Bäcklund transformation and some different types of N‐soliton solutions to the (3 + 1)‐dimensional generalized nonlinear evolution equation for the shallow‐water waves

• Published in: Mathematical methods in the applied sciences Vol. 44; no. 14; pp. 11307 - 11323
• Main Authors: Han, Peng‐Fei, Bao, Taogetusang
• Format: Journal Article
• Language: English
• Published: Freiburg Wiley Subscription Services, Inc 30.09.2021
• Subjects: (3 + 1)‐dimensional generalized nonlinear evolution equation; Bäcklund transformation; Dynamic models; high‐order lump solutions; Hirota bilinear method; interaction phenomenon of high‐order lump solutions; Nonlinear evolution equations; periodic soliton solutions; Solitary waves; Transformations (mathematics); Water waves

The (3 + 1)‐dimensional generalized nonlinear evolution equation is investigated based on the Hirota bilinear method. N‐soliton solutions, bilinear Bäcklund transformation, high‐order lump solutions, and the interaction phenomenon of high‐order lump solutions for this equation are obtained with the...