The extended tanh method and the exp-function method to solve a kind of nonlinear heat equation

DOI10.1155/2010/935873zbMath1205.65279OpenAlexW2005644191WikidataQ58653430 ScholiaQ58653430MaRDI QIDQ613861

Wei-Min Zhang

Publication date: 23 December 2010

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/230596

zbMATH Keywords

nonlinear heat equationexp-function methodtanh method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (9)

New exact solutions for the time fractional Broadwell system ⋮ New exact solutions for the two-dimensional Broadwell system ⋮ Generalized Lucas tau method for the numerical treatment of the one and two-dimensional partial differential heat equation ⋮ New traveling wave solutions of the higher dimensional nonlinear partial differential equation by the Exp-function method ⋮ Unnamed Item ⋮ Some new traveling wave solutions of the nonlinear reaction diffusion equation by using the improved \((G'/G)\)-expansion method ⋮ Unnamed Item ⋮ Geometric perspectives of the two-mode upgrade of a generalized Fisher-Burgers equation that governs the propagation of two simultaneously moving waves ⋮ Investigation of soliton solutions with different wave structures to the (2 + 1)-dimensional Heisenberg ferromagnetic spin chain equation

Cites Work

• Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method
• Application of Exp-function method to a KdV equation with variable coefficients
• Exp-function method for nonlinear wave equations
• Exp-function method and its application to nonlinear equations
• Adomian decomposition method for a nonlinear heat equation with temperature dependent thermal properties
• The no-ghost theorem for \(\text{AdS}_ 3\) and the stringy exclusion principle.
• On an improved complex tanh-function method
• New exact solutions for \((3+1)\)-dimensional Kadomtsev- Petviashvili equation and generalized (2+1)-dimensional Boussinesq equation
• New periodic solutions for nonlinear evolution equations using Exp-function method
• The tanh method: exact solutions of the sine-Gordon and the sinh-Gordon equations
• Solitary wave solutions of nonlinear wave equations

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