Periodic waves for a system of coupled, higher order nonlinear Schrödinger equations with third order dispersion

DOI10.1016/S0375-9601(03)00108-7zbMath1010.35095OpenAlexW2034593397MaRDI QIDQ1860863

Kwok W. Chow

Publication date: 4 March 2003

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(03)00108-7

zbMATH Keywords

theta functions

Mathematics Subject Classification ID

Nonlinear waves in solid mechanics (74J30) NLS equations (nonlinear Schrödinger equations) (35Q55)

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Cites Work

• Unnamed Item
• Bright and dark optical solitons in fiber media with higher-order effects.
• Solitary waves andNcoupled nonlinear equations
• Bright and dark optical solitons in coupled higher-order nonlinear Schrodinger equations through singularity structure analysis
• Exact envelope-soliton solutions of a nonlinear wave equation
• Periodic solutions for a system of four coupled nonlinear Schrödinger equations
• Dark soliton solutions of the coupled Hirota equation in nonlinear fiber