The tanh method and the sine–cosine method for solving the KP-MEW equation
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Publication:4653725
DOI10.1080/00207160412331296706zbMath1064.65119OpenAlexW2043597945MaRDI QIDQ4653725
Publication date: 7 March 2005
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160412331296706
periodic solutionssolitonssolitary wave solutionstanh methodsine-cosine methodKadomtsev-Petviashvilli-modified equal width equation
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
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Uses Software
Cites Work
- An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
- Solving frontier problems of physics: the decomposition method
- Compactons and solitary patterns structures for variants of the KdV and the KP equations
- Compactons in a class of nonlinear dispersive equations.
- Exact travelling wave solutions for a generalized Zakharov-Kuznetsov equation.
- Existence and construction of compacton solutions
- Solitary wave interactions for the modified equal width equation
- Compactons dispersive structures for variants of the \(K(n,n)\) and the KP equations
- Patterns on liquid surfaces: Cnoidal waves, compactons and scaling
- A computational approach to soliton solutions of the Kadomtsev-Petviashvili equation
- General solutions with solitary patterns for the defocusing branch of the nonlinear dispersive \(K(n,n)\) equations in higher dimensional spaces
- A study on nonlinear dispersive partial differential equations of compact and noncompact solutions
- A construction of compact and noncompact solutions for nonlinear dispersive equations of even order
- Compact and noncompact structures in a class of nonlinearly dispersive equations
- An analytic study of compactons structures in a class of nonlinear dispersive equations
- The tanh method for traveling wave solutions of nonlinear equations
- The Modified Korteweg-de Vries Equation
- Solitary wave solutions of nonlinear wave equations
- Simulations of the EW undular bore
- The tanh method: II. Perturbation technique for conservative systems
- Compactons: Solitons with finite wavelength
- Solitary wave solutions of nonlinear evolution and wave equations using a direct method and MACSYMA
- A study of nonlinear dispersive equations with solitary-wave solutions having compact support
- Exact special solutions with solitary patterns for the nonlinear dispersive \(K(m,n)\) equations
- New solitary-wave special solutions with compact support for the nonlinear dispersive \(K(m,n)\) equations
