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首页> 外文期刊>International journal of numerical methods for heat & fluid flow >New types of chirped soliton solutions for the Fokas-Lenells equation
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New types of chirped soliton solutions for the Fokas-Lenells equation

机译：Fokas-Lenells方程的新型of孤子解

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Purpose - Thepurposeof thispaperis topresentareliabletreatmentof theFokas-Lenellsequation,anintegrable generalization of the nonlinear Schrödinger equation. The authors use a special complex envelope travelingwave solution to carry out the analysis. The study confirms the accuracy and efficiency of the used method. Design/methodology/approach - The proposed technique, namely, the trial equation method, as presented in this work has been shown to be very efficient for solving nonlinear equations with spatiotemporal dispersion. Findings - A class of chirped soliton-like solutions including bright, dark and kink solitons is derived. The associated chirp, including linear and nonlinear contributions, is also determined for each of these optical pulses. Parametric conditions for the existence of chirped soliton solutions are presented. Research limitations/implications - The paper presents a new efficient algorithm for handling an integrable generalization of the nonlinear Schrödinger equation. Practical/implications - The authors present a useful algorithm to handle nonlinear equations with spatial-temporal dispersion. The method is an effective method with promising results. Social/implications - This is a newly examined model. A useful method is presented to offer a reliable treatment. Originality/value - The paper presents a new efficient algorithm for handling an integrable generalization of the nonlinear Schrödinger equation.
机译：目的-本文的目的是提出对Fokas-Lenell方程的一种可靠处理，对非线性Schrödinger方程进行可积分的推广。作者使用特殊的复杂包络行波解决方案来进行分析。研究证实了所用方法的准确性和效率。设计/方法/方法-这项工作中提出的拟议技术，即试验方程法，对于解决具有时空色散的非线性方程式非常有效。结果-派生出一类类似于bright的孤子解，包括亮，暗和扭结孤子。还为这些光脉冲中的每一个确定相关的线性调频脉冲，包括线性和非线性贡献。提出了for孤子解存在的参数条件。研究局限/意义-本文提出了一种新的有效算法，用于处理非线性Schrödinger方程的可积分泛化。实际/意义-作者提出了一种有用的算法来处理具有时空色散的非线性方程。该方法是行之有效的有效方法。社交/含义-这是一个新近考察的模型。提出了一种有用的方法以提供可靠的治疗。创意/价值-本文提出了一种新的有效算法，用于处理非线性Schrödinger方程的可积分泛化。

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