| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 10427255 | Nonlinear Analysis: Theory, Methods & Applications | 2005 | 9 Pages |
Abstract
Based upon the symbolic computation system Maple, the projective Riccati equation method is improved to seek for travelling wave solutions in (1+1) and (2+1)-dimensional nonlinear evolution equations by introducing two new elementary bell-shaped and kink-shaped functions. The validity and reliability of the method is tested by applying it to the (2+1)-dimensional generalized of the shallow water wave equation, potential KdV equation and Burgers-KdV equation.
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Authors
Yan-Ze Chen, Xin-Wei Ding,