Abstract
In this paper, a new auxiliary equation method is used to find exact travelling wave solutions to the (1+1)-dimensional KdV equation. Some exact travelling wave solutions with parameters have been obtained, which cover the existing solutions. Compared to other methods, the presented method is more direct, more concise, more effective, and easier for calculations. In addition, it can be used to solve other nonlinear evolution equations in mathematical physics.
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Communicated by Xing-ming GUO
Project supported by the National Natural Science Foundation of China (No. 10461005), the Ph. D. Programs Foundation of Ministry of Education of China (No. 20070128001), and the High Education Science Research Program of Inner Mongolia (No. NJZY08057)
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Pang, J., Bian, Cq. & Chao, L. A new auxiliary equation method for finding travelling wave solutions to KdV equation. Appl. Math. Mech.-Engl. Ed. 31, 929–936 (2010). https://doi.org/10.1007/s10483-010-1327-z
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DOI: https://doi.org/10.1007/s10483-010-1327-z