Lump solutions to dimensionally reduced \[\varvec{p}\] -gKP and \[\varvec{p}\] -gBKP equations

Based on generalized bilinear forms, lump solutions, rationally localized in all directions in the space, to dimensionally reduced p-gKP and p-gBKP equations in (2+1)-dimensions are computed through symbolic computation with Maple. The sufficient and necessary conditions to guarantee analyticity and...

Full description

Saved in:
Bibliographic Details
Published in:Nonlinear dynamics 2016-04, Vol.84 (2), p.923-931
Main Authors: Wen Xiu Ma, Qin, Zhenyun, Lü, Xing
Format: Article
Language:English
Subjects:
Computation
Energy distribution
Invariance
Localization
Mathematical analysis
Mathematical models
Parameters
Three dimensional
Translations
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites
container_end_page 931
container_issue 2
container_start_page 923
container_title Nonlinear dynamics
container_volume 84
creator Wen Xiu Ma
Qin, Zhenyun
Lü, Xing
description Based on generalized bilinear forms, lump solutions, rationally localized in all directions in the space, to dimensionally reduced p-gKP and p-gBKP equations in (2+1)-dimensions are computed through symbolic computation with Maple. The sufficient and necessary conditions to guarantee analyticity and rational localization of the solutions are presented. The resulting lump solutions contain six parameters, two of which are totally free, due to the translation invariance, and the other four of which only need to satisfy the presented sufficient and necessary conditions. Their three-dimensional plots with particular choices of the involved parameters are made to show energy distribution.
doi_str_mv 10.1007/s11071-015-2539-6
format article
fullrecord <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_miscellaneous_1825545079</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2259454402</sourcerecordid><originalsourceid>FETCH-LOGICAL-p146t-975883390d8113688158a37d9ecfe6582c540d145f72fdf6c09a7ab6210623cf3</originalsourceid><addsrcrecordid>eNptj01LAzEYhIMoWKs_wFvAi5fom-_kqMUvLOhBoeBqiUlWWra7282mIOJ_d1FP4mmYmYeBQeiQwgkF0KeJUtCUAJWESW6J2kIjKjUnTNnZNhqBZYKAhdku2ktpCQCcgRmhl2letTg1Ve4XTZ1w3-CwWMU6Dc5V1TvuYsg-Blw8FRvXbaL_aD-LZ0zebu-xq__Jz4cirrP73ttHO6WrUjz41TF6vLx4mFyT6d3VzeRsSloqVE-slsZwbiEYSrkyhkrjuA42-jIqaZiXAgIVstSsDKXyYJ12r4pRUIz7ko_R8c9u2zXrHFM_Xy2Sj1Xl6tjkNKeGSSkkaDugR3_QZZO74WyaMyatkEIA418cCWPK</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2259454402</pqid></control><display><type>article</type><title>Lump solutions to dimensionally reduced \[\varvec{p}\] -gKP and \[\varvec{p}\] -gBKP equations</title><source>Springer Nature</source><creator>Wen Xiu Ma ; Qin, Zhenyun ; Lü, Xing</creator><creatorcontrib>Wen Xiu Ma ; Qin, Zhenyun ; Lü, Xing</creatorcontrib><description>Based on generalized bilinear forms, lump solutions, rationally localized in all directions in the space, to dimensionally reduced p-gKP and p-gBKP equations in (2+1)-dimensions are computed through symbolic computation with Maple. The sufficient and necessary conditions to guarantee analyticity and rational localization of the solutions are presented. The resulting lump solutions contain six parameters, two of which are totally free, due to the translation invariance, and the other four of which only need to satisfy the presented sufficient and necessary conditions. Their three-dimensional plots with particular choices of the involved parameters are made to show energy distribution.</description><identifier>ISSN: 0924-090X</identifier><identifier>EISSN: 1573-269X</identifier><identifier>DOI: 10.1007/s11071-015-2539-6</identifier><language>eng</language><publisher>Dordrecht: Springer Nature B.V</publisher><subject>Computation ; Energy distribution ; Invariance ; Localization ; Mathematical analysis ; Mathematical models ; Parameters ; Three dimensional ; Translations</subject><ispartof>Nonlinear dynamics, 2016-04, Vol.84 (2), p.923-931</ispartof><rights>Nonlinear Dynamics is a copyright of Springer, (2015). All Rights Reserved.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Wen Xiu Ma</creatorcontrib><creatorcontrib>Qin, Zhenyun</creatorcontrib><creatorcontrib>Lü, Xing</creatorcontrib><title>Lump solutions to dimensionally reduced \[\varvec{p}\] -gKP and \[\varvec{p}\] -gBKP equations</title><title>Nonlinear dynamics</title><description>Based on generalized bilinear forms, lump solutions, rationally localized in all directions in the space, to dimensionally reduced p-gKP and p-gBKP equations in (2+1)-dimensions are computed through symbolic computation with Maple. The sufficient and necessary conditions to guarantee analyticity and rational localization of the solutions are presented. The resulting lump solutions contain six parameters, two of which are totally free, due to the translation invariance, and the other four of which only need to satisfy the presented sufficient and necessary conditions. Their three-dimensional plots with particular choices of the involved parameters are made to show energy distribution.</description><subject>Computation</subject><subject>Energy distribution</subject><subject>Invariance</subject><subject>Localization</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Parameters</subject><subject>Three dimensional</subject><subject>Translations</subject><issn>0924-090X</issn><issn>1573-269X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNptj01LAzEYhIMoWKs_wFvAi5fom-_kqMUvLOhBoeBqiUlWWra7282mIOJ_d1FP4mmYmYeBQeiQwgkF0KeJUtCUAJWESW6J2kIjKjUnTNnZNhqBZYKAhdku2ktpCQCcgRmhl2letTg1Ve4XTZ1w3-CwWMU6Dc5V1TvuYsg-Blw8FRvXbaL_aD-LZ0zebu-xq__Jz4cirrP73ttHO6WrUjz41TF6vLx4mFyT6d3VzeRsSloqVE-slsZwbiEYSrkyhkrjuA42-jIqaZiXAgIVstSsDKXyYJ12r4pRUIz7ko_R8c9u2zXrHFM_Xy2Sj1Xl6tjkNKeGSSkkaDugR3_QZZO74WyaMyatkEIA418cCWPK</recordid><startdate>20160401</startdate><enddate>20160401</enddate><creator>Wen Xiu Ma</creator><creator>Qin, Zhenyun</creator><creator>Lü, Xing</creator><general>Springer Nature B.V</general><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>PRINS</scope><scope>PTHSS</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20160401</creationdate><title>Lump solutions to dimensionally reduced \[\varvec{p}\] -gKP and \[\varvec{p}\] -gBKP equations</title><author>Wen Xiu Ma ; Qin, Zhenyun ; Lü, Xing</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p146t-975883390d8113688158a37d9ecfe6582c540d145f72fdf6c09a7ab6210623cf3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Computation</topic><topic>Energy distribution</topic><topic>Invariance</topic><topic>Localization</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Parameters</topic><topic>Three dimensional</topic><topic>Translations</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wen Xiu Ma</creatorcontrib><creatorcontrib>Qin, Zhenyun</creatorcontrib><creatorcontrib>Lü, Xing</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central</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>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical &amp; Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts – Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Nonlinear dynamics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wen Xiu Ma</au><au>Qin, Zhenyun</au><au>Lü, Xing</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Lump solutions to dimensionally reduced \[\varvec{p}\] -gKP and \[\varvec{p}\] -gBKP equations</atitle><jtitle>Nonlinear dynamics</jtitle><date>2016-04-01</date><risdate>2016</risdate><volume>84</volume><issue>2</issue><spage>923</spage><epage>931</epage><pages>923-931</pages><issn>0924-090X</issn><eissn>1573-269X</eissn><abstract>Based on generalized bilinear forms, lump solutions, rationally localized in all directions in the space, to dimensionally reduced p-gKP and p-gBKP equations in (2+1)-dimensions are computed through symbolic computation with Maple. The sufficient and necessary conditions to guarantee analyticity and rational localization of the solutions are presented. The resulting lump solutions contain six parameters, two of which are totally free, due to the translation invariance, and the other four of which only need to satisfy the presented sufficient and necessary conditions. Their three-dimensional plots with particular choices of the involved parameters are made to show energy distribution.</abstract><cop>Dordrecht</cop><pub>Springer Nature B.V</pub><doi>10.1007/s11071-015-2539-6</doi><tpages>9</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0924-090X
ispartof Nonlinear dynamics, 2016-04, Vol.84 (2), p.923-931
issn 0924-090X
1573-269X
language eng
recordid cdi_proquest_miscellaneous_1825545079
source Springer Nature
subjects Computation
Energy distribution
Invariance
Localization
Mathematical analysis
Mathematical models
Parameters
Three dimensional
Translations
title Lump solutions to dimensionally reduced \[\varvec{p}\] -gKP and \[\varvec{p}\] -gBKP equations
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-30T21%3A21%3A44IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Lump%20solutions%20to%20dimensionally%20reduced%20%5C%5B%5Cvarvec%7Bp%7D%5C%5D%20-gKP%20and%20%5C%5B%5Cvarvec%7Bp%7D%5C%5D%20-gBKP%20equations&rft.jtitle=Nonlinear%20dynamics&rft.au=Wen%20Xiu%20Ma&rft.date=2016-04-01&rft.volume=84&rft.issue=2&rft.spage=923&rft.epage=931&rft.pages=923-931&rft.issn=0924-090X&rft.eissn=1573-269X&rft_id=info:doi/10.1007/s11071-015-2539-6&rft_dat=%3Cproquest%3E2259454402%3C/proquest%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-p146t-975883390d8113688158a37d9ecfe6582c540d145f72fdf6c09a7ab6210623cf3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2259454402&rft_id=info:pmid/&rfr_iscdi=true