Exact compacton and generalized kink wave solutions of the extended reduced Ostrovsky equation
The extended reduced Ostrovsky equation (EX-ROE) are investigated by using the bifurcation method of planar systems and simulation method of differential equations. The bifurcation phase portraits are drawn in different regions of parameter plane. The planar graphs of the compactons and the generali...
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Veröffentlicht in: | Communications in nonlinear science & numerical simulation 2009-09, Vol.14 (9-10), p.3561-3573 |
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description | The extended reduced Ostrovsky equation (EX-ROE) are investigated by using the bifurcation method of planar systems and simulation method of differential equations. The bifurcation phase portraits are drawn in different regions of parameter plane. The planar graphs of the compactons and the generalized kink waves are simulated by using software Maple. Exact explicit parameter expressions of the compactons and implicit expressions of the generalized kink wave solutions are given. The dynamic behavior of these solutions are also investigated. |
doi_str_mv | 10.1016/j.cnsns.2009.02.001 |
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The bifurcation phase portraits are drawn in different regions of parameter plane. The planar graphs of the compactons and the generalized kink waves are simulated by using software Maple. Exact explicit parameter expressions of the compactons and implicit expressions of the generalized kink wave solutions are given. The dynamic behavior of these solutions are also investigated.</description><subject>Compactons</subject><subject>Extended reduced Ostrovsky equation</subject><subject>Generalized kink waves</subject><subject>Heteroclinic orbits</subject><subject>Open orbits</subject><issn>1007-5704</issn><issn>1878-7274</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><recordid>eNp9kD9PwzAQxS0EEqXwCVg8sSXYiWsnAwOqyh-pEgusWI5zAbep3dpOafn0uJSZ6d3we3f3HkLXlOSUUH67yLUNNuQFIXVOipwQeoJGtBJVJgrBTtNMiMgmgrBzdBHCIgG8nrARep_tlI5Yu9U6qbNY2RZ_gAWvevMNLV4au8Rfags4uH6IxtmAXYfjJ2DYRbBtYjy0g076EqJ327DcY9gM6sBeorNO9QGu_nSM3h5mr9OnbP7y-Dy9n2e6LFnMFO8KTqq6EW2nOBQNr2uqWUs0LRSpJlBTNamgAMY449Dw9H_VNbTWlShZw8oxujnuXXu3GSBEuTJBQ98rC24IsmSlYFSIBJZHUHsXgodOrr1ZKb-XlMhDl3Ihf7uUhy4lKWQ6lVx3RxekDFsDXgZtwKbMxoOOsnXmX_8PxiF_uA</recordid><startdate>20090901</startdate><enddate>20090901</enddate><creator>Xie, Shaolong</creator><creator>Cai, Jionghui</creator><general>Elsevier B.V</general><scope>AAYXX</scope><scope>CITATION</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>20090901</creationdate><title>Exact compacton and generalized kink wave solutions of the extended reduced Ostrovsky equation</title><author>Xie, Shaolong ; Cai, Jionghui</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c334t-a6f26089b7dfa6e2b6991c4d0c12a085e91a58e2e44646eb60018fb19c8734b43</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Compactons</topic><topic>Extended reduced Ostrovsky equation</topic><topic>Generalized kink waves</topic><topic>Heteroclinic orbits</topic><topic>Open orbits</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Xie, Shaolong</creatorcontrib><creatorcontrib>Cai, Jionghui</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & 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>Communications in nonlinear science & numerical simulation</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Xie, Shaolong</au><au>Cai, Jionghui</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Exact compacton and generalized kink wave solutions of the extended reduced Ostrovsky equation</atitle><jtitle>Communications in nonlinear science & numerical simulation</jtitle><date>2009-09-01</date><risdate>2009</risdate><volume>14</volume><issue>9-10</issue><spage>3561</spage><epage>3573</epage><pages>3561-3573</pages><issn>1007-5704</issn><eissn>1878-7274</eissn><abstract>The extended reduced Ostrovsky equation (EX-ROE) are investigated by using the bifurcation method of planar systems and simulation method of differential equations. The bifurcation phase portraits are drawn in different regions of parameter plane. The planar graphs of the compactons and the generalized kink waves are simulated by using software Maple. Exact explicit parameter expressions of the compactons and implicit expressions of the generalized kink wave solutions are given. The dynamic behavior of these solutions are also investigated.</abstract><pub>Elsevier B.V</pub><doi>10.1016/j.cnsns.2009.02.001</doi><tpages>13</tpages></addata></record> |
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subjects | Compactons Extended reduced Ostrovsky equation Generalized kink waves Heteroclinic orbits Open orbits |
title | Exact compacton and generalized kink wave solutions of the extended reduced Ostrovsky equation |
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