Travelling wave solutions for some time-delayed equations through factorizations
- 1 November 2008
- journal article
- Published by Elsevier BV in Chaos, Solitons, and Fractals
- Vol. 38 (4), 1209-1216
- https://doi.org/10.1016/j.chaos.2007.02.007
Abstract
In this work, we use factorization method to find explicit particular travelling wave solutions for the following important nonlinear second-order partial differential equations: The generalized time-delayed Burgers–Huxley, time-delayed convective Fishers, and the generalized time-delayed Burgers–Fisher. Using the particular solutions for these equations we find the general solutions, two-parameter solution, as special cases.Keywords
This publication has 19 references indexed in Scilit:
- The tanh method: solitons and periodic solutions for the Dodd–Bullough–Mikhailov and the Tzitzeica–Dodd–Bullough equationsChaos, Solitons, and Fractals, 2005
- Simplest equation method to look for exact solutions of nonlinear differential equationsChaos, Solitons, and Fractals, 2005
- On modified Black–Scholes equationChaos, Solitons, and Fractals, 2004
- Exact Analytic Solution of the Simplified Telegraph Model of Propagation and Dissipation of Excitation FrontsInternational Journal of Theoretical Physics, 2004
- Exact solutions of Fisher and Burgers equations with finite transport memoryJournal of Physics A: General Physics, 2003
- RATH: A Maple package for finding travelling solitary wave solutions to nonlinear evolution equationsComputer Physics Communications, 2002
- New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equationsPhysics Letters A, 2001
- Extended tanh-function method and its applications to nonlinear equationsPhysics Letters A, 2000
- An automated tanh-function method for finding solitary wave solutions to non-linear evolution equationsComputer Physics Communications, 1996
- A Mathematical Model Illustrating the Theory of TurbulencePublished by Elsevier BV ,1948