Solutions of the sine-Gordon equation with a variable amplitude

DOI10.1007/s11232-015-0309-8zbMath1326.35307OpenAlexW1449832886MaRDI QIDQ746990

D. Kharzeev

Publication date: 22 October 2015

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

Full work available at URL: https://doi.org/10.1007/s11232-015-0309-8

zbMATH Keywords

wave equationsine-Gordon equationeikonal equationansatzfunctionally invariant solution

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (5)

WAVE EQUATION WITH CUBIC NONLINEARITY AND EXCITATION OF OSCILLATIONS IN THE “MEDIUM–SOURCE” SYSTEM ⋮ The problem solution on the propagation of a Griffith crack based on the equations of a nonlinear model ⋮ Functionally invariant solutions of nonlinear Klein-Fock-Gordon equation ⋮ Nonlinear model of deformation of crystalline media allowing for martensitic transformations: plane deformation ⋮ DYNAMICS OF UNSTABLE SOLUTIONS FOR THE WAVE EQUATION WITH SOURCES

Cites Work

• New approach to the solution of the classical sine-Gordon equation and its generalizations
• Functionally invariant solutions of nonlinear Klein-Fock-Gordon equation
• Solutions of the three-dimensional sine-Gordon equation
• Essentially nonlinear one-dimensional model of classical field theory
• Viscous flow in smectic A liquid crystals
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