Double elliptic equation method and new exact solutions of the (n+1)-dimensional sinh-Gordon equation
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Publication:3442179
DOI10.1063/1.2424550zbMath1121.35084OpenAlexW2077634632MaRDI QIDQ3442179
Publication date: 16 May 2007
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.2424550
Second-order nonlinear hyperbolic equations (35L70) Solutions to PDEs in closed form (35C05) Software, source code, etc. for problems pertaining to partial differential equations (35-04)
Related Items (2)
A improved F-expansion method and its application to the Zhiber-Shabat equation ⋮ New exact double periodic wave and complex wave solutions for a generalized sinh-Gordon equation
Uses Software
Cites Work
- New exact solutions for the sinh-Gordon equation
- Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics
- Improved Jacobian elliptic function method and its applications.
- A sinh-Gordon equation expansion method to construct doubly periodic solutions for nonlinear differential equations.
- New double periodic and multiple soliton solutions of the generalized \((2 + 1)\)-dimensional Boussinesq equation
- A simple transformation for nonlinear waves.
- Elliptic equation rational expansion method and new exact travelling solutions for Whitham-Broer-Kaup equations
- Bounded travelling wave solutions for the (\(n+1\))-dimensional sine- and sinh-Gordon equations
- The tanh method: exact solutions of the sine-Gordon and the sinh-Gordon equations
- The Painlevé property for partial differential equations
- New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations
- Application of Hirota's bilinear formalism to the Toeplitz lattice - some special soliton-like solutions
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