New exact solution and simulation for the coupled nonlinear Schrödinger
equations with variable coefficients
Abstract
In this paper, we study the coupled nonlinear Schrödinger equation with
variable coefficients (VCNLS) by means of modified Sine-Gordon equation
method, the subsistence of some novel bright-dark solitons and dark-dark
solitons are obtained. Moreover, some figures are simulated by computer
to show the solutions are soliton solutions and how the evolution of
soliton is determined by different values of variable group velocity
dispersion terms, which can be used to simulate various phenomena.