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Solitons for a generalized sixth-order variable-coefficient nonlinear Schrodinger equation for the attosecond pulses in an optical fiber

机译:光纤中阿秒脉冲的广义六阶变系数非线性薛定inger方程的孤子

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摘要

In this paper, under investigation is a sixth-order variable-coefficient nonlinear Schrodinger equation, which could describe the attosecond pulses in an optical fiber. Based on the self similarity transformation and Hirota method, one-and two-soliton solutions are obtained under certain constraints. Investigation shows that the velocities and shapes of the solitons and bound solitons are both affected by the sixth-order dispersion term, and the maximum intensities of the solitons and bound solitons increase when the gain function is positive and decrease when the gain function is negative, otherwise the periodicity of the bound solitons is destroyed when the gain function is not 0. (C) 2017 Elsevier B.V. All rights reserved.
机译:在本文中,正在研究的是六阶变系数非线性Schrodinger方程,该方程可以描述光纤中的阿秒脉冲。基于自相似变换和Hirota方法,在一定约束条件下获得了一孤子解和两孤子解。研究表明,孤子和束缚孤子的速度和形状均受六阶色散项的影响,增益函数为正时孤子和束缚孤子的最大强度增加,而增益函数为负时孤子和束缚孤子的最大强度减小,否则,当增益函数不为0时,绑定孤子的周期性将被破坏。(C)2017 Elsevier BV保留所有权利。

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