Manakov model of coupled NLS equation and its optical soliton solutions

IF 13 1区工程技术 Q1 ENGINEERING, MARINE

Journal of Ocean Engineering and Science Pub Date : 2024-08-01 DOI:10.1016/j.joes.2022.03.005

{"title":"Manakov model of coupled NLS equation and its optical soliton solutions","authors":"","doi":"10.1016/j.joes.2022.03.005","DOIUrl":null,"url":null,"abstract":"<div><p>In the field of maritime transport, motion and energy, the dynamics of deep-sea waves is one of the major problems in ocean science. A mathematical modeling of dynamics of solitary waves in deep sea under the two-layer stratification leads to NLS equation, and consequently, the interaction two of them can be formulated by coupled NLS equation. In this work, extended auxiliary equation and the <span><math><mrow><mi>e</mi><mi>x</mi><mi>p</mi><mrow><mo>(</mo><mo>−</mo><mi>ϖ</mi><mrow><mo>(</mo><mi>χ</mi><mo>)</mo></mrow><mo>)</mo></mrow></mrow></math></span>-expansion methods are employed to make the optical solutions of the Manakov model of coupled NLS equation. The methods used in this paper, in addition to providing the analysis of individual wave solutions, also provide general optical solutions. Some previously known solutions can be obtained by some special selections of parameters obtained by solving systems of algebraic equations. At this stage, it is more practical and convenient to apply methods with a symbolic calculation system.</p></div>","PeriodicalId":48514,"journal":{"name":"Journal of Ocean Engineering and Science","volume":"9 4","pages":"Pages 364-372"},"PeriodicalIF":13.0000,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2468013322000547/pdfft?md5=0b9ba08cf52db497b98be32ec825647c&pid=1-s2.0-S2468013322000547-main.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Ocean Engineering and Science","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2468013322000547","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MARINE","Score":null,"Total":0}

引用次数: 0

Abstract

In the field of maritime transport, motion and energy, the dynamics of deep-sea waves is one of the major problems in ocean science. A mathematical modeling of dynamics of solitary waves in deep sea under the two-layer stratification leads to NLS equation, and consequently, the interaction two of them can be formulated by coupled NLS equation. In this work, extended auxiliary equation and the $e x p (- ϖ (χ))$ -expansion methods are employed to make the optical solutions of the Manakov model of coupled NLS equation. The methods used in this paper, in addition to providing the analysis of individual wave solutions, also provide general optical solutions. Some previously known solutions can be obtained by some special selections of parameters obtained by solving systems of algebraic equations. At this stage, it is more practical and convenient to apply methods with a symbolic calculation system.

查看原文本刊更多论文

耦合NLS方程的Manakov模型及其光孤子解

在海洋运输、运动和能源领域，深海波浪动力学是海洋科学的主要问题之一。通过对两层分层条件下深海孤波动力学的数学建模，可以得到 NLS 方程，进而可以用耦合 NLS 方程来表述二者的相互作用。本文采用扩展辅助方程和exp(-ϖ(χ))展开方法来求解耦合NLS方程的Manakov模型的光学解。本文使用的方法除了提供单个波解的分析之外，还提供了一般光学解。一些以前已知的解可以通过求解代数方程系统获得的一些特殊参数选择来获得。在现阶段，采用符号计算系统的方法更为实用和方便。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Journal of Ocean Engineering and Science Multiple-

CiteScore

11.50

自引率

19.70%

发文量

224

审稿时长

29 days

期刊介绍： The Journal of Ocean Engineering and Science (JOES) serves as a platform for disseminating original research and advancements in the realm of ocean engineering and science. JOES encourages the submission of papers covering various aspects of ocean engineering and science.