Method for finding highly dispersive optical solitons of nonlinear differential equations
Method for finding highly dispersive optical solitons of nonlinear differential equations
复制标题
非线性微分方程高色散光学孤子的求解方法
DOI：
10.1016/j.ijleo.2019.163550
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发表时间：
2020
期刊：
影响因子：
3.1
通讯作者：
N. Kudryashov
中科院分区：
文献类型：
--
作者：
N. Kudryashov
给出了一种求非线性微分方程孤立波解的方法。介绍了逻辑斯谛函数求孤立波解的一种推广。讨论了该基本函数的性质。本文给出了一个求非线性微分方程孤立波形式精确解的算法。该方法具有显著的优势，这种类型的其他方法。它的优点是由于在计算中我们不使用特定函数的形式。我们的方法是特别有效的高阶非线性微分方程用于描述脉冲在光纤中的传播找到精确的解决方案。应用精确解搜索法寻找非线性微分方程的高色散孤子。
A method for finding solitary wave solutions to nonlinear differential equations is presented. A generalization for the logistic function to obtain a solitary wave solution is introduced. Properties of this basic function are discussed. An algorithm for finding exact solutions in the form of a solitary wave for nonlinear differential equations is formulated. The method has significant advantages over other approaches of this type. Its advantage is due to the fact that in the calculations we do not use the form of a specific function. Our approach is particularly effective in finding exact solutions to high-order nonlinear differential equations used in describing the propagation of pulses in an optical fiber. The application of the exact solutions search method for finding highly dispersed solitons of nonlinear differential equations is shown.