Nonlocal Symmetries and Interaction Solutions of the (2+1)-dimensional Higher Order Broer-Kaup System

2016/03/17 by Xin Xiangpeng, Xiangpeng, Xin
Mathematics · Physics and Astronomy · #Applied mathematics #Economics #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Geometry #Homogeneous space #Mathematical economics #Mathematical physics #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Order (exchange) #Physics #Quantum chaos and dynamical systems #nlin.SI

paper · pdf · doi:10.48550/arxiv.1603.05441

published in arXiv (Cornell University) (Cornell University)

arxiv created 2016/03/17 · openalex publication_date 2016/03/17 · arxiv updated 2016/03/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• Method for Solving the Korteweg-deVries Equation

Related

• Non-local symmetries of the Hirota-Satsuma coupled KdV system and their applications
• High order nonlocal symmetries and exact solutions of variable coefficient KdV equation
• Solutions of Nonlocal Equations Reduced from the AKNS Hierarchy
• Solutions of local and nonlocal equations reduced from the AKNS hierarchy
• Interactions among different types of nonlinear waves described by the Kadomtsev-Petviashvili Equation