4.7 Article

New solutions of distinct physical structures to high-dimensional nonlinear evolution equations

期刊

APPLIED MATHEMATICS AND COMPUTATION
卷 196, 期 1, 页码 363-370

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ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2007.06.002

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Jimbo-Miwa equation; Calogero-Bogoyavlenskii-Schiff equation; potential YTSF equation; the tanh-coth method

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In this work, we employ the tanh-coth method for a reliable treatment on nonlinear evolution equations. Three models, namely the (3 + 1)-dimensional Jimbo-Miwa equation, the (2 + 1)-dimensional Calogero-Bogoyavlenskii-Schiff equation, and the (3 + 1)-dimensional potential YTSF equation, are use as vehicles to conduct the analysis. New travelling wave solutions are formally derived. The work shows the power of the proposed scheme and the variety of the obtained solutions. (c) 2007 Elsevier Inc. All rights reserved.

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