Nonlocal symmetries and interaction solutions of the Benjamin-Ono equation

DOI10.1016/j.aml.2017.06.012zbMath1377.35010OpenAlexW2729087232MaRDI QIDQ1680771

Hengchun Hu, Yueyue Li

Publication date: 16 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.aml.2017.06.012

zbMATH Keywords

Lie point symmetriesinteraction solutionstruncated Painlevé methodconsistent tanh expansion method

Mathematics Subject Classification ID

Solutions to PDEs in closed form (35C05) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (11)

A variety of multiple-soliton solutions for the integrable (4+1)-dimensional Fokas equation ⋮ Residual symmetries, \(n\)th Bäcklund transformation and interaction solutions for (2+1)-dimensional generalized Broer-Kaup equations ⋮ Nonlocal symmetry and interaction solutions for the new (3+1)-dimensional integrable Boussinesq equation ⋮ Symmetry-preserving difference models of some high-order nonlinear integrable equations ⋮ Nonlocal symmetries, consistent tanh expansion solvability and interaction solutions for a new fifth-order nonlinear integrable equation ⋮ Nonlocal residual symmetries and exact interaction solutions for the generalized dispersive water waves system ⋮ Multiple lump solutions of the \((4+1)\)-dimensional Fokas equation ⋮ Interaction solutions of a \((2+1)\)-dimensional dispersive long wave system ⋮ Analytic solutions for the (2+1)-dimensional generalized sine-Gordon equations in nonlinear optics ⋮ Investigation of interaction solutions for modified Korteweg-de Vries equation by consistent Riccati expansion method ⋮ Consistent Riccati expansion solvability and soliton-cnoidal wave solutions of a coupled KdV system

Cites Work

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• A KAM theorem for Hamiltonian partial differential equations with unbounded perturbations
• New periodic solitary-wave solutions for the Benjiamin Ono equation
• Interactions among different types of nonlinear waves described by the Kadomtsev-Petviashvili equation
• The JEFE method and periodic solutions of two kinds of nonlinear wave equations
• CTE method to the interaction solutions of Boussinesq-Burgers equations
• Algebraic Solitary Waves in Stratified Fluids
• Nonlocal symmetries of the KdV equation
• Non-local symmetries via Darboux transformations
• Nonlocalization of Nonlocal Symmetry and Symmetry Reductions of the Burgers Equation
• Consistent Riccati Expansion for Integrable Systems
• Internal waves of permanent form in fluids of great depth

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