A binary Darboux transformation for multi-component nonlinear Schrödinger equations and dark vector soliton solutions

2023/11/01 by Rusuo Ye, Yi Zhang
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · doi:10.1063/5.0178235

openalex publication_date 2023/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/25

Abstract

By taking the plane wave potentials as the seed solutions, we harness a binary Darboux transformation to generate dark vector soliton solutions for multi-component nonlinear Schrödinger equations. We introduce a generalized Darboux matrix such that the eigenvalues could equal the adjoint eigenvalues. The method which is purely algebraic could be useful and convenient, particularly in the construction of dark soliton solutions of integrable systems.

Citations

• General N‐Dark–Dark Solitons in the Coupled Nonlinear Schrödinger Equations

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