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arXiv 1606.08641nlin.PSnlin.SI
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相干耦合玻色-爱因斯坦凝聚体中的叠加非线性波

Superposed nonlinear waves in coherently coupled Bose-Einstein condensates

R. Babu Mareeswaran, T. Kanna

摘要:

研究了具有常非线性系数(自治系统)和时变非线性系数(非自治系统)的相干耦合Gross-Pitaevskii(CCGP)方程中叠加非线性波的动力学性质.通过线性变换,将自治CCGP系统转化为两个独立的标量非线性薛定谔方程,并证明了这两个标量方程的不同非线性波解的线性叠加将导致几种非线性相干结构,即共存的流氓波-Ma呼吸子、Akhmediev-Ma呼吸子、Ma呼吸子和孤子的碰撞和束缚态.然后,利用相似变换将非自治CCGP系统转化为自治CCGP系统。我们发现了一个有趣的可能性孤子压缩和蠕动孤子的外观扭结和周期调制的非线性系数。

英文摘要:

We study the dynamics of superposed nonlinear waves in coherently coupled Gross-Pitaevskii (CCGP) equations with constant (autonomous system) and time varying (non-autonomous system) nonlinearity co-efficients. By employing a linear transformation, the autonomous CCGP system is converted into two separate scalar nonlinear Schrödinger equations and we show that linear superposition of different nonlinear wave solutions of these scalar equations results into several kinds of nonlinear coherent structures namely, coexisting rogue wave-Ma breather, Akhmediev-Ma breathers, collision and bound states of Ma breathers and solitons. Next, the non-autonomous CCGP system is converted into an autonomous CCGP system with a similarity transformation. We show an interesting possibility of soliton compression and appearance of creeping solitons for kink-like and periodically modulated nonlinearity coefficient.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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