In this paper, with the aid of symbolic computation, we present a uniform method for constructing soliton solutions and periodic solutions to nonlinear differential-difference equations. And we successfully solve the famous mKdV lattice equation.
Uniformly constructing soliton solutions and periodic solutions to Burgers–Fisher equation
✍ Scribed by Guo-cheng Wu
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 273 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
In this paper, we propose a new algorithm to finding all forms of soliton solutions and periodic solutions of nonlinear equations. And we successfully solve Burgers-Fisher equation. The method can also be applied to other nonlinear partial differential equations.
📜 SIMILAR VOLUMES
Consider a Hamiltonian system with Hamiltonian of the form H(x, t, p) where H is convex in p and periodic in x, and t and x ∈ R 1 . It is well-known that its smooth invariant curves correspond to smooth Z 2 -periodic solutions of the PDE ut + H(x, t, u)x = 0 . In this paper, we establish a connecti
In this paper, we are giving analytic approximate solutions to a class of nonlinear PDEs using the homotopy analysis method (HAM). The Burgers, Fisher, Huxley, Burgers-Fisher and Burgers-Huxley equations are considered. We aim two goals: one is to highlight the efficiency of HAM in solving this clas
In this paper we study the existence of periodic solutions of the fourth-order equations u iv -pu -a x u + b x u 3 = 0 and u iv -pu + a x u -b x u 3 = 0, where p is a positive constant, and a x and b x are continuous positive 2Lperiodic functions. The boundary value problems P 1 and P 2 for these eq