| Exact solutions and localized excitations of a （3＋ 1）-dimensional Gross-Pitaevskii system |
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| 引用本文： | 费金喜,郑春龙.Exact solutions and localized excitations of a （3＋ 1）-dimensional Gross-Pitaevskii system[J].中国物理 B,2012(7):113-119. |
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| 作者姓名： | 费金喜 郑春龙 |
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| 作者单位： | [1]School of Physics and Electromechanical Engineering, Shaoguan University, Shaoguan 512005, China [2]Faculty of Science, Lishui University, Lishui 323000, China [3]Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China （Grant No. 11172181）, the Natural Science Foundation of Guangdong Province, China （Grant No. 10151200501000008）, the Special Foundation of Talent Engineering of Guangdong Province, China （Grant No.2009109）, and the Scientific Research Foundation of Key Discipline of Shaoguan University, China （Grant No. ZD2009001）. |
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| 摘 要： | Periodic wave solutions and solitary wave solutions to a generalized (3+1)-dimensional Gross-Pitaevskii equation with time-modulated dispersion, nonlinearity, and potential are derived in terms of an improved homogeneous balance principle and a mapping approach. These exact solutions exist under certain conditions via imposing suitable constraints on the functions describing dispersion, nonlinearity, and potential. The dynamics of the derived solutions can be manipulated by prescribing specific time-modulated dispersions, nonlinearities, and potentials. The results show that the periodic waves and solitary waves with novel behaviors are similar to the similaritons reported in other nonlinear systems.
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| 关 键 词： | Gross–Pitaevskii system mapping approach exact solution localized excitation |
Exact solutions and localized excitations of a （3＋ 1）-dimensional Gross-Pitaevskii system |
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| Fei Jin-Xi and Zheng Chun-Long.Exact solutions and localized excitations of a （3＋ 1）-dimensional Gross-Pitaevskii system[J].Chinese Physics B,2012(7):113-119. |
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| Authors: | Fei Jin-Xi and Zheng Chun-Long |
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| Institution: | Fei Jin-Xi and Zheng Chun-Long( a) School of Physics and Electromechanical Engineering, Shaoguan University, Shaoguan 512005, Chi b) Faculty of Science, Lishui University, Lishui 323000, China c) Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China |
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| Abstract: | Periodic wave solutions and solitary wave solutions to a generalized (3+1)-dimensional Gross–Pitaevskii equation with time-modulated dispersion, nonlinearity, and potential are derived in terms of an improved homogeneous balance principle and a mapping approach. These exact solutions exist under certain conditions via imposing suitable constraints on the functions describing dispersion, nonlinearity, and potential. The dynamics of the derived solutions can be manipulated by prescribing specific time-modulated dispersions, nonlinearities, and potentials. The results show that the periodic waves and solitary waves with novel behaviors are similar to the similaritons reported in other nonlinear systems. |
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| Keywords: | Gross-Pitaevskii systeln mapping approach exact solution localized excitation |
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