In this paper, we present an application of some known generalizations of the Exp-function method to the fifth-order Burgers and to the seventh-order Korteweg de Vries equations for the first time. The two examples show that the Exp-function method can be an effective alternative tool for explicitly
✦ LIBER ✦
Application of the exp-function method to nonlinear lattice differential equations for multi-wave and rational solutions
✍ Scribed by İsmail Aslan
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 84 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1476
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✦ Synopsis
In this paper, we extend the basic Exp-function method to nonlinear lattice differential equations for constructing multi-wave and rational solutions for the first time. We consider a differential-difference analogue of the Korteweg-de Vries equation to elucidate the solution procedure. Our approach is direct and unifying in the sense that the bilinear formalism of the equation studied becomes redundant.
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