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The tanh method: exact solutions of the sine-Gordon and the sinh-Gordon equations - MaRDI portal

The tanh method: exact solutions of the sine-Gordon and the sinh-Gordon equations (Q2570785)

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English	The tanh method: exact solutions of the sine-Gordon and the sinh-Gordon equations	scientific article

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scholarly article

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The tanh method: exact solutions of the sine-Gordon and the sinh-Gordon equations (English)

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Abdul-Majid Wazwaz

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Applied Mathematics and Computation

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publication date

28 October 2005

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zbMATH Keywords

sine-Gordon equation

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tanh method

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traveling wave solutions

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sinh-Gordon equations

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.amc.2004.08.005

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A model unified field equation

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On the numerical solution of the sine-Gordon equation. I: Integrable discretizations and homoclinic manifolds

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Solitary wave solutions of nonlinear wave equations

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The tanh method: I. Exact solutions of nonlinear evolution and wave equations

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The tanh method: II. Perturbation technique for conservative systems

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The tanh method, a simple transformation and exact analytical solutions for nonlinear reaction-diffusion equations

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An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations

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Nonlinear preconditioning for diffuse interfaces

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Link between solitary waves and projective Riccati equations

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Exact solutions for two nonlinear equations. I

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Exact solutions for a compound KdV-Burgers equation

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Discrete singular convolution for the sine-Gordon equation

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Compactons dispersive structures for variants of the \(K(n,n)\) and the KP equations

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New solitary-wave special solutions with compact support for the nonlinear dispersive \(K(m,n)\) equations

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Exact special solutions with solitary patterns for the nonlinear dispersive \(K(m,n)\) equations

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General compactons solutions for the focusing branch of the nonlinear dispersive \(K(n,n)\) equations in higher-dimensional spaces

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General solutions with solitary patterns for the defocusing branch of the nonlinear dispersive \(K(n,n)\) equations in higher dimensional spaces

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A study of nonlinear dispersive equations with solitary-wave solutions having compact support

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Compactons and solitary patterns structures for variants of the KdV and the KP equations

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Construction of soliton solutions and periodic solutions of the Boussinesq equation by the modified decomposition method

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A computational approach to soliton solutions of the Kadomtsev-Petviashvili equation

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The tanh method for traveling wave solutions of nonlinear equations

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.AMC.2004.08.005

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DBLP publication ID

journals/amc/Wazwaz05j

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Sitelinks

Mathematics(1 entry)

mardi Publication:2570785

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