Multiple-soliton solutions and multiple-singular soliton solutions for two higher-dimensional shallow water wave equations |
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| Authors: | Abdul-Majid Wazwaz |
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| Affiliation: | Department of Mathematics, Saint Xavier University, Chicago, IL 60655, United States |
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| Abstract: | 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. |
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| Keywords: | Hirota bilinear method Complete integrability Multiple-soliton solutions Multiple-singular soliton solutions |
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