The exact solutions to a new type space reverse nonlocal Lakshmanan–Porserzian–Daniel equation
In this paper, we study a new type space reverse nonlocal Lakshmanan–Porserzian–Daniel (LPD) equation which can be derived from the two-component LPD system with a special reduction. We construct the multi-fold binary Darboux transformation for the nonlocal equation. The advantage of the binary Darb...
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| Veröffentlicht in: | Nonlinear dynamics 2024, Vol.112 (1), p.591-599 |
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| creator | Song, Caiqin Fang, Ri-Rong Zhang, Hui-Li Zhao, Hai-qiong |
| description | In this paper, we study a new type space reverse nonlocal Lakshmanan–Porserzian–Daniel (LPD) equation which can be derived from the two-component LPD system with a special reduction. We construct the multi-fold binary Darboux transformation for the nonlocal equation. The advantage of the binary Darboux transformation is that it provide a short-cut to construct explicit formulas for the solutions of nonlocal equation with zero and non-zero background conditions, such as the interaction bright soliton wave which can degenerate into the one bright wave having a sudden phase shift, the bound state bright wave which looks like a breather wave, the multi-humps bright wave, the interaction breather wave and the resonance breather wave. We find that these solutions exhibit various dynamic evolutions, and most of the collisions between the waves in these solutions are inelastic. |
| doi_str_mv | 10.1007/s11071-023-09057-7 |
| format | Article |
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We construct the multi-fold binary Darboux transformation for the nonlocal equation. The advantage of the binary Darboux transformation is that it provide a short-cut to construct explicit formulas for the solutions of nonlocal equation with zero and non-zero background conditions, such as the interaction bright soliton wave which can degenerate into the one bright wave having a sudden phase shift, the bound state bright wave which looks like a breather wave, the multi-humps bright wave, the interaction breather wave and the resonance breather wave. 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We find that these solutions exhibit various dynamic evolutions, and most of the collisions between the waves in these solutions are inelastic.</description><subject>Automotive Engineering</subject><subject>Breathers</subject><subject>Classical Mechanics</subject><subject>Control</subject><subject>Dynamical Systems</subject><subject>Engineering</subject><subject>Exact solutions</subject><subject>Mechanical Engineering</subject><subject>Nonlinear equations</subject><subject>Original Paper</subject><subject>Propagation</subject><subject>Solitary waves</subject><subject>Vibration</subject><issn>0924-090X</issn><issn>1573-269X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>AFKRA</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp9kL1OwzAQxy0EEqXwAkyWmANnO4mTEfEtVYKhQzfLdi40JbVbOwXKxDvwhjwJaYvExnS6-3-c9CPklME5A5AXkTGQLAEuEighk4ncIwOWSZHwvJzskwGUPN1Ik0NyFOMMAASHYkDMeIoU37XtaPTtqmu8i7TzVFOHb7RbL5DGhbZIA75iiEidd623uqUj_RKnc-20-_78evK9Fj6a7XKtXYMtxeVKb_qOyUGt24gnv3NIxrc346v7ZPR493B1OUosl5AnGVY8k8yghbrQIjep1P3NVILVsoaqsraQhucG06w2RV6I2hqwqSgQTcXFkJztahfBL1cYOzXzq-D6j4qXICQvZFb0Lr5z2eBjDFirRWjmOqwVA7VBqXYoVY9SbVEq2YfELhR7s3vG8Ff9T-oHDQ57Sw</recordid><startdate>2024</startdate><enddate>2024</enddate><creator>Song, Caiqin</creator><creator>Fang, Ri-Rong</creator><creator>Zhang, Hui-Li</creator><creator>Zhao, Hai-qiong</creator><general>Springer Netherlands</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope></search><sort><creationdate>2024</creationdate><title>The exact solutions to a new type space reverse nonlocal Lakshmanan–Porserzian–Daniel equation</title><author>Song, Caiqin ; Fang, Ri-Rong ; Zhang, Hui-Li ; Zhao, Hai-qiong</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2706-5ed2571bec0f8a36b47a5edbd31f7f0ddcc87b26be45fb8683fcb0c438eebd23</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Automotive Engineering</topic><topic>Breathers</topic><topic>Classical Mechanics</topic><topic>Control</topic><topic>Dynamical Systems</topic><topic>Engineering</topic><topic>Exact solutions</topic><topic>Mechanical Engineering</topic><topic>Nonlinear equations</topic><topic>Original Paper</topic><topic>Propagation</topic><topic>Solitary waves</topic><topic>Vibration</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Song, Caiqin</creatorcontrib><creatorcontrib>Fang, Ri-Rong</creatorcontrib><creatorcontrib>Zhang, Hui-Li</creatorcontrib><creatorcontrib>Zhao, Hai-qiong</creatorcontrib><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>Engineering Collection</collection><jtitle>Nonlinear dynamics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Song, Caiqin</au><au>Fang, Ri-Rong</au><au>Zhang, Hui-Li</au><au>Zhao, Hai-qiong</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The exact solutions to a new type space reverse nonlocal Lakshmanan–Porserzian–Daniel equation</atitle><jtitle>Nonlinear dynamics</jtitle><stitle>Nonlinear Dyn</stitle><date>2024</date><risdate>2024</risdate><volume>112</volume><issue>1</issue><spage>591</spage><epage>599</epage><pages>591-599</pages><issn>0924-090X</issn><eissn>1573-269X</eissn><abstract>In this paper, we study a new type space reverse nonlocal Lakshmanan–Porserzian–Daniel (LPD) equation which can be derived from the two-component LPD system with a special reduction. 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| subjects | Automotive Engineering Breathers Classical Mechanics Control Dynamical Systems Engineering Exact solutions Mechanical Engineering Nonlinear equations Original Paper Propagation Solitary waves Vibration |
| title | The exact solutions to a new type space reverse nonlocal Lakshmanan–Porserzian–Daniel equation |
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