New Exact Solutions for High Dispersive Cubic-Quintic Nonlinear Schrödinger Equation
We study a class of high dispersive cubic-quintic nonlinear Schrödinger equations, which describes the propagation of femtosecond light pulses in a medium that exhibits a parabolic nonlinearity law. Applying bifurcation theory of dynamical systems and the Fan sub-equations method, more types of exac...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/826746 |
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| _version_ | 1832562294996860928 |
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| author | Yongan Xie Shengqiang Tang |
| author_facet | Yongan Xie Shengqiang Tang |
| author_sort | Yongan Xie |
| collection | DOAJ |
| description | We study a class of high dispersive cubic-quintic nonlinear Schrödinger equations, which describes the propagation of femtosecond light pulses in a medium that exhibits a parabolic nonlinearity law. Applying bifurcation theory of dynamical systems and the Fan sub-equations method, more types of exact solutions, particularly solitary wave solutions, are obtained for the first time. |
| format | Article |
| id | doaj-art-e2e4826ae4ac4d1da53d622f9884171f |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-e2e4826ae4ac4d1da53d622f9884171f2025-02-03T01:23:02ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/826746826746New Exact Solutions for High Dispersive Cubic-Quintic Nonlinear Schrödinger EquationYongan Xie0Shengqiang Tang1School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi 541004, ChinaSchool of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi 541004, ChinaWe study a class of high dispersive cubic-quintic nonlinear Schrödinger equations, which describes the propagation of femtosecond light pulses in a medium that exhibits a parabolic nonlinearity law. Applying bifurcation theory of dynamical systems and the Fan sub-equations method, more types of exact solutions, particularly solitary wave solutions, are obtained for the first time.http://dx.doi.org/10.1155/2014/826746 |
| spellingShingle | Yongan Xie Shengqiang Tang New Exact Solutions for High Dispersive Cubic-Quintic Nonlinear Schrödinger Equation Journal of Applied Mathematics |
| title | New Exact Solutions for High Dispersive Cubic-Quintic Nonlinear Schrödinger Equation |
| title_full | New Exact Solutions for High Dispersive Cubic-Quintic Nonlinear Schrödinger Equation |
| title_fullStr | New Exact Solutions for High Dispersive Cubic-Quintic Nonlinear Schrödinger Equation |
| title_full_unstemmed | New Exact Solutions for High Dispersive Cubic-Quintic Nonlinear Schrödinger Equation |
| title_short | New Exact Solutions for High Dispersive Cubic-Quintic Nonlinear Schrödinger Equation |
| title_sort | new exact solutions for high dispersive cubic quintic nonlinear schrodinger equation |
| url | http://dx.doi.org/10.1155/2014/826746 |
| work_keys_str_mv | AT yonganxie newexactsolutionsforhighdispersivecubicquinticnonlinearschrodingerequation AT shengqiangtang newexactsolutionsforhighdispersivecubicquinticnonlinearschrodingerequation |