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

Journal of the Physical Society of Japan · 1991 · Vol. 60(2) · pp. 409–417
Narimasa SasaJunkichi Satsuma

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.

Nonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Fiber Laser TechnologiesSolitonNonlinear Schrödinger equationInverse scattering transformPhysicsNonlinear systemType (biology)Order (exchange)Inverse scattering problemScatteringInverse
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References
Nonlinear pulse propagation in a monomode dielectric guide
IEEE Journal of Quantum Electronics · 1987 · 928 citations
Exact envelope-soliton solutions of a nonlinear wave equation
Journal of Mathematical Physics · 1973 · 1,338 citations
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