Exact Interaction Solutions of an Extended (2+1)-Dimensional Shallow Water Wave Equation

DOI10.1088/0253-6102/68/2/165zbMath1375.35466OpenAlexW2742390877MaRDI QIDQ4595766

Hui Wang, Temuer Chaolu, Hong-Sheng Zhang, Yun-Hu Wang

Publication date: 6 December 2017

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/68/2/165

zbMATH Keywords

nonlocal symmetryconsistent Riccati expansionsoliton-cnoidal wave solutions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlocal symmetry and soliton-cnoidal wave solutions of the Bogoyavlenskii coupled KdV system
• Bäcklund transformations and their applications
• Constructing families of soliton-like solutions to a \((2+1)\)-dimensional breaking soliton equation using symbolic computation
• Rational solutions and lump solutions to the generalized \((3+1)\)-dimensional shallow water-like equation
• A kind of new algebraic Rossby solitary waves generated by periodic external source
• CTE method to the interaction solutions of Boussinesq-Burgers equations
• Extended tanh-function method and its applications to nonlinear equations
• Nonlocal symmetries related to Bäcklund transformation and their applications
• Rational and Periodic Solutions for a (2+1)-Dimensional Breaking Soliton Equation Associated with ZS-AKNS Hierarchy
• The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
• The Painlevé property for partial differential equations
• Interaction Solutions for (1+1)-Dimensional Higher-Order Broer—Kaup System
• Construction of Soliton-Cnoidal Wave Interaction Solution for the (2+1)-Dimensional Breaking Soliton Equation*
• CTE Solvability, Exact Solutions and Nonlocal Symmetries of the Sharma–Tasso–Olver Equation
• Multi Dromion-Solitoff and Fractal Excitations for (2+1)-Dimensional Boiti–Leon–Manna–Pempinelli System
• Symmetries and differential equations

This page was built for publication: Exact Interaction Solutions of an Extended (2+1)-Dimensional Shallow Water Wave Equation