Painlevé Analysis and Singular Manifold Method for a (2 + 1) Dimensional Non-Linear Schrödinger Equation
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Publication:2732465
DOI10.2991/jnmp.2001.8.s.19zbMath0981.35081OpenAlexW4254427713MaRDI QIDQ2732465
G. A. Hernáez, Pilar G. Estevez
Publication date: 29 October 2001
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2991/jnmp.2001.8.s.19
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55)
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Cites Work
- The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
- On the structure and properties of the singularity manifold equations of the KP hierarchy
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- The Painlevé property for partial differential equations
- Darboux transformations via Painlevé analysis
- Factorization of the 'classical Boussinesq' system
- Modified singular manifold expansion: application to the Boussinesq and Mikhailov-Shabat systems
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