Linearizability for third order evolution equations
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Publication:5357543
DOI10.1063/1.4997558zbMath1379.35057arXiv1612.01111OpenAlexW2560338860MaRDI QIDQ5357543
F. Güngör, Peter Basarab-Horwath
Publication date: 11 September 2017
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.01111
KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear higher-order PDEs (35G20) Initial value problems for nonlinear higher-order PDEs (35G25) Symmetries, invariants, etc. in context of PDEs (35B06)
Related Items (5)
Equivalence classes and linearization of the Riccati and Abel chain ⋮ Abelian Lie symmetry algebras of two‐dimensional quasilinear evolution equations ⋮ A novel noncommutative KdV-type equation, its recursion operator, and solitons ⋮ KdV-type equations linked via Bäcklund transformations: remarks and perspectives ⋮ Abelian versus non-abelian Bäcklund charts: some remarks
Cites Work
- Conservation laws and normal forms of evolution equations
- A KdV-like advection-dispersion equation with some remarkable properties
- Group classification of linear evolution equations
- Nonlocal symmetries of evolution equations
- On the integrability of homogeneous scalar evolution equations
- Variational setting of a nonlinear interaction problem.
- Group classification of linear fourth-order evolution equations
- Symmetry classification of third-order nonlinear evolution equations. I: Semi-simple algebras
- The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
- Symmetries of Differential Equations and the Problem of Integrability
- Painlevé Tests, Singularity Structure and Integrability
- On the symmetries of evolution equations
- Symmetry classification of KdV-type nonlinear evolution equations
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