Nonlocal Symmetries and Interaction Solutions for Potential Kadomtsev-Petviashvili Equation
The nonlocal symmetry for the potential Kadomtsev-Petviashvili（pKP） equation is derived by the truncated Painleve analysis.The nonlocal symmetry is localized to the Lie point symmetry by introducing the auxiliary dependent variable.Thanks to localization process,the finite symmetry transformations r...
Gespeichert in:
| Veröffentlicht in: | Communications in theoretical physics 2016-03, Vol.65 (3), p.341-346 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 346 |
|---|---|
| container_issue | 3 |
| container_start_page | 341 |
| container_title | Communications in theoretical physics |
| container_volume | 65 |
| creator | 任博 俞军 刘希忠 |
| description | The nonlocal symmetry for the potential Kadomtsev-Petviashvili（pKP） equation is derived by the truncated Painleve analysis.The nonlocal symmetry is localized to the Lie point symmetry by introducing the auxiliary dependent variable.Thanks to localization process,the finite symmetry transformations related with the nonlocal symmetry are obtained by solving the prolonged systems.The inelastic interactions among the multiple-front waves of the pKP equation are generated from the finite symmetry transformations.Based on the consistent tanh expansion method,a nonauto-Backlund transformation（BT） theorem of the pKP equation is constructed.We can get many new types of interaction solutions because of the existence of an arbitrary function in the nonauto-BT theorem.Some special interaction solutions are investigated both in analytical and graphical ways. |
| doi_str_mv | 10.1088/0253-6102/65/3/341 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_1816055145</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><cqvip_id>668505580</cqvip_id><sourcerecordid>1816055145</sourcerecordid><originalsourceid>FETCH-LOGICAL-c307t-a3c7310776376e98b1eba706a40211c3fa5a15123fc7e1cec23d4572e6381e913</originalsourceid><addsrcrecordid>eNo9kD1PwzAQQC0EEqXwB5giJpYQXxzbyYgqPioqqFSYGCzXvbRGSdzGTqX-exK16nQ3vHfSPULugT4BzfOEppzFAmiaCJ6whGVwQUbAZRoXWZFdktEZuCY33v9RSlMpYER-P11TOaOraHGoawytRR_pZhVNm4CtNsG6Jlq4qhsWH5WujeYuYBNsr3zolauDx308x7C32m_2trLRy67TA35Lrkpdebw7zTH5eX35nrzHs6-36eR5FhtGZYg1M5IBlVIwKbDIl4BLLanQGU0BDCs118AhZaWRCAZNylZZ_xoKlgMWwMbk8Xh327pdhz6o2nqDVaUbdJ1XkIOgnEPGezQ9oqZ13rdYqm1ra90eFFA1lFRDKDWEUoIrpvqSvfRwkjauWe9ssz5bQuS8P51T9g_mt3Jw</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1816055145</pqid></control><display><type>article</type><title>Nonlocal Symmetries and Interaction Solutions for Potential Kadomtsev-Petviashvili Equation</title><source>IOP Publishing Journals</source><source>Institute of Physics (IOP) Journals - HEAL-Link</source><source>Alma/SFX Local Collection</source><creator>任博 俞军 刘希忠</creator><creatorcontrib>任博 俞军 刘希忠</creatorcontrib><description>The nonlocal symmetry for the potential Kadomtsev-Petviashvili（pKP） equation is derived by the truncated Painleve analysis.The nonlocal symmetry is localized to the Lie point symmetry by introducing the auxiliary dependent variable.Thanks to localization process,the finite symmetry transformations related with the nonlocal symmetry are obtained by solving the prolonged systems.The inelastic interactions among the multiple-front waves of the pKP equation are generated from the finite symmetry transformations.Based on the consistent tanh expansion method,a nonauto-Backlund transformation（BT） theorem of the pKP equation is constructed.We can get many new types of interaction solutions because of the existence of an arbitrary function in the nonauto-BT theorem.Some special interaction solutions are investigated both in analytical and graphical ways.</description><identifier>ISSN: 0253-6102</identifier><identifier>EISSN: 1572-9494</identifier><identifier>DOI: 10.1088/0253-6102/65/3/341</identifier><language>eng</language><subject>Backlund变换 ; Construction ; Dependent variables ; Existence theorems ; KP方程 ; Localization ; Mathematical analysis ; Symmetry ; Theorems ; Transformations ; 函数展开法 ; 对称变换 ; 局域对称性 ; 相互作用 ; 辅助变量 ; 非局部</subject><ispartof>Communications in theoretical physics, 2016-03, Vol.65 (3), p.341-346</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c307t-a3c7310776376e98b1eba706a40211c3fa5a15123fc7e1cec23d4572e6381e913</citedby><cites>FETCH-LOGICAL-c307t-a3c7310776376e98b1eba706a40211c3fa5a15123fc7e1cec23d4572e6381e913</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>315,781,785,27929,27930</link.rule.ids></links><search><creatorcontrib>任博 俞军 刘希忠</creatorcontrib><title>Nonlocal Symmetries and Interaction Solutions for Potential Kadomtsev-Petviashvili Equation</title><title>Communications in theoretical physics</title><addtitle>Communications in Theoretical Physics</addtitle><description>The nonlocal symmetry for the potential Kadomtsev-Petviashvili（pKP） equation is derived by the truncated Painleve analysis.The nonlocal symmetry is localized to the Lie point symmetry by introducing the auxiliary dependent variable.Thanks to localization process,the finite symmetry transformations related with the nonlocal symmetry are obtained by solving the prolonged systems.The inelastic interactions among the multiple-front waves of the pKP equation are generated from the finite symmetry transformations.Based on the consistent tanh expansion method,a nonauto-Backlund transformation（BT） theorem of the pKP equation is constructed.We can get many new types of interaction solutions because of the existence of an arbitrary function in the nonauto-BT theorem.Some special interaction solutions are investigated both in analytical and graphical ways.</description><subject>Backlund变换</subject><subject>Construction</subject><subject>Dependent variables</subject><subject>Existence theorems</subject><subject>KP方程</subject><subject>Localization</subject><subject>Mathematical analysis</subject><subject>Symmetry</subject><subject>Theorems</subject><subject>Transformations</subject><subject>函数展开法</subject><subject>对称变换</subject><subject>局域对称性</subject><subject>相互作用</subject><subject>辅助变量</subject><subject>非局部</subject><issn>0253-6102</issn><issn>1572-9494</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNo9kD1PwzAQQC0EEqXwB5giJpYQXxzbyYgqPioqqFSYGCzXvbRGSdzGTqX-exK16nQ3vHfSPULugT4BzfOEppzFAmiaCJ6whGVwQUbAZRoXWZFdktEZuCY33v9RSlMpYER-P11TOaOraHGoawytRR_pZhVNm4CtNsG6Jlq4qhsWH5WujeYuYBNsr3zolauDx308x7C32m_2trLRy67TA35Lrkpdebw7zTH5eX35nrzHs6-36eR5FhtGZYg1M5IBlVIwKbDIl4BLLanQGU0BDCs118AhZaWRCAZNylZZ_xoKlgMWwMbk8Xh327pdhz6o2nqDVaUbdJ1XkIOgnEPGezQ9oqZ13rdYqm1ra90eFFA1lFRDKDWEUoIrpvqSvfRwkjauWe9ssz5bQuS8P51T9g_mt3Jw</recordid><startdate>20160301</startdate><enddate>20160301</enddate><creator>任博 俞军 刘希忠</creator><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>20160301</creationdate><title>Nonlocal Symmetries and Interaction Solutions for Potential Kadomtsev-Petviashvili Equation</title><author>任博 俞军 刘希忠</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c307t-a3c7310776376e98b1eba706a40211c3fa5a15123fc7e1cec23d4572e6381e913</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Backlund变换</topic><topic>Construction</topic><topic>Dependent variables</topic><topic>Existence theorems</topic><topic>KP方程</topic><topic>Localization</topic><topic>Mathematical analysis</topic><topic>Symmetry</topic><topic>Theorems</topic><topic>Transformations</topic><topic>函数展开法</topic><topic>对称变换</topic><topic>局域对称性</topic><topic>相互作用</topic><topic>辅助变量</topic><topic>非局部</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>任博 俞军 刘希忠</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>中文科技期刊数据库-7.0平台</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>任博 俞军 刘希忠</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Nonlocal Symmetries and Interaction Solutions for Potential Kadomtsev-Petviashvili Equation</atitle><jtitle>Communications in theoretical physics</jtitle><addtitle>Communications in Theoretical Physics</addtitle><date>2016-03-01</date><risdate>2016</risdate><volume>65</volume><issue>3</issue><spage>341</spage><epage>346</epage><pages>341-346</pages><issn>0253-6102</issn><eissn>1572-9494</eissn><abstract>The nonlocal symmetry for the potential Kadomtsev-Petviashvili（pKP） equation is derived by the truncated Painleve analysis.The nonlocal symmetry is localized to the Lie point symmetry by introducing the auxiliary dependent variable.Thanks to localization process,the finite symmetry transformations related with the nonlocal symmetry are obtained by solving the prolonged systems.The inelastic interactions among the multiple-front waves of the pKP equation are generated from the finite symmetry transformations.Based on the consistent tanh expansion method,a nonauto-Backlund transformation（BT） theorem of the pKP equation is constructed.We can get many new types of interaction solutions because of the existence of an arbitrary function in the nonauto-BT theorem.Some special interaction solutions are investigated both in analytical and graphical ways.</abstract><doi>10.1088/0253-6102/65/3/341</doi><tpages>6</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0253-6102 |
| ispartof | Communications in theoretical physics, 2016-03, Vol.65 (3), p.341-346 |
| issn | 0253-6102 1572-9494 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_1816055145 |
| source | IOP Publishing Journals; Institute of Physics (IOP) Journals - HEAL-Link; Alma/SFX Local Collection |
| subjects | Backlund变换 Construction Dependent variables Existence theorems KP方程 Localization Mathematical analysis Symmetry Theorems Transformations 函数展开法 对称变换 局域对称性 相互作用 辅助变量 非局部 |
| title | Nonlocal Symmetries and Interaction Solutions for Potential Kadomtsev-Petviashvili Equation |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-16T10%3A14%3A05IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Nonlocal%20Symmetries%20and%20Interaction%20Solutions%20for%20Potential%20Kadomtsev-Petviashvili%20Equation&rft.jtitle=Communications%20in%20theoretical%20physics&rft.au=%E4%BB%BB%E5%8D%9A%20%E4%BF%9E%E5%86%9B%20%E5%88%98%E5%B8%8C%E5%BF%A0&rft.date=2016-03-01&rft.volume=65&rft.issue=3&rft.spage=341&rft.epage=346&rft.pages=341-346&rft.issn=0253-6102&rft.eissn=1572-9494&rft_id=info:doi/10.1088/0253-6102/65/3/341&rft_dat=%3Cproquest_cross%3E1816055145%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1816055145&rft_id=info:pmid/&rft_cqvip_id=668505580&rfr_iscdi=true |