Nonlinear mathematical models for physical phenomena
The paper focuses on methods which allow to directly finding traveling wave solutions for a specific class of partial differential equations. The key idea is the reduction of the initial equation to an ordinary differential equation by passing to the wave variable. An improvement to the classical ap...
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| creator | Constantinescu, Radu Iacobescu, Fanel Pauna, Alina |
| description | The paper focuses on methods which allow to directly finding traveling wave solutions for a specific class of partial differential equations. The key idea is the reduction of the initial equation to an ordinary differential equation by passing to the wave variable. An improvement to the classical approach, consisting in a supplementary reduction by attaching a flux type equation, is proposed. How this improved approach is working is illustrated on few nonlinear models describing physical phenomena. |
| doi_str_mv | 10.1063/1.5091249 |
| format | Conference Proceeding |
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How this improved approach is working is illustrated on few nonlinear models describing physical phenomena.</description><subject>Mathematical models</subject><subject>Ordinary differential equations</subject><subject>Partial differential equations</subject><subject>Reduction</subject><subject>Traveling waves</subject><issn>0094-243X</issn><issn>1551-7616</issn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2019</creationdate><recordtype>conference_proceeding</recordtype><recordid>eNp9kE9LxDAQxYMoWFcPfoOCN6FrJknz5yiLrsKiFwVvIW0S2qVtatIV9ttb3QVvXt7A4zczj4fQNeAlYE7vYFliBYSpE5RBWUIhOPBTlGGsWEEY_ThHFyltMSZKCJkh9hKGrh2ciXlvpsbN0tamy_tgXZdyH2I-Nvv0642NG0LvBnOJzrzpkrs6zgV6f3x4Wz0Vm9f18-p-U4ykpFNRcwEgHeZzhlIQUVV1Lbn3Vpqyks4LYqkEVoESnnLsBbYVs5YZ5RXjwtAFujncHWP43Lk06W3YxWF-qQlIThkAITN1e6BS3U5z_DDoMba9iXv9FaIGfWxEj9b_BwPWPxX-LdBvesZiJw</recordid><startdate>20190226</startdate><enddate>20190226</enddate><creator>Constantinescu, Radu</creator><creator>Iacobescu, Fanel</creator><creator>Pauna, Alina</creator><general>American Institute of Physics</general><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20190226</creationdate><title>Nonlinear mathematical models for physical phenomena</title><author>Constantinescu, Radu ; Iacobescu, Fanel ; Pauna, Alina</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p253t-c67118e067615727bbcc86ffd8a5b8ef72d3814b197f360f70db4dd4a9f9467a3</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Mathematical models</topic><topic>Ordinary differential equations</topic><topic>Partial differential equations</topic><topic>Reduction</topic><topic>Traveling waves</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Constantinescu, Radu</creatorcontrib><creatorcontrib>Iacobescu, Fanel</creatorcontrib><creatorcontrib>Pauna, Alina</creatorcontrib><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Constantinescu, Radu</au><au>Iacobescu, Fanel</au><au>Pauna, Alina</au><au>Varonov, Albert M.</au><au>Mishonov, Todor M.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Nonlinear mathematical models for physical phenomena</atitle><btitle>AIP conference proceedings</btitle><date>2019-02-26</date><risdate>2019</risdate><volume>2075</volume><issue>1</issue><issn>0094-243X</issn><eissn>1551-7616</eissn><coden>APCPCS</coden><abstract>The paper focuses on methods which allow to directly finding traveling wave solutions for a specific class of partial differential equations. 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| fulltext | fulltext |
| identifier | ISSN: 0094-243X |
| ispartof | AIP conference proceedings, 2019, Vol.2075 (1) |
| issn | 0094-243X 1551-7616 |
| language | eng |
| recordid | cdi_proquest_journals_2186341122 |
| source | AIP Journals Complete |
| subjects | Mathematical models Ordinary differential equations Partial differential equations Reduction Traveling waves |
| title | Nonlinear mathematical models for physical phenomena |
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