Painlevé test for some \((2+1)\)-dimensional nonlinear equations
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Publication:2482395
DOI10.1016/j.chaos.2006.06.047zbMath1139.37306OpenAlexW1985044473MaRDI QIDQ2482395
Publication date: 16 April 2008
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2006.06.047
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
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Cites Work
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- The Painlevé property. One century later
- Painlevé analysis and special solutions of generalized Broer-Kaup equations
- A note on the homogeneous balance method
- Painlevé test for the certain (2 + 1)-dimensional nonlinear evolution equations
- Algorithmic method for deriving Lax pairs from the invariant Painlevé analysis of nonlinear partial differential equations
- The Painlevé property for partial differential equations
- A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
- Lax pairs galore
- Searching for Higher Dimensional Integrable Models from Lower Ones via Painlevé Analysis
- Higher dimensional Painlevé integrable models from the Kadomtsev–Petviashvili equation
