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Sech-polynomial travelling solitary-wave solutions of odd-order generalized KdV equations
- Source :
- Physics Letters A. 248:219-224
- Publication Year :
- 1998
- Publisher :
- Elsevier BV, 1998.
-
Abstract
- A (2 m + 1)th-order generalized KdV equation is considered, where m is a positive integer. Four new explicit travelling solitary-wave solutions are obtained for the case m = 4. The case of arbitrary m ≥ 3 is considered; it is shown that, subject to certain restrictions on the coefficients in the equation, there are always at least two sech-polynomial type solutions.
Details
- ISSN :
- 03759601
- Volume :
- 248
- Database :
- OpenAIRE
- Journal :
- Physics Letters A
- Accession number :
- edsair.doi...........fc60cc92a7aa0ceaaf462e549868c9d4