The N-soliton solution of a two-component modified nonlinear Schrödinger equation

2011/07/05 by Yoshimasa Matsuno, Matsuno, Yoshimasa
Physics and Astronomy · #Advanced Fiber Laser Technologies #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #nlin.SI

paper · pdf · doi:10.48550/arxiv.1107.0776

To appear in Phys. Lett. A (2011)

arxiv created 2011/07/05 · openalex publication_date 2011/07/05 · arxiv updated 2011/07/06 · openalex created_date 2017/10/20 · openalex updated_date 2026/07/28

Abstract

The N-soliton solution is presented for a two-component modified nonlinear Schrödinger equation which describes the propagation of short pulses in birefringent optical fibers. The solution is found to be expressed in terms of determinants. The proof of the solution is carried out by means of an elementary theory of determinants. The generalization of the 2-component system to the multi-component system is discussed as well as a (2+1)-dimensional nonlocal equation arising from its continuum limit.

Related

• The multi-component modified nonlinear Schrödinger system with nonzero boundary conditions
• A novel multi-component generalization of the short pulse equation and its multisoliton solutions
• Riemann-Hilbert approach for a mixed coupled nonlinear Schrödinger system and its soliton solutions
• New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
• Riemann-Hilbert approach and N-soliton solutions for a new four-component nonlinear Schrödinger equation