A direct series method to find exact travelling wave solutions of nonlinear PDEs is appfied to Hirota's system of coupled Korteweg-de Vries equations and to the sine-Gordon equation. The straightforward but lengthy algebraic computations to obtain single and multi-soliton solutions can be carried ou
β¦ LIBER β¦
Solitary wave solutions of selective nonlinear diffusion-reaction equations using homogeneous balance method
β Scribed by Ranjit Kumar; R. S. Kaushal; Awadhesh Prasad
- Book ID
- 107588818
- Publisher
- Springer-Verlag
- Year
- 2010
- Tongue
- English
- Weight
- 137 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0304-4289
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In this paper, we use the modified Kudryashov method or the rational Exp-function method to construct the solitary traveling wave solutions of the Kuramoto-Sivashinsky (shortly KS) and seventh-order Sawada-Kotera (shortly sSK) equations. These equations play a very important role in the mathematical