New exact solutions for higher order nonlinear Schroedinger equation in optical fibers

Mostafa Eslami; Ahmad Neirameh

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New exact solutions for higher order nonlinear Schroedinger equation in optical fibers

机译：光纤中高阶非线性Schroedinger方程的新精确解

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摘要

Nonlinear Schrodinger equation (NLSE) is now one of the prominent of modern physics, mathematics and chemistry. Over these fields, the NLSE is also applied in new emerging fields such as quantum information and econophysics. In this paper we investigate for new exact solutions of higher order nonlinear Schrodinger's equation. This method allows to carry out the solution process of nonlinear wave equations more thoroughly and conveniently by computer algebra systems such as the Maple and Mathematica. In addition to providing a different way of solving the Schrodinger equation for such systems, the simplicity of the algorithm renders it a great pedagogical value.

机译：非线性薛定inger方程（NLSE）现在是现代物理学，数学和化学领域的重要研究之一。在这些领域中，NLSE还应用于新兴领域，例如量子信息和经济物理学。在本文中，我们研究了高阶非线性Schrodinger方程的新精确解。这种方法可以通过Maple和Mathematica等计算机代数系统更彻底，更方便地执行非线性波动方程的求解过程。除了提供用于解决此类系统的Schrodinger方程的另一种方法外，该算法的简单性还使其具有很大的教学价值。

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来源
《Optical and quantum electronics》 |2018年第1期|47.1-47.8|共8页
作者
Mostafa Eslami; Ahmad Neirameh;
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作者单位

Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran;

Department of Mathematics, Faculty of Sciences, Gonbad Kavous University, Gonbad, Iran;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Exact solution; Schrodinger equation; exp(-φ(ξ))-expansion method;

机译：确切的解决方案;薛定inger方程;exp（-φ（ξ））-展开法;

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专利

1. Generalized (G'/G)-expansion method and exact traveling wave solutions of the perturbed nonlinear Schroedinger's equation with Kerr law nonlinearity in optical fiber materials [J] . Zaiyun Zhang, Jianguo Wu Optical and quantum electronics . 2017,第2期

机译：光纤材料中具有Kerr律非线性的摄动非线性Schroedinger方程的广义（G'/ G）展开方法和精确行波解
2. Exact Solutions to Nonlinear Schroedinger Equation and Higher-Order Nonlinear Schroedinger Equation [J] . REN Ji, RUAN Hang-Yu 理论物理通讯：英文版 . 2008,第009期

机译：非线性薛定inger方程和高阶非线性薛定inger方程的精确解
3. Modulation stability and dispersive optical soliton solutions of higher order nonlinear Schroedinger equation and its applications in mono-mode optical fibers [J] . Muhammad Arshad, Aly R. Seadawy, Dianchen Lu Superlattices and microstructures . 2018,第JANa期

机译：高阶非线性Schroedinger方程的调制稳定性和色散孤子解及其在单模光纤中的应用
4. Exact Analytical Solutions to the Nonlinear Schroedinger Equation Model [C] . Biao Li, Yong Chen, Qi Wang International Symposium on Symbolic and Algebraic Computation(ISSAC'05); 20050724-27; Beijing(CN) . 2005

机译：非线性Schroedinger方程模型的精确解析解
5. Existence and stability of vortex solutions of certain nonlinear Schroedinger equations. [D] . Kollar, Richard. 2004

机译：某些非线性Schroedinger方程涡旋解的存在性和稳定性。
6. Exact solutions for (1 + 1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony equation and coupled Klein-Gordon equations [O] . Kamruzzaman Khan, M Ali Akbar, S M Rayhanul Islam -1

机译：（1 + 1）维非线性色散修正的Benjamin-Bona-Mahony方程和Klein-Gordon耦合方程的精确解
7. Exact soliton solutions, shape changing collisions and partially coherent solitons in coupled nonlinear Schroedinger equations [O] . Kanna, T., Lakshmanan, M. 2001

机译：精确的孤子解决方案，形状改变碰撞和部分耦合非线性schroedinger方程中的相干孤子
8. Exact Solutions of the Nonlinear Schroedinger Equation in Time Dependent Parabolic Density Profiles [R] . Burdet, G., Perrin, M. 1985

机译：时间依赖抛物密度剖面中非线性schroedinger方程的精确解

New exact solutions for higher order nonlinear Schroedinger equation in optical fibers

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