| New Exact Solutions of the N-Coupled Nonlinear Schroedinger System |
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| 作者姓名： | SHEN Shou-Feng ZHANG Jun YE Cai-Er PAN Zu-Liang |
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| 作者单位： | [1]Department of Mathematics, Zhejiang University of Technology, Hangzhou 310014, China [2]Basic Department, Zhejiang Forestry College, Lin＇an 311300, China [3]Department of Mathematics, Zhejiang University, Hangzhou 310027, China |
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| 基金项目： | The project partially supported by the Foundation of Zhejiang University of Technology, the Education Foundation of Zhejiang Province of China under Grant No. 2003055, and the Foundation of Zhejiang Forestry College under Grant No. 2002FK15 Acknowledgments We would like to express our sincere thanks to the referees for useful suggestion and timely help. |
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| 摘 要： | In this letter, abundant families of Jacobi elliptic function envelope solutions of the N-coupled nonlinear Schroedinger （NLS） system are obtained directly. When the modulus m → 1, those periodic solutions degenerate as the corresponding envelope soliton solutions, envelope shock wave solutions. Especially, for the 3-coupled NLS system, five types of Jacobi elliptic function envelope solutions are illustrated both analytically and graphically. Two types of those degenerate as envelope soliton solutions.
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| 关 键 词： | 非线性Schroedinger系统 精确解 Jacobi椭圆方程 孤立波 周期解 |
| 收稿时间： | 2004-10-19 |
| 修稿时间： | 2004-10-192004-12-20 |
New Exact Solutions of the N-Coupled Nonlinear Schroedinger System |
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| SHEN Shou-Feng ZHANG Jun YE Cai-Er PAN Zu-Liang.New Exact Solutions of the N-Coupled Nonlinear Schroedinger System[J].Communications in Theoretical Physics,2005,44(4):604-608. |
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| Authors: | SHEN;Shou-Feng;ZHANG;Jun;YE;Cai-Er;PAN;Zu-Liang |
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| Abstract: | |
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| Keywords: | nonlinear Schroedinger system exact solution Jacobi elliptic function soliton |
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