Painlevé property of the inhomogeneous coupled nonlinear Schrödinger equations

DOI10.1016/0960-0779(94)00150-OzbMath0828.35127OpenAlexW1990898098MaRDI QIDQ1893447

K. Porsezian, P. Shanmugha Sundaram

Publication date: 4 January 1996

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(94)00150-o

zbMATH Keywords

Painlevé propertyPainlevé singularity structure analysis

Mathematics Subject Classification ID

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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (3)

Singularity structure analysis and Hirota's bilinearisation of the coupled integrable dispersionless equations ⋮ Integrability aspects of NLS-MB system with variable dispersion and nonlinear effects ⋮ Painlevé analysis and the integrability properties of coupled integrable dispersionless equations.

Cites Work

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• A unified approach to Painlevé expansions
• Painlevé property of the inhomogeneous deformed Kaup system
• Lie transformations, nonlinear evolution equations, and Painlevé forms
• The Painlevé property for partial differential equations
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• On the dynamics of the radially symmetric Heisenberg ferromagnetic spin system
• Painleve analysis and integrability of coupled non-linear Schrodinger equations

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