New exact solutions of the double sine-Gordon equation using symbolic computations

DOI10.1016/j.amc.2006.07.139zbMath1117.65133OpenAlexW1979707941MaRDI QIDQ884592

Long Yao, Meng Qing, He Bin, Wei-Guo Rui

Publication date: 6 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.07.139

zbMATH Keywords

exact solutionsymbolic computationtravelling wave solutionsdouble sine-Gordon equationcomplex hyperbolic function

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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Uses Software

• Maple

Cites Work

• Using symbolic computation to exactly solve for the Bogoyavlenskii's generalized breaking soliton equation
• Perturbation theory for the double sine-Gordon equation
• Three-dimensional \(n\)-tuple sine-Gordon and related equations
• A novel singular pattern in the sine-Gordon equation
• Exact solutions of some nonlinear evolution equations using symbolic computations
• Using symbolic computation to exactly solve a new coupled MKdV system
• Symbolic computation and new families of exact soliton-like solutions of Konopelchenko-Dubrov\-sky equations
• The tanh method and a variable separated ODE method for solving double sine-Gordon equation
• Mixing exponential and double sine-Gordon equation
• New interaction solutions of multiply periodic, quasi-periodic and non-periodic waves for the \((n+1)\)-dimensional double sine-Gordon equations
• Nonlinear variants of the improved Boussinesq equation with compact and noncompact struc\-tures
• Bifurcations of travelling wave solutions for a general sine-Gordon equation