New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation

1991/02/15 by Narimasa Sasa, Junkichi Satsuma · 3 citations
Physics and Astronomy · #Nonlinear Waves and Solitons #Nonlinear Photonic Systems #Advanced Fiber Laser Technologies

paper · doi:10.1143/jpsj.60.409

Abstract

It is shown that a higher-order nonlinear Schrödinger equation which describes propagation of pulses in optical fiber is solvable by means of the inverse scattering transform. The soliton solution possesses a remarkable property that it can propagate steadily with two peaks of the same height.

Citations

• Nonlinear pulse propagation in a monomode dielectric guide

Cited by

• Riemann-Hilbert construction of N-soliton solutions for the n-component reverse-space-time nonlocal generalized Sasa-Satsuma system
• Transformations between nonlocal and local integrable equations
• Global well-posedness of the one-dimensional cubic nonlinear Schrödinger equation in almost critical spaces

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