Non-auto Bäcklund transformation, nonlocal symmetry and CRE solvability for the Bogoyavlenskii-Kadomtsev-Petviashvili equation

DOI10.1016/j.camwa.2017.08.012zbMath1398.35209OpenAlexW2752913488MaRDI QIDQ1672698

Hui Fang, Chuanjian Wang

Publication date: 11 September 2018

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.08.012

zbMATH Keywords

nonlocal symmetryBKP equationCRE solvabilitykink-lump wave solutionsnon-auto Bäcklund transformation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Related Items (8)

New type of multiple lump and rogue wave solutions of the \((2+1)\)-dimensional Bogoyavlenskii-Kadomtsev-Petviashvili equation ⋮ General high-order localized waves to the Bogoyavlenskii-Kadomtsev-Petviashvili equation ⋮ Inelastic interaction solutions between multiple-lump molecule and kink solitons of the (2+1)-dimensional BKP equation ⋮ A new composite technique to obtain non-traveling wave solutions of the \((2+1)\)-dimensional extended variable coefficients Bogoyavlenskii-Kadomtsev-Petviashvili equation ⋮ Parameter limit method and its application in the (4+1)-dimensional Fokas equation ⋮ Bilinear Bäcklund transformations, kink periodic solitary wave and lump wave solutions of the Bogoyavlenskii-Kadomtsev-Petviashvili equation ⋮ Lump-type wave and interaction solutions of the Bogoyavlenskii-Kadomtsev-Petviashvili equation ⋮ Soliton and lump-soliton solutions in the Grammian form for the Bogoyavlenskii-Kadomtsev-Petviashvili equation

Cites Work

• Unnamed Item
• Unnamed Item
• Lump solutions to dimensionally reduced \(p\)-gKP and \(p\)-gBKP equations
• Consistent Riccati expansion solvability and soliton-cnoidal wave interaction solution of a \((2 + 1)\)-dimensional Korteweg-de Vries equation
• Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation
• Nonlocal symmetry and soliton-cnoidal wave solutions of the Bogoyavlenskii coupled KdV system
• Multilinear operators: the natural extension of Hirota's bilinear formalism
• Soliton-like and period form solutions for high dimensional nonlinear evolution equations
• Bäcklund transformation classification, integrability and exact solutions to the generalized Burgers'-KdV equation
• Abundant lump-type solutions of the Jimbo-Miwa equation in \((3+1)\)-dimensions
• Generalized symmetry classifications, integrable properties and exact solutions to the general nonlinear diffusion equations
• The residual symmetry of the (\(2 + 1\))-dimensional coupled Burgers equation
• Lump solutions to the Kadomtsev-Petviashvili equation
• N-soliton solutions to a -dimensional integrable equation
• Recursion operators and non-local symmetries
• Consistent Riccati Expansion for Integrable Systems
• Lump solutions to the BKP equation by symbolic computation
• Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries

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