Author(s)

Yuting Qiu^*, Ping Gao

School of Mathematics and Information Science, Guangzhou University, Guangzhou, China.

In this paper, coupled nonlinear Schrödinger equations with variable coefficients are studied, which can be used to describe the interaction among the modes in nonlinear optics and Bose-Einstein condensation. Some novel bright-dark solitons and dark-dark solitons are obtained by modified Sine-Gordon equation method. Moreover, some figures are provided to illustrate how the soliton solutions propagation is determined by the different values of the variable group velocity dispersion terms, which can be used to model various phenomena.

Modified Sine-Gordon Equation Method, Coupled Nonlinear Schrödinger Equation, Exact Solutions, Bright-Dark Soliton

Qiu, Y. and Gao, P. (2020) New Exact Solutions for the Coupled Nonlinear Schrödinger Equations with Variable Coefficients. Journal of Applied Mathematics and Physics, 8, 1515-1523. doi: 10.4236/jamp.2020.88117.