Emergence and space–time structure of lump solution to the (2+1)-dimensional generalized KP equation
A periodic breather-wave solution is obtained using homoclinic test approach and Hirota’s bilinear method with a small perturbation parameter u 0 for the (2 + 1)-dimensional generalized Kadomtsev–Petviashvili equation. Based on the periodic breather-wave, a lump solution is emerged by limit behaviou...
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| Veröffentlicht in: | Pramāṇa 2017-11, Vol.89 (5), p.1-7, Article 77 |
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| creator | Tan, Wei Dai, Houping Dai, Zhengde Zhong, Wenyong |
| description | A periodic breather-wave solution is obtained using homoclinic test approach and Hirota’s bilinear method with a small perturbation parameter
u
0
for the (2
+
1)-dimensional generalized Kadomtsev–Petviashvili equation. Based on the periodic breather-wave, a lump solution is emerged by limit behaviour. Finally, three different forms of the space–time structure of the lump solution are investigated and discussed using the extreme value theory. |
| doi_str_mv | 10.1007/s12043-017-1474-0 |
| format | Article |
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u
0
for the (2
+
1)-dimensional generalized Kadomtsev–Petviashvili equation. Based on the periodic breather-wave, a lump solution is emerged by limit behaviour. Finally, three different forms of the space–time structure of the lump solution are investigated and discussed using the extreme value theory.</description><identifier>ISSN: 0304-4289</identifier><identifier>EISSN: 0973-7111</identifier><identifier>DOI: 10.1007/s12043-017-1474-0</identifier><language>eng</language><publisher>New Delhi: Springer India</publisher><subject>Astronomy ; Astrophysics and Astroparticles ; Extreme value theory ; Extreme values ; Observations and Techniques ; Physics ; Physics and Astronomy</subject><ispartof>Pramāṇa, 2017-11, Vol.89 (5), p.1-7, Article 77</ispartof><rights>Indian Academy of Sciences 2017</rights><rights>Copyright Springer Science & Business Media 2017</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-928d6707e34c228e504798fd1e5b8f958109eba94fbf26339d0969b7a187225f3</citedby><cites>FETCH-LOGICAL-c316t-928d6707e34c228e504798fd1e5b8f958109eba94fbf26339d0969b7a187225f3</cites><orcidid>0000-0001-8894-8290</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s12043-017-1474-0$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s12043-017-1474-0$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27915,27916,41479,42548,51310</link.rule.ids></links><search><creatorcontrib>Tan, Wei</creatorcontrib><creatorcontrib>Dai, Houping</creatorcontrib><creatorcontrib>Dai, Zhengde</creatorcontrib><creatorcontrib>Zhong, Wenyong</creatorcontrib><title>Emergence and space–time structure of lump solution to the (2+1)-dimensional generalized KP equation</title><title>Pramāṇa</title><addtitle>Pramana - J Phys</addtitle><description>A periodic breather-wave solution is obtained using homoclinic test approach and Hirota’s bilinear method with a small perturbation parameter
u
0
for the (2
+
1)-dimensional generalized Kadomtsev–Petviashvili equation. Based on the periodic breather-wave, a lump solution is emerged by limit behaviour. Finally, three different forms of the space–time structure of the lump solution are investigated and discussed using the extreme value theory.</description><subject>Astronomy</subject><subject>Astrophysics and Astroparticles</subject><subject>Extreme value theory</subject><subject>Extreme values</subject><subject>Observations and Techniques</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><issn>0304-4289</issn><issn>0973-7111</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><recordid>eNp1kLtOAzEQRVcIJMLjA-gs0YCQYcb2xnaJUHiISFBAbTm7Y0i02Q32bgEV_8Af8iU4CgUN1YxG51yNblEcIZwjgL5IKEBJDqg5Kq04bBUjsFpyjYjbeZeguBLG7hZ7KS0A0CpZjoowWVJ8obYi5tuapZWv6Pvzq58viaU-DlU_RGJdYM2wXLHUNUM_71rWd6x_JXYizvCU1xluUz77huUoir6Zf1DN7h8ZvQ1-LRwUO8E3iQ5_537xfD15urrl04ebu6vLKa8kjntuhanHGjRJVQlhqASlrQk1UjkzwZYGwdLMWxVmQYyltDXYsZ1pj0YLUQa5Xxxvclexexso9W7RDTE_lhxmXVhAYzKFG6qKXUqRglvF-dLHd4fg1nW6TZ0u1-nWdTrIjtg4KbPtC8U_yf9KP3_Qd84</recordid><startdate>20171101</startdate><enddate>20171101</enddate><creator>Tan, Wei</creator><creator>Dai, Houping</creator><creator>Dai, Zhengde</creator><creator>Zhong, Wenyong</creator><general>Springer India</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0001-8894-8290</orcidid></search><sort><creationdate>20171101</creationdate><title>Emergence and space–time structure of lump solution to the (2+1)-dimensional generalized KP equation</title><author>Tan, Wei ; Dai, Houping ; Dai, Zhengde ; Zhong, Wenyong</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-928d6707e34c228e504798fd1e5b8f958109eba94fbf26339d0969b7a187225f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Astronomy</topic><topic>Astrophysics and Astroparticles</topic><topic>Extreme value theory</topic><topic>Extreme values</topic><topic>Observations and Techniques</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Tan, Wei</creatorcontrib><creatorcontrib>Dai, Houping</creatorcontrib><creatorcontrib>Dai, Zhengde</creatorcontrib><creatorcontrib>Zhong, Wenyong</creatorcontrib><collection>CrossRef</collection><jtitle>Pramāṇa</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Tan, Wei</au><au>Dai, Houping</au><au>Dai, Zhengde</au><au>Zhong, Wenyong</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Emergence and space–time structure of lump solution to the (2+1)-dimensional generalized KP equation</atitle><jtitle>Pramāṇa</jtitle><stitle>Pramana - J Phys</stitle><date>2017-11-01</date><risdate>2017</risdate><volume>89</volume><issue>5</issue><spage>1</spage><epage>7</epage><pages>1-7</pages><artnum>77</artnum><issn>0304-4289</issn><eissn>0973-7111</eissn><abstract>A periodic breather-wave solution is obtained using homoclinic test approach and Hirota’s bilinear method with a small perturbation parameter
u
0
for the (2
+
1)-dimensional generalized Kadomtsev–Petviashvili equation. Based on the periodic breather-wave, a lump solution is emerged by limit behaviour. Finally, three different forms of the space–time structure of the lump solution are investigated and discussed using the extreme value theory.</abstract><cop>New Delhi</cop><pub>Springer India</pub><doi>10.1007/s12043-017-1474-0</doi><tpages>7</tpages><orcidid>https://orcid.org/0000-0001-8894-8290</orcidid></addata></record> |
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| issn | 0304-4289 0973-7111 |
| language | eng |
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| source | Indian Academy of Sciences; SpringerLink Journals - AutoHoldings |
| subjects | Astronomy Astrophysics and Astroparticles Extreme value theory Extreme values Observations and Techniques Physics Physics and Astronomy |
| title | Emergence and space–time structure of lump solution to the (2+1)-dimensional generalized KP equation |
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