Bilinearization of Coupled Nonlinear Schrödinger Type Equations: Integrabilty and Solitons

DOI10.2991/jnmp.1998.5.2.3zbMath0944.35098arXivnlin/9804202OpenAlexW3102170699MaRDI QIDQ4498220

K. Porsezian

Publication date: 15 August 2000

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/9804202

zbMATH Keywords

Hirota's bilinear methodintegrability conditionscoupled Hirota equation

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) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

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Cites Work

• Unnamed Item
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• Integrability and singularity structure of coupled nonlinear Schrödinger equations.
• To the integrability of the system of two coupled nonlinear Schrödinger equations
• A unified approach to Painlevé expansions
• Algorithmic method for deriving Lax pairs from the invariant Painlevé analysis of nonlinear partial differential equations
• The Painlevé property for partial differential equations
• Bright and dark optical solitons in coupled higher-order nonlinear Schrodinger equations through singularity structure analysis
• Gauge Transformations among Generalised Nonlinear Schrödinger Equations
• Exact envelope-soliton solutions of a nonlinear wave equation