Uniformly constructing soliton solutions and periodic solutions to Burgers-Fisher equation
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Publication:979756
DOI10.1016/j.camwa.2009.03.023zbMath1189.35297OpenAlexW2079902400MaRDI QIDQ979756
Publication date: 28 June 2010
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2009.03.023
Periodic solutions to ordinary differential equations (34C25) KdV equations (Korteweg-de Vries equations) (35Q53) Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical methods for ordinary differential equations (65L99) Soliton solutions (35C08)
Related Items (8)
An accurate and novel numerical simulation with convergence analysis for nonlinear partial differential equations of Burgers-Fisher type arising in applied sciences ⋮ Sufficient conditions for the preservation of the boundedness in a numerical method for a physical model with transport memory and nonlinear damping ⋮ The numerical solution of a generalized Burgers-Huxley equation through a conditionally bounded and symmetry-preserving method ⋮ A modified exponential method that preserves structural properties of the solutions of the Burgers–Huxley equation ⋮ A BOUNDED FINITE-DIFFERENCE DISCRETIZATION OF A TWO-DIMENSIONAL DIFFUSION EQUATION WITH LOGISTIC NONLINEAR REACTION ⋮ Spline solution of the generalized Burgers'-Fisher equation ⋮ Existence and uniqueness of monotone and bounded solutions for a finite-difference discretization à la Mickens of the generalized Burgers–Huxley equation ⋮ A Mickens‐type discretization of a diffusive model with nonpolynomial advection/convection and reaction terms
Cites Work
- A new method for constructing soliton solutions and periodic solutions of nonlinear evolution equations
- A variant of Newton's method for the computation of traveling waves of bistable differential-difference equations
- Exp-function method for nonlinear wave equations
- Periodic wave solutions to a coupled KdV equations with variable coefficients
- Soliton solutions and Bäcklund transformation for the Kupershmidt five-field lattice: A bilinear approach
- The tanh method for travelling wave solutions to the Zhiber-Shabat equation and other related equations
- Analytic study on Burgers, Fisher, Huxley equations and combined forms of these equations
- On the Solution of a Class of Nonlinear Partial Difference Equations
- Conditions for the existence of higher symmetries of evolutionary equations on the lattice
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