Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 217, Issue 20, Pages 8134-8139Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2011.02.098
Keywords
First integral method; Regularized long-wave Burgers equation; Gilson-Pickering equation; Traveling wave solutions
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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. (c) 2011 Elsevier Inc. All rights reserved.
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