Elastic and resonant interactions of a lump wave and solitary waves for the (2+1)-dimensional Ito equation

• Published in: Results in physics Vol. 58; p. 107454
• Main Authors: Wang, Meng-Yao, Chen, Ai-Hua, Zhang, Lun-Jie
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01-03-2024; Elsevier
• Subjects: Elastic interactions; Hirota bilinear method; Long wave limit method; Lump wave; Resonant interactions; Solitary wave; Solitary wave; Resonant interactions; Long wave limit method; Elastic interactions; Hirota bilinear method; Lump wave
• ISSN: 2211-3797; 2211-3797
• DOI: 10.1016/j.rinp.2024.107454

In this paper, by using of a transformation with a parameter, together with the Hirota bilinear method, we obtain the 3-solitary wave and 4-solitary wave solutions of the (2+1)-dimensional Ito equation. The parameter plays an important role in the long wave limit method. The elastic interactions are analyzed from the point of asymptotical analysis. Resorting to the phase shifts of the lump wave and taking different values of the parameters, we obtain the resonant interactional solutions which are analyzed graphically.
•The elastic and resonant interactional solutions for the (2+1)-dimensional Ito equation are obtained.•The existence conditions of elastic and resonant solutions are provided.•The asymptotic behaviors of the solutions are analyzed.