Infinite Sequence of Conservation Laws and Analytic Solutions for a Generalized Variable-Coefficient Fifth-Order Korteweg-de Vries Equation in Fluids

In this paper, an infinite sequence of conservation laws for a generalized variable-coefficient fifth-order Korteweg-de Vries equation in fluids are constructed based on the Backlund transformation. Hirota bilinear form and symbolic computation are applied to obtain three kinds of solutions. Variabl...

Full description

Saved in:
Bibliographic Details
Published in:Communications in theoretical physics 2011-04, Vol.55 (4), p.629-634
Main Author: 于鑫 高以天 孙志远 刘颖
Format: Article
Language:English
Subjects:
Backlund变换
Computational fluid dynamics
Conservation laws
Density
Exact solutions
Fluid flow
Fluids
Mathematical analysis
Solitons
五阶KdV方程
守恒定律
广义变系数
德弗里斯
无限序列
流体方程
解析解
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c342t-18ed9063664ee4a993575542c3ff2d2aa00f32f9de921b937b2b257e78a378883
cites cdi_FETCH-LOGICAL-c342t-18ed9063664ee4a993575542c3ff2d2aa00f32f9de921b937b2b257e78a378883
container_end_page 634
container_issue 4
container_start_page 629
container_title Communications in theoretical physics
container_volume 55
creator 于鑫 高以天 孙志远 刘颖
description In this paper, an infinite sequence of conservation laws for a generalized variable-coefficient fifth-order Korteweg-de Vries equation in fluids are constructed based on the Backlund transformation. Hirota bilinear form and symbolic computation are applied to obtain three kinds of solutions. Variable coefficients can affect the conserved density, associated flux, and appearance of the characteristic lines. Effects of the wave number on the soliton structures are also discussed and types of soliton structures, e.g., the double-periodic soliton, parallel soliton and soliton complexes, are presented.
doi_str_mv 10.1088/0253-6102/55/4/20
format article
fullrecord <record><control><sourceid>proquest_chong</sourceid><recordid>TN_cdi_chongqing_backfile_37409591</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><cqvip_id>37409591</cqvip_id><sourcerecordid>1439784128</sourcerecordid><originalsourceid>FETCH-LOGICAL-c342t-18ed9063664ee4a993575542c3ff2d2aa00f32f9de921b937b2b257e78a378883</originalsourceid><addsrcrecordid>eNqNkE9P20AQxX2gEhT4ANxWnHqom_1re48oIhQRKQcK19Xank2mXXaTXZso_R79vmAFce5ppJnfm6f3iuKK0R-MNs2MciXKilE-U2omZ5yeFGefu9Pia86_KaW8rthZ8e8-OAw4AHmE3QihAxIdmceQIb3aAWMgS7vPxIae3ATrDwN25DH6cTpl4mIiltxBgGQ9_oWePNuEtvVQziM4hx1CGMgC3bApV6mHRB5iGmAP67IH8pwQMrndjUcnDGThR-zzRfHFWZ_h8mOeF0-L21_zn-VydXc_v1mWnZB8KFkDvaaVqCoJIK3WQtVKSd4J53jPraXUCe50D5qzVou65S1XNdSNFXXTNOK8-Hb8u03xPX0ezAvmDry3AeKYDZNC141kfELZEe1SzDmBM9uELzYdDKNmqt1MFZupYqOUkYbTd833owbj9r_w6w-LTQzrHYa1aW33x6EHI2pJtdJMvAFrzpFE</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1439784128</pqid></control><display><type>article</type><title>Infinite Sequence of Conservation Laws and Analytic Solutions for a Generalized Variable-Coefficient Fifth-Order Korteweg-de Vries Equation in Fluids</title><source>Institute of Physics:Jisc Collections:IOP Publishing Read and Publish 2024-2025 (Reading List)</source><creator>于鑫 高以天 孙志远 刘颖</creator><creatorcontrib>于鑫 高以天 孙志远 刘颖</creatorcontrib><description>In this paper, an infinite sequence of conservation laws for a generalized variable-coefficient fifth-order Korteweg-de Vries equation in fluids are constructed based on the Backlund transformation. Hirota bilinear form and symbolic computation are applied to obtain three kinds of solutions. Variable coefficients can affect the conserved density, associated flux, and appearance of the characteristic lines. Effects of the wave number on the soliton structures are also discussed and types of soliton structures, e.g., the double-periodic soliton, parallel soliton and soliton complexes, are presented.</description><identifier>ISSN: 0253-6102</identifier><identifier>DOI: 10.1088/0253-6102/55/4/20</identifier><language>eng</language><publisher>IOP Publishing</publisher><subject>Backlund变换 ; Computational fluid dynamics ; Conservation laws ; Density ; Exact solutions ; Fluid flow ; Fluids ; Mathematical analysis ; Solitons ; 五阶KdV方程 ; 守恒定律 ; 广义变系数 ; 德弗里斯 ; 无限序列 ; 流体方程 ; 解析解</subject><ispartof>Communications in theoretical physics, 2011-04, Vol.55 (4), p.629-634</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c342t-18ed9063664ee4a993575542c3ff2d2aa00f32f9de921b937b2b257e78a378883</citedby><cites>FETCH-LOGICAL-c342t-18ed9063664ee4a993575542c3ff2d2aa00f32f9de921b937b2b257e78a378883</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Uhttp://image.cqvip.com/vip1000/qk/83837X/83837X.jpg</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>于鑫 高以天 孙志远 刘颖</creatorcontrib><title>Infinite Sequence of Conservation Laws and Analytic Solutions for a Generalized Variable-Coefficient Fifth-Order Korteweg-de Vries Equation in Fluids</title><title>Communications in theoretical physics</title><addtitle>Communications in Theoretical Physics</addtitle><description>In this paper, an infinite sequence of conservation laws for a generalized variable-coefficient fifth-order Korteweg-de Vries equation in fluids are constructed based on the Backlund transformation. Hirota bilinear form and symbolic computation are applied to obtain three kinds of solutions. Variable coefficients can affect the conserved density, associated flux, and appearance of the characteristic lines. Effects of the wave number on the soliton structures are also discussed and types of soliton structures, e.g., the double-periodic soliton, parallel soliton and soliton complexes, are presented.</description><subject>Backlund变换</subject><subject>Computational fluid dynamics</subject><subject>Conservation laws</subject><subject>Density</subject><subject>Exact solutions</subject><subject>Fluid flow</subject><subject>Fluids</subject><subject>Mathematical analysis</subject><subject>Solitons</subject><subject>五阶KdV方程</subject><subject>守恒定律</subject><subject>广义变系数</subject><subject>德弗里斯</subject><subject>无限序列</subject><subject>流体方程</subject><subject>解析解</subject><issn>0253-6102</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNqNkE9P20AQxX2gEhT4ANxWnHqom_1re48oIhQRKQcK19Xank2mXXaTXZso_R79vmAFce5ppJnfm6f3iuKK0R-MNs2MciXKilE-U2omZ5yeFGefu9Pia86_KaW8rthZ8e8-OAw4AHmE3QihAxIdmceQIb3aAWMgS7vPxIae3ATrDwN25DH6cTpl4mIiltxBgGQ9_oWePNuEtvVQziM4hx1CGMgC3bApV6mHRB5iGmAP67IH8pwQMrndjUcnDGThR-zzRfHFWZ_h8mOeF0-L21_zn-VydXc_v1mWnZB8KFkDvaaVqCoJIK3WQtVKSd4J53jPraXUCe50D5qzVou65S1XNdSNFXXTNOK8-Hb8u03xPX0ezAvmDry3AeKYDZNC141kfELZEe1SzDmBM9uELzYdDKNmqt1MFZupYqOUkYbTd833owbj9r_w6w-LTQzrHYa1aW33x6EHI2pJtdJMvAFrzpFE</recordid><startdate>20110401</startdate><enddate>20110401</enddate><creator>于鑫 高以天 孙志远 刘颖</creator><general>IOP Publishing</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>~WA</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20110401</creationdate><title>Infinite Sequence of Conservation Laws and Analytic Solutions for a Generalized Variable-Coefficient Fifth-Order Korteweg-de Vries Equation in Fluids</title><author>于鑫 高以天 孙志远 刘颖</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c342t-18ed9063664ee4a993575542c3ff2d2aa00f32f9de921b937b2b257e78a378883</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Backlund变换</topic><topic>Computational fluid dynamics</topic><topic>Conservation laws</topic><topic>Density</topic><topic>Exact solutions</topic><topic>Fluid flow</topic><topic>Fluids</topic><topic>Mathematical analysis</topic><topic>Solitons</topic><topic>五阶KdV方程</topic><topic>守恒定律</topic><topic>广义变系数</topic><topic>德弗里斯</topic><topic>无限序列</topic><topic>流体方程</topic><topic>解析解</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>于鑫 高以天 孙志远 刘颖</creatorcontrib><collection>中文科技期刊数据库</collection><collection>中文科技期刊数据库-CALIS站点</collection><collection>维普中文期刊数据库</collection><collection>中文科技期刊数据库- 镜像站点</collection><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Communications in theoretical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>于鑫 高以天 孙志远 刘颖</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Infinite Sequence of Conservation Laws and Analytic Solutions for a Generalized Variable-Coefficient Fifth-Order Korteweg-de Vries Equation in Fluids</atitle><jtitle>Communications in theoretical physics</jtitle><addtitle>Communications in Theoretical Physics</addtitle><date>2011-04-01</date><risdate>2011</risdate><volume>55</volume><issue>4</issue><spage>629</spage><epage>634</epage><pages>629-634</pages><issn>0253-6102</issn><abstract>In this paper, an infinite sequence of conservation laws for a generalized variable-coefficient fifth-order Korteweg-de Vries equation in fluids are constructed based on the Backlund transformation. Hirota bilinear form and symbolic computation are applied to obtain three kinds of solutions. Variable coefficients can affect the conserved density, associated flux, and appearance of the characteristic lines. Effects of the wave number on the soliton structures are also discussed and types of soliton structures, e.g., the double-periodic soliton, parallel soliton and soliton complexes, are presented.</abstract><pub>IOP Publishing</pub><doi>10.1088/0253-6102/55/4/20</doi><tpages>6</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0253-6102
ispartof Communications in theoretical physics, 2011-04, Vol.55 (4), p.629-634
issn 0253-6102
language eng
recordid cdi_chongqing_backfile_37409591
source Institute of Physics:Jisc Collections:IOP Publishing Read and Publish 2024-2025 (Reading List)
subjects Backlund变换
Computational fluid dynamics
Conservation laws
Density
Exact solutions
Fluid flow
Fluids
Mathematical analysis
Solitons
五阶KdV方程
守恒定律
广义变系数
德弗里斯
无限序列
流体方程
解析解
title Infinite Sequence of Conservation Laws and Analytic Solutions for a Generalized Variable-Coefficient Fifth-Order Korteweg-de Vries Equation in Fluids
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-29T15%3A21%3A26IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_chong&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Infinite%20Sequence%20of%20Conservation%20Laws%20and%20Analytic%20Solutions%20for%20a%20Generalized%20Variable-Coefficient%20Fifth-Order%20Korteweg-de%20Vries%20Equation%20in%20Fluids&rft.jtitle=Communications%20in%20theoretical%20physics&rft.au=%E4%BA%8E%E9%91%AB%20%E9%AB%98%E4%BB%A5%E5%A4%A9%20%E5%AD%99%E5%BF%97%E8%BF%9C%20%E5%88%98%E9%A2%96&rft.date=2011-04-01&rft.volume=55&rft.issue=4&rft.spage=629&rft.epage=634&rft.pages=629-634&rft.issn=0253-6102&rft_id=info:doi/10.1088/0253-6102/55/4/20&rft_dat=%3Cproquest_chong%3E1439784128%3C/proquest_chong%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c342t-18ed9063664ee4a993575542c3ff2d2aa00f32f9de921b937b2b257e78a378883%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=1439784128&rft_id=info:pmid/&rft_cqvip_id=37409591&rfr_iscdi=true