Interaction solutions for (1+1)-dimensional higher-order Broer Kaup system

TL;DR

This paper demonstrates that the higher-order Broer-Kaup system in (1+1) dimensions can be solved using the consistent tanh expansion method, providing explicit interaction solutions among various nonlinear wave excitations.

Contribution

It introduces the CTE method to solve the HBK system and derives explicit interaction solutions among solitons, rational waves, and periodic waves.

Findings

HBK system is CTE solvable

Explicit interaction solutions among different nonlinear waves

Demonstrates the effectiveness of CTE in solving complex wave systems

Abstract

The (1+1)-dimensional higher-order Broer-Kaup (HBK) system is studied by consistent tanh expansion (CTE) method in this paper.It is proved that the HBK system is CTE solvable. Some exact interaction solutions among different nonlinear excitations such as solitons, rational waves, periodic waves and corresponding images are explicitly given.