Exact Solution on then-Dimensional Sine-Gordon Equation

DOI10.1143/JPSJ.41.1091zbMath1334.35284MaRDI QIDQ2801164

Kenji K. Kobayashi, Masaaki Izutsu

Publication date: 19 April 2016

Published in: Journal of the Physical Society of Japan (Search for Journal in Brave)

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Related Items (13)

The solution of the two-dimensional sine-Gordon equation using the method of lines ⋮ Exact travelling wave solutions for the \((n + 1)\)-dimensional double sine- and sinh-Gordon equations ⋮ Two-dimensional amplitude evolution equations for nonlinear dispersive waves on thin films ⋮ A modified predictor-corrector scheme for the two-dimensional sine-Gordon equation ⋮ A numerical meshless method of soliton-like structures model via an optimal sampling density based kernel interpolation ⋮ Bifurcations and exact traveling wave solutions of the \((n+1)\)-dimensional \(q\)-deformed double sinh-Gordon equations ⋮ A search for bilinear equations passing Hirota’s three-soliton condition. III. Sine–Gordon-type bilinear equations ⋮ Bounded travelling wave solutions for the (\(n+1\))-dimensional sine- and sinh-Gordon equations ⋮ Bifurcations of travelling wave solutions in the \((N + 1)\)-dimensional sine-cosine-Gordon equations ⋮ Numerical study of \(2+1\) dimensional sine-Gordon solitons ⋮ A modified explicit numerical scheme for the two-dimensional sine-Gordon equation ⋮ A note on an extra constraint found in some multidimensional extensions of integrable equations ⋮ Numerical meshless solution of high-dimensional sine-Gordon equations via Fourier HDMR-HC approximation

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