Solitary-wave propagation and interactions for a sixth-order generalized Boussinesq equation
We study the solitary waves and their interaction for a six-order generalized Boussinesq equation (SGBE) both numerically and analytically. A shooting method with appropriate initial conditions, based on the phase plane analysis around the equilibrium point, is used to construct the solitary-wave so...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.1435 |
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| _version_ | 1832545293991673856 |
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| author | Bao-Feng Feng Takuji Kawahara Taketomo Mitsui Youn-Sha Chan |
| author_facet | Bao-Feng Feng Takuji Kawahara Taketomo Mitsui Youn-Sha Chan |
| author_sort | Bao-Feng Feng |
| collection | DOAJ |
| description | We study the solitary waves and their interaction for a six-order generalized Boussinesq equation (SGBE) both numerically and analytically. A shooting method with appropriate initial conditions,
based on the phase plane analysis around the equilibrium point, is used to construct the solitary-wave solutions for this nonintegrable equation. A symmetric three-level implicit finite difference scheme with a free parameter θ is proposed to study the propagation and interactions of solitary waves. Numerical simulations show the propagation of a single solitary wave of SGBE, and two solitary waves pass by each other without changing their shapes in the head-on collisions. |
| format | Article |
| id | doaj-art-36c4e8fa285f4df99c9192d310d89b82 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-36c4e8fa285f4df99c9192d310d89b822025-02-03T07:26:13ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-01200591435144810.1155/IJMMS.2005.1435Solitary-wave propagation and interactions for a sixth-order generalized Boussinesq equationBao-Feng Feng0Takuji Kawahara1Taketomo Mitsui2Youn-Sha Chan3Department of Mathematics, The University of Texas – Pan American, Edinburg, TX 78541-2999, USADepartment of Aeronautics and Astronautics, Kyoto University, Kyoto 606-8501, JapanGraduate School of Human Informatics, Nagoya University, Nagoya 464-8601, JapanDepartment of Computer and Mathematical Sciences, University of Houston-Downtown, One Main Street, Houston, TX 77002-1001, USAWe study the solitary waves and their interaction for a six-order generalized Boussinesq equation (SGBE) both numerically and analytically. A shooting method with appropriate initial conditions, based on the phase plane analysis around the equilibrium point, is used to construct the solitary-wave solutions for this nonintegrable equation. A symmetric three-level implicit finite difference scheme with a free parameter θ is proposed to study the propagation and interactions of solitary waves. Numerical simulations show the propagation of a single solitary wave of SGBE, and two solitary waves pass by each other without changing their shapes in the head-on collisions.http://dx.doi.org/10.1155/IJMMS.2005.1435 |
| spellingShingle | Bao-Feng Feng Takuji Kawahara Taketomo Mitsui Youn-Sha Chan Solitary-wave propagation and interactions for a sixth-order generalized Boussinesq equation International Journal of Mathematics and Mathematical Sciences |
| title | Solitary-wave propagation and interactions for a sixth-order generalized Boussinesq equation |
| title_full | Solitary-wave propagation and interactions for a sixth-order generalized Boussinesq equation |
| title_fullStr | Solitary-wave propagation and interactions for a sixth-order generalized Boussinesq equation |
| title_full_unstemmed | Solitary-wave propagation and interactions for a sixth-order generalized Boussinesq equation |
| title_short | Solitary-wave propagation and interactions for a sixth-order generalized Boussinesq equation |
| title_sort | solitary wave propagation and interactions for a sixth order generalized boussinesq equation |
| url | http://dx.doi.org/10.1155/IJMMS.2005.1435 |
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