A rational generalization of Fan's method and its application to generalized shallow water wave equations
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 1984-1995 |
| Journal / Publication | Applied Mathematics and Computation |
| Volume | 216 |
| Issue number | 7 |
| Publication status | Published - 1 Jun 2010 |
Link(s)
Abstract
In this paper we employ a rational expansion to generalize Fan's method for exact travelling wave solutions for nonlinear partial differential equations (PDEs). To verify the reliability of the proposed method, the generalized shallow water wave (GSWW) equation has been investigated as an example. Kinds of new exact travelling wave solutions of a rational form have been obtained. This indicates that the proposed method provides a more general result for exact solution of nonlinear equations. Crown Copyright © 2010.
Research Area(s)
- Fan's method, Rational expansion, The GSWW equation, Travelling wave solution
Citation Format(s)
A rational generalization of Fan's method and its application to generalized shallow water wave equations. / Yang, Zonghang; Hon, Y. C.
In: Applied Mathematics and Computation, Vol. 216, No. 7, 01.06.2010, p. 1984-1995.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
