Multiple-soliton solutions and multiple-singular soliton solutions for two higher-dimensional shallow water wave equations

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摘要

Two (3 + 1)-dimensional shallow water wave equations are studied for complete integrability. The Hirota’s bilinear method is used to determine the multiple-soliton solutions for these equations. Moreover, multiple-singular soliton solutions will also be determined for each model. The analysis highlights the capability of the direct method in handling completely integrable equations.

论文关键词:Hirota bilinear method,Complete integrability,Multiple-soliton solutions,Multiple-singular soliton solutions

论文评审过程:Available online 3 February 2009.

论文官网地址:https://doi.org/10.1016/j.amc.2009.01.071