Exact solutions of nonlinear generalizations of the wave equation

DOI10.1016/0022-247X(80)90020-7zbMath0427.35045OpenAlexW1979557971MaRDI QIDQ1136944

Philip B. Burt

Publication date: 1980

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(80)90020-7

zbMATH Keywords

solitary wavessolitonscollapsonsintrinsically nonlinear solutionsnon dispersive solitonsnon perturbative solutionsnonlinear generalizations of the wave equationself interacting quantum fields

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Quantum field theory; related classical field theories (81T99) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

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• Exact solution to a nonlinear Klein-Gordon equation
• Exact solutions of nonlinear generalizations of the Klein-Gordon and Schrödinger equations
• Exact, multiple soliton solutions of the double sine Gordon equation
• Comments on some recent multisoliton solutions

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