Resonance Y-shaped soliton and interaction solutions in the (2 + 1)-dimensional B-type Kadomtsev–Petviashvili equation-Reference-Cited by-同舟云学术

Resonance Y-shaped soliton and interaction solutions in the (2 + 1)-dimensional B-type Kadomtsev–Petviashvili equation

Published:2021-08-11 Issue:21 Volume:35 Page:2150222
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

Wang Miaomiao¹,Qi Zequn¹,Chen Junchao²,Li Biao¹^ORCID

Affiliation:

1. School of Mathematics and Statistics, Ningbo University, Ningbo 315211, P. R. China

2. Department of Mathematics, Lishui University, Lishui 323000, P. R. China

Abstract

The ([Formula: see text])-dimensional B-type Kadomtsev–Petviashvili (BKP) equation is utilized to depict weakly dispersive waves propagating in the fluid mechanics. According to [Formula: see text]-soliton solutions, resonance Y-shaped soliton and its interaction with other local wave solutions of the ([Formula: see text])-dimensional BKP equation are derived by introducing the constraint conditions. These types of hybrid soliton solutions exhibit the complex interaction phenomenon among resonance Y-shaped solitons, breather waves, line solitary waves and high-order lump waves. The dynamic behaviors of such interaction solutions are analyzed and illustrated.

Funder

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979221502222

Reference23 articles.

1. Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons

2. Painlevé integrability, similarity reductions, new soliton and soliton-like similarity solutions for the (2+1)-dimensional BKP equation

3. The Exact N-Soliton Solution of the Korteweg-de Vries Equation