Abstract
In this paper, an interesting fact is found that the auxiliary equation method is also applicable to a coupled system of two different equations involving both even-order and odd-order partial derivative terms. Furthermore, singular travelling wave solutions can also be obtained by considering other types of exact solutions of auxiliary equation. The Whitham-Broer-Kaup and the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equations are chosen as examples to illustrate the effectiveness of the auxiliary equation method.
| Original language | English |
|---|---|
| Pages (from-to) | 549-556 |
| Number of pages | 8 |
| Journal | Chaos, Solitons and Fractals |
| Volume | 24 |
| Issue number | 2 |
| DOIs | |
| State | Published - Apr 2005 |