Exact traveling wave solutions and dynamical behavior for the \((n+1)\)-dimensional multiple sine-Gordon equation
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Publication:2372513
DOI10.1007/s11425-007-2078-9zbMath1214.35005OpenAlexW1924418799MaRDI QIDQ2372513
Publication date: 30 July 2007
Published in: Science in China. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-007-2078-9
Periodic solutions to PDEs (35B10) Second-order nonlinear hyperbolic equations (35L70) Soliton equations (35Q51) Bifurcations in context of PDEs (35B32)
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Equivalent transformations, bifurcations and exact solutions to a class of variable-coefficient PDE ⋮ Trigonometric function periodic wave solutions and their limit forms for the KdV-like and the PC-like equations ⋮ Energy-preserving Du Fort-Frankel difference schemes for solving sine-Gordon equation and coupled sine-Gordon equations ⋮ Symmetry reductions, dynamical behavior and exact explicit solutions to the Gordon types of equations ⋮ Lie symmetry analysis and exact solutions for the extended mKdV equation ⋮ Bifurcations and exact traveling wave solutions for a class of nonlinear fourth-order partial differential equations
Cites Work
- Traveling wave solutions for a class of nonlinear dispersive equations
- The tanh method and a variable separated ODE method for solving double sine-Gordon equation
- Bounded travelling wave solutions for the (\(n+1\))-dimensional sine- and sinh-Gordon equations
- Smooth and non-smooth traveling waves in a nonlinearly dispersive equation
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