Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation
We use the bifurcation method of dynamical systems to study the periodic wave solutions and their limits for the generalized KP-BBM equation. A number of explicit periodic wave solutions are obtained. These solutions contain smooth periodic wave solutions and periodic blow-up solutions. Their limits...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/363879 |
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| _version_ | 1832563385767559168 |
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| author | Ming Song Zhengrong Liu |
| author_facet | Ming Song Zhengrong Liu |
| author_sort | Ming Song |
| collection | DOAJ |
| description | We use the bifurcation method of dynamical systems to study the periodic wave solutions and their limits for the generalized KP-BBM equation. A number of explicit periodic wave solutions are obtained. These solutions contain smooth periodic wave solutions and periodic blow-up solutions. Their limits contain periodic wave solutions, kink wave solutions, unbounded wave solutions, blow-up wave solutions, and solitary wave solutions. |
| format | Article |
| id | doaj-art-cfc97380c3eb455dbe7c40b5da797259 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-cfc97380c3eb455dbe7c40b5da7972592025-02-03T01:20:26ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/363879363879Periodic Wave Solutions and Their Limits for the Generalized KP-BBM EquationMing Song0Zhengrong Liu1Department of Mathematics, South China University of Technology, Guangzhou 510640, ChinaDepartment of Mathematics, South China University of Technology, Guangzhou 510640, ChinaWe use the bifurcation method of dynamical systems to study the periodic wave solutions and their limits for the generalized KP-BBM equation. A number of explicit periodic wave solutions are obtained. These solutions contain smooth periodic wave solutions and periodic blow-up solutions. Their limits contain periodic wave solutions, kink wave solutions, unbounded wave solutions, blow-up wave solutions, and solitary wave solutions.http://dx.doi.org/10.1155/2012/363879 |
| spellingShingle | Ming Song Zhengrong Liu Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation Journal of Applied Mathematics |
| title | Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation |
| title_full | Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation |
| title_fullStr | Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation |
| title_full_unstemmed | Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation |
| title_short | Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation |
| title_sort | periodic wave solutions and their limits for the generalized kp bbm equation |
| url | http://dx.doi.org/10.1155/2012/363879 |
| work_keys_str_mv | AT mingsong periodicwavesolutionsandtheirlimitsforthegeneralizedkpbbmequation AT zhengrongliu periodicwavesolutionsandtheirlimitsforthegeneralizedkpbbmequation |