Solving the constrained modified KP hierarchy by gauge transformations
In this paper, we mainly investigate two kinds of gauge transformations for the constrained modified KP hierarchy in Kupershmidt-Kiso version. The corresponding gauge transformations are required to keep not only the Lax equation but also the Lax operator. For this, by selecting the special generati...
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| Veröffentlicht in: | Journal of nonlinear mathematical physics 2019-01, Vol.26 (1), p.54-68 |
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| creator | Chen, Huizhan Geng, Lumin Li, Na Cheng, Jipeng |
| description | In this paper, we mainly investigate two kinds of gauge transformations for the constrained modified KP hierarchy in Kupershmidt-Kiso version. The corresponding gauge transformations are required to keep not only the Lax equation but also the Lax operator. For this, by selecting the special generating eigenfunction and adjoint eigenfunction, the elementary gauge transformation operators of modified KP hierarchy T
D
(Φ) = (Φ
−
1
)
−
x
1
∂ Φ
−
1
and T
I
(Ψ) = Ψ
−
1
∂
−
1
Ψ
x
, become the ones in the constrained case. Finally, the corresponding successive applications of T
D
and T
I
on the eigenfunction Φ and the adjoint eigenfunction Ψ are discussed. |
| doi_str_mv | 10.1080/14029251.2019.1544787 |
| format | Article |
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D
(Φ) = (Φ
−
1
)
−
x
1
∂ Φ
−
1
and T
I
(Ψ) = Ψ
−
1
∂
−
1
Ψ
x
, become the ones in the constrained case. Finally, the corresponding successive applications of T
D
and T
I
on the eigenfunction Φ and the adjoint eigenfunction Ψ are discussed.</description><identifier>ISSN: 1402-9251</identifier><identifier>ISSN: 1776-0852</identifier><identifier>EISSN: 1776-0852</identifier><identifier>DOI: 10.1080/14029251.2019.1544787</identifier><language>eng</language><publisher>Dordrecht: Taylor & Francis</publisher><subject>Eigenvectors ; gauge transformations ; Research Article ; successive applications ; The constrained mKP hierarchy</subject><ispartof>Journal of nonlinear mathematical physics, 2019-01, Vol.26 (1), p.54-68</ispartof><rights>2018 The Authors 2018</rights><rights>the authors 2019</rights><rights>the authors 2019. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c432t-6b1e0e0172de842492544886ed06062947f4873cce90e5488b0e994e67a88b973</citedby><cites>FETCH-LOGICAL-c432t-6b1e0e0172de842492544886ed06062947f4873cce90e5488b0e994e67a88b973</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1080/14029251.2019.1544787$$EPDF$$P50$$Gspringer$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1080/14029251.2019.1544787$$EHTML$$P50$$Gspringer$$Hfree_for_read</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Chen, Huizhan</creatorcontrib><creatorcontrib>Geng, Lumin</creatorcontrib><creatorcontrib>Li, Na</creatorcontrib><creatorcontrib>Cheng, Jipeng</creatorcontrib><title>Solving the constrained modified KP hierarchy by gauge transformations</title><title>Journal of nonlinear mathematical physics</title><addtitle>J Nonlinear Math Phys</addtitle><description>In this paper, we mainly investigate two kinds of gauge transformations for the constrained modified KP hierarchy in Kupershmidt-Kiso version. The corresponding gauge transformations are required to keep not only the Lax equation but also the Lax operator. For this, by selecting the special generating eigenfunction and adjoint eigenfunction, the elementary gauge transformation operators of modified KP hierarchy T
D
(Φ) = (Φ
−
1
)
−
x
1
∂ Φ
−
1
and T
I
(Ψ) = Ψ
−
1
∂
−
1
Ψ
x
, become the ones in the constrained case. Finally, the corresponding successive applications of T
D
and T
I
on the eigenfunction Φ and the adjoint eigenfunction Ψ are discussed.</description><subject>Eigenvectors</subject><subject>gauge transformations</subject><subject>Research Article</subject><subject>successive applications</subject><subject>The constrained mKP hierarchy</subject><issn>1402-9251</issn><issn>1776-0852</issn><issn>1776-0852</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><recordid>eNqFkFFLwzAUhYMoOKc_QSj43HmTpkn6pgynoqCgPoesve0ytmYmndJ_b2YnvulTDuQ7J-Ej5JzChIKCS8qBFSynEwa0mNCcc6nkARlRKUUKKmeHMUcm3UHH5CSEJUAmhVIjMntxqw_bNkm3wKR0bei8sS1WydpVtrYxPDwnC4ve-HLRJ_M-acy2wSRibaidX5vOxtYpOarNKuDZ_hyTt9nN6_QufXy6vZ9eP6Ylz1iXijlFQKCSVag44_FDnCslsAIBghVc1lzJrCyxAMzjzRywKDgKaWIuZDYmF8Puxrv3LYZOL93Wt_FJHRVQyHIuWaTygSq9C8FjrTfero3vNQW9U6Z_lOmdMr1XFnti6IXItw363_X_ildD0bbfTj6dX1W6M_3K-TqaKm3Q2d8TX_QNgWo</recordid><startdate>20190102</startdate><enddate>20190102</enddate><creator>Chen, Huizhan</creator><creator>Geng, Lumin</creator><creator>Li, Na</creator><creator>Cheng, Jipeng</creator><general>Taylor & Francis</general><general>Springer Netherlands</general><general>Springer Nature B.V</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>JQ2</scope></search><sort><creationdate>20190102</creationdate><title>Solving the constrained modified KP hierarchy by gauge transformations</title><author>Chen, Huizhan ; Geng, Lumin ; Li, Na ; Cheng, Jipeng</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c432t-6b1e0e0172de842492544886ed06062947f4873cce90e5488b0e994e67a88b973</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Eigenvectors</topic><topic>gauge transformations</topic><topic>Research Article</topic><topic>successive applications</topic><topic>The constrained mKP hierarchy</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chen, Huizhan</creatorcontrib><creatorcontrib>Geng, Lumin</creatorcontrib><creatorcontrib>Li, Na</creatorcontrib><creatorcontrib>Cheng, Jipeng</creatorcontrib><collection>Springer Nature OA Free Journals</collection><collection>CrossRef</collection><collection>ProQuest Computer Science Collection</collection><jtitle>Journal of nonlinear mathematical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Chen, Huizhan</au><au>Geng, Lumin</au><au>Li, Na</au><au>Cheng, Jipeng</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Solving the constrained modified KP hierarchy by gauge transformations</atitle><jtitle>Journal of nonlinear mathematical physics</jtitle><stitle>J Nonlinear Math Phys</stitle><date>2019-01-02</date><risdate>2019</risdate><volume>26</volume><issue>1</issue><spage>54</spage><epage>68</epage><pages>54-68</pages><issn>1402-9251</issn><issn>1776-0852</issn><eissn>1776-0852</eissn><abstract>In this paper, we mainly investigate two kinds of gauge transformations for the constrained modified KP hierarchy in Kupershmidt-Kiso version. The corresponding gauge transformations are required to keep not only the Lax equation but also the Lax operator. For this, by selecting the special generating eigenfunction and adjoint eigenfunction, the elementary gauge transformation operators of modified KP hierarchy T
D
(Φ) = (Φ
−
1
)
−
x
1
∂ Φ
−
1
and T
I
(Ψ) = Ψ
−
1
∂
−
1
Ψ
x
, become the ones in the constrained case. Finally, the corresponding successive applications of T
D
and T
I
on the eigenfunction Φ and the adjoint eigenfunction Ψ are discussed.</abstract><cop>Dordrecht</cop><pub>Taylor & Francis</pub><doi>10.1080/14029251.2019.1544787</doi><tpages>15</tpages><oa>free_for_read</oa></addata></record> |
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| subjects | Eigenvectors gauge transformations Research Article successive applications The constrained mKP hierarchy |
| title | Solving the constrained modified KP hierarchy by gauge transformations |
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