Rogue Waves of Nonlinear Schrödinger Equation with Time-Dependent Linear Potential Function
The rogue waves of the nonlinear Schrödinger equation with time-dependent linear potential function are investigated by using the similarity transformation in this paper. The first-order and second-order rogue waves solutions are obtained and the nonlinear dynamic behaviors of these solutions are di...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/7879517 |
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| _version_ | 1832554566752665600 |
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| author | Ni Song Yakui Xue |
| author_facet | Ni Song Yakui Xue |
| author_sort | Ni Song |
| collection | DOAJ |
| description | The rogue waves of the nonlinear Schrödinger equation with time-dependent linear potential function are investigated by using the similarity transformation in this paper. The first-order and second-order rogue waves solutions are obtained and the nonlinear dynamic behaviors of these solutions are discussed in detail. In addition, the amplitudes of the rogue waves under the effect of the gravity field and external magnetic field changing with the time are analyzed by using numerical simulation. The results can be used to study the matter rogue waves in the Bose-Einstein condensates and other fields of nonlinear science. |
| format | Article |
| id | doaj-art-5acd1136d44c47b980c31dfaa398e95f |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-5acd1136d44c47b980c31dfaa398e95f2025-02-03T05:51:09ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/78795177879517Rogue Waves of Nonlinear Schrödinger Equation with Time-Dependent Linear Potential FunctionNi Song0Yakui Xue1Department of Mathematics, North University of China, Taiyuan, Shanxi 030051, ChinaDepartment of Mathematics, North University of China, Taiyuan, Shanxi 030051, ChinaThe rogue waves of the nonlinear Schrödinger equation with time-dependent linear potential function are investigated by using the similarity transformation in this paper. The first-order and second-order rogue waves solutions are obtained and the nonlinear dynamic behaviors of these solutions are discussed in detail. In addition, the amplitudes of the rogue waves under the effect of the gravity field and external magnetic field changing with the time are analyzed by using numerical simulation. The results can be used to study the matter rogue waves in the Bose-Einstein condensates and other fields of nonlinear science.http://dx.doi.org/10.1155/2016/7879517 |
| spellingShingle | Ni Song Yakui Xue Rogue Waves of Nonlinear Schrödinger Equation with Time-Dependent Linear Potential Function Discrete Dynamics in Nature and Society |
| title | Rogue Waves of Nonlinear Schrödinger Equation with Time-Dependent Linear Potential Function |
| title_full | Rogue Waves of Nonlinear Schrödinger Equation with Time-Dependent Linear Potential Function |
| title_fullStr | Rogue Waves of Nonlinear Schrödinger Equation with Time-Dependent Linear Potential Function |
| title_full_unstemmed | Rogue Waves of Nonlinear Schrödinger Equation with Time-Dependent Linear Potential Function |
| title_short | Rogue Waves of Nonlinear Schrödinger Equation with Time-Dependent Linear Potential Function |
| title_sort | rogue waves of nonlinear schrodinger equation with time dependent linear potential function |
| url | http://dx.doi.org/10.1155/2016/7879517 |
| work_keys_str_mv | AT nisong roguewavesofnonlinearschrodingerequationwithtimedependentlinearpotentialfunction AT yakuixue roguewavesofnonlinearschrodingerequationwithtimedependentlinearpotentialfunction |