| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4630996 | Applied Mathematics and Computation | 2011 | 6 Pages |
Abstract
In this paper, we show the applicability of the first integral method, which is based on the ring theory of commutative algebra, to the regularized long-wave Burgers equation and the Gilson–Pickering equation under a parameter condition. Our method provides polynomial first integrals for autonomous planar systems. Through the established first integrals, exact traveling wave solutions are derived in a concise manner.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
İsmail Aslan,