A class of homogeneous nonlinear evolution equations with stable, localized solutions in any dimension

DOI10.1063/1.532144zbMath0884.35143OpenAlexW1989601082MaRDI QIDQ4370761

Guy Auberson

Publication date: 18 February 1998

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

Full work available at URL: https://doi.org/10.1063/1.532144

zbMATH Keywords

generalized nonlinear Schrödinger equationsoliton solutionsGalileian invariancefinite-energy particle-like solutionrelativistic particle-like soliton

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)

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Cites Work

• Exact solutions of the general Doebner-Goldin equation
• The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
• On a class of homogeneous nonlinear Schrödinger equations

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