Nonlocal Symmetries and Interaction Solutions of the (2+1)-dimensional Higher Order Broer-Kaup System
Xin Xiangpeng
TL;DR
This paper explores the (2+1)-dimensional higher-order Broer-Kaup system using nonlocal symmetry and tanh expansion methods to derive explicit interaction solutions among various nonlinear wave excitations.
Contribution
It introduces novel exact interaction solutions for the HBK system by applying nonlocal symmetry and CTE methods, advancing understanding of complex wave interactions.
Findings
Explicit solutions for soliton, rational, and periodic wave interactions
Demonstration of nonlocal symmetry application to HBK system
Enhanced analytical tools for nonlinear wave analysis
Abstract
The (2+1)-dimensional higher-order Broer-Kaup (HBK) system is studied by nonlocal symmetry method and consistent tanh expansion (CTE) method in this paper. Some exact interaction solutions among different nonlinear excitations such as solitons, rational waves, periodic waves and corresponding images are explicitly given.
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Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Photonic Systems · Quantum chaos and dynamical systems