The (2+1)-dimensional generalized Benjamin-Ono equation: nonlocal symmetry, CTE solvability and interaction solutions

DOI10.1016/j.aml.2024.109060zbMATH Open1547.35608MaRDI QIDQ6549115

Yueying Wu, Yun-Hu Wang

Publication date: 3 June 2024

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

truncated Painlevé expansionnonlocal symmetryconsistent tanh expansion

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) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Solutions to PDEs in closed form (35C05) Soliton solutions (35C08) Symmetries, invariants, etc. in context of PDEs (35B06)

Cites Work

• Consistent Riccati expansion solvability and soliton-cnoidal wave interaction solution of a \((2 + 1)\)-dimensional Korteweg-de Vries equation
• Nonlocal symmetry and soliton-cnoidal wave solutions of the Bogoyavlenskii coupled KdV system
• Use and construction of potential symmetries
• Bäcklund transformation, nonlinear superposition formulae and infinite conserved laws of Benjamin equation
• Nonlocal symmetries and interaction solutions of the Benjamin-Ono equation
• Interactions among different types of nonlinear waves described by the Kadomtsev-Petviashvili equation
• Observation of resonant solitons and associated integrable properties for nonlinear waves
• Bäcklund transformations, nonlocal symmetries and soliton-cnoidal interaction solutions of the \((2+1)\)-dimensional Boussinesq equation
• CTE method to the interaction solutions of Boussinesq-Burgers equations
• The \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation: nonlocal symmetries and interaction solutions
• Lump solution, breather soliton and more soliton solutions for a \((2 + 1)\)-dimensional generalized Benjamin-Ono equation
• Nonlocal symmetries related to Bäcklund transformation and their applications
• Infinitely many Lax pairs and symmetry constraints of the KP equation
• Non-local symmetries via Darboux transformations
• Consistent Riccati Expansion for Integrable Systems
• The residual symmetry, Bäcklund transformations, CRE integrability and interaction solutions: (2+1)-dimensional Chaffee-Infante equation

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