Special derivative nonlinear Schrödinger (DNLS) systems exhibiting 2-soliton solutions

DOI10.1016/S0960-0779(99)00099-5zbMath0985.37074OpenAlexW2072385086MaRDI QIDQ1577200

Derek W. C. Lai, Kwok W. Chow

Publication date: 9 November 2000

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

Full work available at URL: https://doi.org/10.1016/s0960-0779(99)00099-5

zbMATH Keywords

Schrödinger equationthird-order dispersionHirota bilinear transform

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (1)

Numerical methods for the derivative nonlinear Schrödinger equation

Cites Work

• Coalescence of Wavenumbers and Exact Solutions for a System of Coupled Nonlinear Schrödinger Equations
• Multi-Soliton Solutions of a Derivative Nonlinear Schrödinger Equation
• A fourth-order evolution equation for deep water surface gravity waves in the presence of wind blowing over water
• Small-amplitude solitary structures for an extended nonlinear Schrödinger equation
• Derivative Nonlinear Schrödinger Type Equations with Multiple Components and Their Solutions
• Gauge Transformations among Generalised Nonlinear Schrödinger Equations
• A search for bilinear equations passing Hirota’s three-soliton condition. IV. Complex bilinear equations

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