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.
Funder
National Natural Science Foundation of China
Subject
Condensed Matter Physics,Fluid Flow and Transfer Processes,Mechanics of Materials,Computational Mechanics,Mechanical Engineering