems
• Similarity Solutions of Some Two-Space-Dimensional Nonlinear Wave Evolution Equations
• Simple multiple explode–decay mode solutions of a two-dimensional nonlinear Schrödinger equation
• On the evolution of packets of long surface waves
• On the soliton solutions of the Davey-Stewartson equation for long waves
• On three-dimensional packets of surface waves
• Wave Instabilities

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