Dynamics of breather, multi-wave, interaction and other wave solutions to the new (3+1)-dimensional integrable fourth-order equation for shallow water waves

• Published in: International journal of numerical methods for heat & fluid flow Vol. 33; no. 11; pp. 3734 - 3747
• Main Author: Wang, Kang-Jia
• Format: Journal Article
• Language: English
• Published: Bradford Emerald Publishing Limited 31.10.2023; Emerald Group Publishing Limited
• Subjects: Breathers; Computation; Nonlinear equations; Partial differential equations; Shallow water; Shallow water waves; Traveling waves; Water waves; Multiwave solution; Interaction solution; Breather solution; Ansatz function method; Subequation method

Purpose The purpose of this paper is to study the new (3 + 1)-dimensional integrable fourth-order nonlinear equation which is used to model the shallow water waves. Design/methodology/approach By means of the Cole–Hopf transform, the bilinear form of the studied equation is extracted. Then the ansat...