The effect of the elliptic polarization on the quasi-particle dynamics of linearly coupled systems of Nonlinear Schrödinger Equations

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• 作者：M.D. Todorov ; ^{mtod@tu-sofia.bg" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Linearly Coupled Nonlinear Schr&ouml ; dinger Equations ; Elliptic polarization ; Rotational polarization
• 刊名：Mathematics and Computers in Simulation
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：127
• 期：Complete
• 页码：273-286
• 全文大小：6931 K

文摘

We investigate numerically by a conservative difference scheme in complex arithmetic the head-on and takeover collision dynamics of the solitary waves as solutions of linearly Coupled Nonlinear Schrödinger Equations for various initial phases. The initial conditions are superposition of two one-soliton solutions with arbitrary (elliptic) polarization. The quasi-particle behavior of propagating and interacting solutions in conditions of elliptic and rotational polarizations at once is examined. We find that the total mass, pseudomomentum and energy are conserved while the local masses, individual and total polarization depend strongly on the linear coupling and the initial phase difference. We also find out that the polarization angle of the quasi-particles can change independently of the interaction.