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New Exact Solutions for the Coupled Nonlinear Schrödinger Equations with Variable Coefficients

New Exact Solutions for the Coupled Nonlinear Schrödinger Equations with Variable Coefficients
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摘要 In this paper, coupled nonlinear Schr<span style="white-space:nowrap;">&#246;</span>dinger 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. In this paper, coupled nonlinear Schr<span style="white-space:nowrap;">&#246;</span>dinger 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.
作者 Yuting Qiu Ping Gao Yuting Qiu;Ping Gao(School of Mathematics and Information Science, Guangzhou University, Guangzhou, China)
出处 《Journal of Applied Mathematics and Physics》 2020年第8期1515-1523,共9页 应用数学与应用物理(英文)
关键词 Modified Sine-Gordon Equation Method Coupled Nonlinear Schrödinger Equation Exact Solutions Bright-Dark Soliton Modified Sine-Gordon Equation Method Coupled Nonlinear Schrödinger Equation Exact Solutions Bright-Dark Soliton
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