Degeneration of N-soliton solutions for a (3+1)-dimensional nonlinear model in shallow water waves

• Published in: Nonlinear dynamics Vol. 111; no. 2; pp. 1667 - 1683
• Main Authors: Li, Longxing, Dai, Zhengde, Cheng, Bitao
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.01.2023; Springer Nature B.V
• Subjects: Automotive Engineering; Breathers; Classical Mechanics; Control; Degeneration; Dynamical Systems; Engineering; Mathematical models; Mathematics; Mechanical Engineering; Original Paper; Shallow water; Solitary waves; Vibration; Water waves; Resonance; Hirota–Satsuma–Ito equation; High-order lumps; Interaction solutions; High-order breathers; type solitons

With the support of bilinear method, specific N -soliton solutions of a ( 3 + 1 )-dimensional nonlinear model are proposed, and various solutions are constructed through the different degeneration processes of N -soliton solutions. On the basis of defining a novel constraint condition on N -soliton...