Residual symmetries and soliton-cnoidal wave interaction solutions for the negative-order Korteweg-de Vries equation
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Publication:2409567
DOI10.1016/J.AML.2017.05.002zbMath1375.35018OpenAlexW2612660319MaRDI QIDQ2409567
Publication date: 11 October 2017
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2017.05.002
truncated Painlevé expansionnonlocal symmetryLie point symmetry\(n\)th Bäcklund transformationconsistent tanh expansion method
KdV equations (Korteweg-de Vries equations) (35Q53) Symmetries, invariants, etc. in context of PDEs (35B06)
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Cites Work
- Negative-order KdV and negative-order KP equations: multiple soliton solutions
- CTE method to the interaction solutions of Boussinesq-Burgers equations
- Nonlocal symmetries related to Bäcklund transformation and their applications
- Negative powers of Olver recursion operators
- The Painlevé property for partial differential equations
- Evolution equations possessing infinitely many symmetries
- Symmetries of the KdV equation and four hierarchies of the integrodifferential KdV equations
- Negative Kadomtsev–Petviashvili Hierarchy
- CTE Solvability, Nonlocal Symmetries and Exact Solutions of Dispersive Water Wave System
- Nonlocal symmetries of the Hirota-Satsuma coupled Korteweg-de Vries system and their applications: Exact interaction solutions and integrable hierarchy
- Consistent Riccati Expansion for Integrable Systems
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