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

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.