Solutions of the sine-Gordon equation in higher dimensions

DOI10.1063/1.524646zbMath0451.35057OpenAlexW1967439533MaRDI QIDQ3897394

Shein-Shion Wang, Rudolf H. Morf, George Leibbrandt

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1063/1.524646

zbMATH Keywords

exact solutionstime evolutionBäcklund transformationthree-wave interactionthree-dimensional sine-Gordon equationtwo-soliton and four-soliton solutions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

The sine-Gordon equations: Complete and partial integrability, Energy-preserving Du Fort-Frankel difference schemes for solving sine-Gordon equation and coupled sine-Gordon equations, Nonlinear dynamics of oriented elastic solids. II: Propagation of solitons, A (2+1)-dimensional sine-Gordon and sinh-Gordon equations with symmetries and kink wave solutions, Numerical study of \(2+1\) dimensional sine-Gordon solitons, Bäcklund generated solutions of Liouville’s equation and their graphical representations in three spatial dimensions

Cites Work

• Prolongation structures of nonlinear evolution equations. II
• Nonlinear Differential Equations Equivalent to Solvable Nonlinear Equations
• Exact, multiple soliton solutions of the double sine Gordon equation
• Solitonlike solutions of the elliptic sine–cosine equation by means of harmonic functions