Abundant exact solutions for the higher order non-linear Schrodinger equation with cubic-quintic non-Kerr terms

Jun Liu; Mianyi Duan; Gui Mu; Chuanjian Wang

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Abundant exact solutions for the higher order non-linear Schrodinger equation with cubic-quintic non-Kerr terms

机译：具有三次五次非Kerr项的高阶非线性Schrodinger方程的大量精确解

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摘要

In this paper, the higher order NLS equation with cubic-quintic non-linear terms arising in non-Kerr media is studied, new abundant solitary solutions of this equation are obtained using generalized auxiliary equation method.

机译：本文研究了在非Ker介质中产生的具有立方五次非线性项的高阶NLS方程，并利用广义辅助方程法获得了该方程的新的丰富孤立解。

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来源
《Communications in Nonlinear Science and Numerical Simulation》 |2010年第12期|P.3777-3781|共5页
作者
Jun Liu; Mianyi Duan; Gui Mu; Chuanjian Wang;
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作者单位

College of Mathematics and Information Science. Qujing Normal University, Qujing 655000, PR China;

School of Statistics, Central University of Finance and Economics, Beijing 100081, PR China;

School of Mathematics and Statistics, Yunnan University, Kunming 650091, PR China;

School of Mathematics and Statistics, Yunnan University, Kunming 650091, PR China;

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正文语种 eng
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关键词
NLS equation; RKL equation; generalized auxiliary equation method; soliton;

机译：NLS方程;RKL方程;广义辅助方程法孤子;

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1. Optical solitary wave solutions for the higher order nonlinear Schrodinger equation with cubic-quintic non-Kerr terms [J] . Woo-Pyo Hong Optics Communications: A Journal Devoted to the Rapid Publication of Short Contributions in the Field of Optics and Interaction of Light with Matter . 2001,第1a3期

机译：具有三次五次非Kerr项的高阶非线性Schrodinger方程的孤光解
2. Many new exact solutions to the higher-order nonlinear Schrodinger equation with derivative non-Kerr nonlinear terms using three different techniques [J] . Zayed Elsayed M. E., Al-Nowehy Abdul-Ghani Optik: Zeitschrift fur Licht- und Elektronenoptik: = Journal for Light-and Electronoptic . 2017,第期

机译：使用三种不同技术的具有衍生非克尔非线性术语的高阶非线性Schrodinger方程的许多新的精确解决方案
3. Optical soliton solutions of the cubic-quintic non-linear Schrodinger's equation including an anti-cubic term [J] . Kaplan Melike, Hosseini Kamyar, Samadani Farzan, Journal of Modern Optics . 2018,第10a12期

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4. Finite Difference Schemes for the Schrodinger-Maxwell equations (with a general non-linear term) [C] . NIKOS E. MASTORAKIS WSEAS International Conferences . 2009

机译：Schrodinger-Maxwell方程的有限差分方案（具有一般非线性术语）
5. Existence and multiplicity results on standing wave solutions of some coupled nonlinear Schrodinger equations. [D] . Tian, Rushun. 2013

机译：一类耦合非线性Schrodinger方程驻波解的存在性和多重性结果。
6. Bright-Dark and Multi Solitons Solutions of (3 + 1)-Dimensional Cubic-Quintic Complex Ginzburg–Landau Dynamical Equation with Applications and Stability [O] . Chen Yue, Dianchen Lu, Muhammad Arshad, 2020

机译：（3 + 1） - 二维立方 - Quid-Complex Ginzburg-Landau的亮度和多孤子解决方案具有应用和稳定性的动态方程
7. Coupled nonlinear Schrodinger equations with cubic-quintic nonlinearity: Integrability and soliton interaction in non-Kerr media [O] . Radhakrishnan, R., Kundu, A., Lakshmanan, M. 1999

机译：具有三次五次非线性的耦合非线性薛定谔方程：非Kerr介质中的可积性和孤子相互作用

Abundant exact solutions for the higher order non-linear Schrodinger equation with cubic-quintic non-Kerr terms

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