Nonlocal symmetry constraints and exact interaction solutions of the (2+1) dimensional modified generalized long dispersive wave equation

DOI10.1080/14029251.2014.936764zbMath1420.35311OpenAlexW2023853461MaRDI QIDQ5230959

Yong Chen, Junchao Chen

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14029251.2014.936764

zbMATH Keywords

localizationnonlocal symmetryexact interaction solutions\((2+1)\) dimensional modified generalized long dispersive equationnonlocal symmetry constraint

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) Solitary waves for incompressible inviscid fluids (76B25) Invariance and symmetry properties for PDEs on manifolds (58J70) Applications of Lie algebras and superalgebras to integrable systems (17B80)

Related Items (11)

Nonlocal symmetries, exact solutions and conservation laws of the coupled Hirota equations ⋮ Bäcklund transformation and soliton-cnoidal wave interaction solution for the coupled Klein-Gordon equations ⋮ Residual symmetries and interaction solutions for the Whitham-Broer-Kaup equation ⋮ Nonlocal symmetries, consistent Riccati expansion solvability and interaction solutions of the generalized Ito equation ⋮ Semi-rational solutions for the \((2 + 1)\)-dimensional nonlocal Fokas system ⋮ Nonlocal symmetry, Darboux transformation and soliton-cnoidal wave interaction solution for the shallow water wave equation ⋮ Residual symmetry reduction and consistent Riccati expansion to a nonlinear evolution equation ⋮ General Higher-Order Breather and Hybrid Solutions of the Fokas System ⋮ Lie symmetries and nonlocally related systems of the continuous and discrete dispersive long waves system by geometric approach ⋮ Nonlocal symmetries, conservation laws and interaction solutions for the classical Boussinesq-Burgers equation ⋮ CTE method to the interaction solutions of Boussinesq-Burgers equations

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