EXACT DARK SOLITON SOLUTION OF THE GENERALIZED NONLINEAR SCHRÖDINGER EQUATION

DOI10.1142/S0217984909020965zbMath1179.37090OpenAlexW2077243344MaRDI QIDQ3400975

Xiao-Na Cai, Hong-Xian Xu, Cai-Zhen Yao, Yi Zhang

Publication date: 28 January 2010

Published in: Modern Physics Letters B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217984909020965

zbMATH Keywords

generalized nonlinear Schrödinger equationsoliton solutionhirota bilinear method

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) Lasers, masers, optical bistability, nonlinear optics (78A60) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (2)

Hirota method for oblique solitons in two-dimensional supersonic nonlinear Schrödinger flow ⋮ DYNAMICS OF BISOLITONIC MATTER WAVES IN A BOSE–EINSTEIN CONDENSATE SUBJECTED TO AN ATOMIC BEAM SPLITTER AND GRAVITY

Uses Software

• Maple

Cites Work

• Soliton solutions in linear magnetic field and time-dependent laser field.
• Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
• New solitons for the Hirota equation and generalized higher-order nonlinear Schrödinger equation with variable coefficients
• Blow-up in Nonlinear Schroedinger Equations-I A General Review
• Unnamed Item

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