Application of inverse scattering method to singular solutions of nonlinear equations. I

DOI10.1007/BF01016674zbMath0549.35106OpenAlexW4252276927MaRDI QIDQ800577

M. K. Polivanov, A. K. Pogrebkov, V. A. Arkad'ev

Publication date: 1983

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01016674

zbMATH Keywords

singularitiesCauchy problemnonlinear Schrödinger equationJost solutionsinverse scattering method

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Singular solutions of the KdV equation and the inverse scattering method, Asymptotic behavior of singular solitons and the inverse scattering method for solving boundary value problems, Boundary-value problem for the nonlinear Schrödinger equation, Reduction of Hugoniot-Maslov chains for trajectories of solitary vortices of the ``shallow water equations on the Hill equation, Positon solutions of the sine-Gordon equation

Cites Work

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• Nonlinear equations for fields radiated by particles
• Singular solitons: An example of a sinh-Gordon equation
• Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem