New Miura type transformations between integrable dispersive wave equations
β Scribed by Jiuli Yin; Lixin Tian; Lixia Wang
- Book ID
- 104012516
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 233 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1007-5704
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β¦ Synopsis
In this paper, an algebraic method is devised to construct new Miura type transformations between integrable dispersive wave equations. The characteristic feature of our method lies in that the travelling wave solutions of an aimed equation can be determined by the solutions of a simpler equation directly. Our work is an attempt in searching for travelling solutions of complicate nonlinear equations.
π SIMILAR VOLUMES
It is well known that the general solutions of nonlinear evolution equations are very difficult to find. Searching for special explicit exact solutions, such as solitary wave solutions and periodic wave solutions, of nonlinear evolution equations in mathematical physics plays an important role in so