Dynamical solitary interactions between lump waves and different forms of n-solitons (n→∞) for the (2+1)-dimensional shallow water wave equation

Partial Differential Equations in Applied Mathematics

Harun-Or-Roshid¹  Fahad Sameer Alshammari²  Md Fazlul Hoque³ 

[1] Corresponding author.;Department of Mathematics, Faculty of Sciences and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia;Department of Mathematics, Pabna University of Science and Technology, Pabna 6600, Bangladesh;

关键词: The (2+1)-dimensional shallow water wave equation;    Lump waves;    n-solitons;    Periodic waves;    Dynamical properties;   

DOI  :  

来源: DOAJ

【 摘 要 】

We construct lump wave solution by using parametric limit approach from an interaction of double soliton solutions to the (2+1)-dimensional shallow water wave equation. We introduce new lemmas, theorems and corollaries with proofs and their dynamical interaction properties between lump waves and different forms of n-soliton solutions (n→∞). Besides, a number of examples of the theories are presented by choosing different types of interactions among lump, solitons and periodic waves. Finally, we display the dynamical collisions of the solutions to reflect the evolutions and flow directions in 3D and contour profiles of the model.

【 授权许可】

Unknown