Exact solutions of variable coefficient nonlinear diffusion-reaction equations with a nonlinear convective term

DOI10.1016/J.PHYSLETA.2010.03.039zbMath1237.35096OpenAlexW1998623775MaRDI QIDQ415153

Ranjit Kumar, Ajay K. Mishra

Publication date: 11 May 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2010.03.039

zbMATH Keywords

solitary wave solutionsauxiliary equation methodnonlinear diffusion-reaction equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Soliton solutions (35C08)

Related Items (10)

Symmetries and conservation laws of a time dependent nonlinear reaction-convection-diffusion equation ⋮ Memory effects in Fisher equation with nonlinear convection term ⋮ BLUES function method in computational physics ⋮ New Jacobi elliptic function-like solutions for the general KdV equation with variable coefficients ⋮ Asymptotic periodic solutions of some generalized Burgers equations ⋮ Traveling wavefront solutions to nonlinear reaction-diffusion-convection equations ⋮ Exact and traveling-wave solutions for convection-diffusion-reaction equation with power-law nonlinearity ⋮ The extended Riccati equation mapping method for variable-coefficient diffusion-reaction and mKdV equations ⋮ Conservation laws for a variable coefficient nonlinear diffusion-convection-reaction equation ⋮ Orbital stability and dynamical behaviors of solitary waves for the Camassa-Holm equation with quartic nonlinearity

Uses Software

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Cites Work

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• The modified extended tanh-function method for solving coupled MKdV and coupled Hirota-Satsuma coupled KdV equations
• Application of Exp-function method to a KdV equation with variable coefficients
• Soliton-like solutions of certain types of nonlinear diffusion-reaction equations with variable coefficient
• A generalized \((\frac{G'}{G})\)-expansion method for the mKdV equation with variable coefficients
• Exact Jacobian elliptic function solutions and hyperbolic function solutions for Sawada-Kotere equation with variable coefficient
• New Jacobi elliptic functions solutions for the variable-coefficient mKdV equation
• New soliton-like solutions for KdV equation with variable coefficient
• New exact solutions of the \((2+1)\)-dimensional KdV equation with variable coefficients
• A new generalized expansion method and its application in finding explicit exact solutions for a generalized variable coefficients KdV equation
• Population dynamics near an oasis with time-dependent convection

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