Derivation of Korteweg-de Vries flow equations from nonlinear Schrödinger equation

DOI10.1016/J.CHAOS.2007.10.012zbMath1198.37095OpenAlexW2024710114MaRDI QIDQ602229

Mehmet Naci Özer, Filiz Tascan

Publication date: 4 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.10.012

Mathematics Subject Classification ID

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)

Related Items (1)

Derivation of Korteweg-de Vries flow equations from modified nonlinear Schrödinger equation

Uses Software

• REDUCE

Cites Work

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• Nonlinear Schrödinger-type equations from multiscale reduction of PDEs. I. Systematic derivation
• The shallow-water nonlinear Schrödinger equation in Lagrangian coordinates
• Factorization of operators I. Miura transformations
• Perturbation methods and non-linear hyperbolic waves
• Derivation of integrable nonlinear evolution equations from the higher order NLS equation

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