Solutions to the KP hierarchy with an elliptic background
A class of "elliptic soliton" solutions of the Kadomtsev-Petviashvili hierarchy, which includes a determinantal solution of Li and Zhang, is described in terms of pseudo-differential operator formulation. In our approach, the Li-Zhang solution is obtained by repeatedly applying the Darboux...
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| creator | Kakei, Saburo |
| description | A class of "elliptic soliton" solutions of the Kadomtsev-Petviashvili
hierarchy, which includes a determinantal solution of Li and Zhang, is
described in terms of pseudo-differential operator formulation. In our
approach, the Li-Zhang solution is obtained by repeatedly applying the Darboux
transformation to a stationary solution. Real-valued solutions are discussed
and various examples that display web-like patterns are presented. |
| doi_str_mv | 10.48550/arxiv.2310.11679 |
| format | Article |
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hierarchy, which includes a determinantal solution of Li and Zhang, is
described in terms of pseudo-differential operator formulation. In our
approach, the Li-Zhang solution is obtained by repeatedly applying the Darboux
transformation to a stationary solution. Real-valued solutions are discussed
and various examples that display web-like patterns are presented.</description><identifier>DOI: 10.48550/arxiv.2310.11679</identifier><language>eng</language><subject>Mathematics - Mathematical Physics ; Physics - Exactly Solvable and Integrable Systems ; Physics - Mathematical Physics</subject><creationdate>2023-10</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2310.11679$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2310.11679$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Kakei, Saburo</creatorcontrib><title>Solutions to the KP hierarchy with an elliptic background</title><description>A class of "elliptic soliton" solutions of the Kadomtsev-Petviashvili
hierarchy, which includes a determinantal solution of Li and Zhang, is
described in terms of pseudo-differential operator formulation. In our
approach, the Li-Zhang solution is obtained by repeatedly applying the Darboux
transformation to a stationary solution. Real-valued solutions are discussed
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hierarchy, which includes a determinantal solution of Li and Zhang, is
described in terms of pseudo-differential operator formulation. In our
approach, the Li-Zhang solution is obtained by repeatedly applying the Darboux
transformation to a stationary solution. Real-valued solutions are discussed
and various examples that display web-like patterns are presented.</abstract><doi>10.48550/arxiv.2310.11679</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Mathematical Physics Physics - Exactly Solvable and Integrable Systems Physics - Mathematical Physics |
| title | Solutions to the KP hierarchy with an elliptic background |
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