Residual symmetry, Bäcklund transformation, and soliton solutions of the higher-order Broer-Kaup system
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Publication:2244338
DOI10.1155/2021/9975303zbMath1477.35063OpenAlexW3161170648MaRDI QIDQ2244338
Yarong Xia, Ruo-Xia Yao, Xiang-Peng Xin
Publication date: 12 November 2021
Published in: Advances in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2021/9975303
Soliton solutions (35C08) Symmetries, invariants, etc. in context of PDEs (35B06) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)
Related Items (2)
Nonlocal symmetry, exact solutions and conservation laws of the \((1+1)\)-dimensional Levi equation ⋮ Analytical treatment of the generalized Hirota-Satsuma-Ito equation arising in shallow water wave
Cites Work
- Unnamed Item
- Bosonization, singularity analysis, nonlocal symmetry reductions and exact solutions of supersymmetric KdV equation
- Nonlocal symmetry and similarity reductions for the Drinfeld-Sokolov-Satsuma-Hirota system
- Bilinear formalism, lump solution, lumpoff and instanton/rogue wave solution of a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation
- Nonlocal symmetries, conservation laws and interaction solutions for the classical Boussinesq-Burgers equation
- Symmetries and exact solutions of the Sharma-Tass-Olver equation
- Bäcklund transformation and soliton-cnoidal wave interaction solution for the coupled Klein-Gordon equations
- Localized waves and interaction solutions to an extended \((3+1)\)-dimensional Jimbo-Miwa equation
- Soliton fission and fusion: Burgers equation and Sharma-Tasso-Olver equation
- Consistent Riccati expansion and rational solutions of the Drinfel'd-Sokolov-Wilson equation
- Darboux transformation of the variable coefficient nonlocal equation
- Multiple lump solutions of the \((4+1)\)-dimensional Fokas equation
- Rational solutions and their interaction solutions of the \((3+1)\)-dimensional Jimbo-Miwa equation
- Painlevé analysis and invariant solutions of generalized fifth-order nonlinear integrable equation
- Lump solutions of a nonlinear PDE combining with a new fourth-order term \(D_x^2 D_t^2 *\)
- Symmetry analysis, Bäcklund transformations, and interaction solutions for an AB modified KdV system
- Residual symmetries and Bäcklund transformations of \((2+1)\)-dimensional strongly coupled Burgers system
- Complex simplified Hirota's forms and Lie symmetry analysis for multiple real and complex soliton solutions of the modified KdV-sine-Gordon equation
- Nonlocal symmetries and explicit solutions of the AKNS system
- CTE method to the interaction solutions of Boussinesq-Burgers equations
- Residual symmetries and soliton-cnoidal wave interaction solutions for the negative-order Korteweg-de Vries equation
- Explicit \(N\)-fold Darboux transformation and multi-soliton solutions for the \((1 + 1)\)-dimensional higher-order Broer-Kaup system
- Nonlocal symmetries, exact solutions and conservation laws of the coupled Hirota equations
- Solving Kadomtsev–Petviashvili Equation via a New Decomposition and Darboux Transformation
- Nonlocal symmetries related to Bäcklund transformation and their applications
- Lie symmetry analysis, conservation laws and analytical solutions for chiral nonlinear Schrödinger equation in (2 + 1)-dimensions
- Nonlocal Symmetries for Bilinear Equations and Their Applications
- Conformal invariance and integrable models
- Symmetries of the KdV equation and four hierarchies of the integrodifferential KdV equations
- Recursion operators and non-local symmetries
- Infinitely many Lax pairs and symmetry constraints of the KP equation
- Negative Kadomtsev–Petviashvili Hierarchy
- Interaction Solutions for (1+1)-Dimensional Higher-Order Broer—Kaup System
- Non-local symmetries via Darboux transformations
- Kawahara equation and modified Kawahara equation with time dependent coefficients: symmetry analysis and generalized ‐expansion method
- CTE Solvability, Nonlocal Symmetries and Exact Solutions of Dispersive Water Wave System
- Soliton molecules and the CRE method in the extended mKdV equation
- LIE SYMMETRY ANALYSIS, CONSERVATION LAWS AND EXACT SOLUTIONS OF FOURTH-ORDER TIME FRACTIONAL BURGERS EQUATION
- PAINLEVÉ ANALYSIS AND NEW ANALYTIC SOLUTIONS FOR (1+1)-DIMENSIONAL HIGHER-ORDER BROER–KAUP SYSTEM WITH SYMBOLIC COMPUTATION
- Nonlocal symmetries and conservation laws of the Sinh-Gordon equation
- Multipotentializations and nonlocal symmetries: Kupershmidt, Kaup-Kupershmidt and Sawada-Kotera equations
- Bäcklund transformations between four Lax-integrable 3D equations
- Consistent Riccati Expansion for Integrable Systems
- A SEARCH FOR LUMP SOLUTIONS TO A COMBINED FOURTH-ORDER NONLINEAR PDE IN (2+1)-DIMENSIONS
- GROUP-INVARIANT SOLUTIONS, NON-GROUP-INVARIANT SOLUTIONS AND CONSERVATION LAWS OF QIAO EQUATION
- Symmetries and differential equations
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