Residual symmetry reduction and consistent Riccati expansion to a nonlinear evolution equation
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Publication:2280265
DOI10.1155/2019/6503564zbMath1435.35023OpenAlexW2988786595WikidataQ126808775 ScholiaQ126808775MaRDI QIDQ2280265
Publication date: 18 December 2019
Published in: Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2019/6503564
KdV equations (Korteweg-de Vries equations) (35Q53) 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)
Cites Work
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- 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
- Applications of symmetry methods to partial differential equations
- Nonlocal symmetry, CRE solvability and soliton-cnoidal solutions of the \((2+1)\)-dimensional modified KdV-Calogero-Bogoyavlenkskii-Schiff equation
- Interactions among different types of nonlinear waves described by the Kadomtsev-Petviashvili equation
- Nonlinear variants of KdV and KP equations with compactons, solitons and periodic solutions
- Nonlocal symmetry and exact solutions of the \((2+1)\)-dimensional breaking soliton equation
- New Bäcklund transformations of the \((2+1)\)-dimensional Bogoyavlenskii equation via localization of residual symmetries
- The \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation: nonlocal symmetries and interaction solutions
- A series of new analytical solutions to the nonlinear equation y t+y x x x−6y2y x+6λy x=0. I
- New nonlocal symmetries with pseudopotentials
- Conformal invariance and integrable models
- Abundant symmetries for the 1+1 dimensional classical Liouville field theory
- Recursion operators and non-local symmetries
- Non-local symmetries via Darboux transformations
- Nonlocal symmetry constraints and exact interaction solutions of the (2+1) dimensional modified generalized long dispersive wave equation
- Consistent Riccati Expansion for Integrable Systems
- Construction of Soliton-Cnoidal Wave Interaction Solution for the (2+1)-Dimensional Breaking Soliton Equation*
- Symmetries and differential equations
- Residual Symmetry Reduction and Consistent Riccati Expansion of the Generalized Kaup-Kupershmidt Equation
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