This paper presents a direct method for the construction of travelling wave solutions to a higher order KdV equation. The method is based on a generaI form of solution to both the KdV equation and the fifth order KdV equation (FKdV). In this approach a number of unknown constants are involved, and
Travelling wave solutions of a fourth-order semilinear diffusion equation
β Scribed by M.E. Akveld; J. Hulshof
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 360 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0893-9659
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β¦ Synopsis
We establish existence of travelling waves for a fourth-order semilinear diffusion equation and examine the dependence of the wave speed on the parameter. Keywords--Singular perturbation, Travelling waves, Rate of change of wave speed.
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