| New Doubly Periodic Waves of the （2＋1）-Dimensional Double Sine-Gordon Equation |
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| 引用本文： | 胡恒春 朱海东. New Doubly Periodic Waves of the （2＋1）-Dimensional Double Sine-Gordon Equation[J]. 中国物理快报, 2007, 24(1): 1-4 |
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| 作者姓名： | 胡恒春 朱海东 |
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| 作者单位： | [1]College of Science, University of Shanghai for Science and Technology, Shanghai 200093 [2]National Laboratory of High Power Laser and Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800 |
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| 基金项目： | Supported by the Foundation of Shanghai Education Committee for Shanghai Prospective Excellent Young Teachers （No 355876） and the National Natural Science Foundation of China under Grant No 10601033. The authors thank Professor S. Y. Lou for helpful discussion. |
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| 摘 要： | New exact solutions of the （2 ＋1）-dimensional double sine-Gordon equation are studied by introducing the modified mapping relations between the cubic nonlinear Klein-Gordon system and double sine-Gordon equation. Two arbitrary functions are included into the Jacobi elliptic function solutions. New doubly periodic wave solutions are obtained and displayed graphically by proper selections of the arbitrary functions.
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| 关 键 词： | 正弦方程式 周期 物理 波长 |
| 修稿时间： | 2006-09-13 |
New Doubly Periodic Waves of the (2+1)-Dimensional Double Sine-Gordon Equation |
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| HU Heng-Chun,ZHU Hai-Dong. New Doubly Periodic Waves of the (2+1)-Dimensional Double Sine-Gordon Equation[J]. Chinese Physics Letters, 2007, 24(1): 1-4 |
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| Authors: | HU Heng-Chun ZHU Hai-Dong |
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| Affiliation: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093National Laboratory of High Power Laser and Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800 |
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| Abstract: | New exact solutions of the (2+1)-dimensional double sine-Gordon equation are studied by introducing the modified mapping relations between the cubic nonlinear Klein--Gordon system and double sine-Gordon equation. Two arbitrary functions are included into the Jacobi elliptic function solutions. New doubly periodic wave solutions are obtained and displayed graphically by proper selections of the arbitrary functions. |
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| Keywords: | 02.30.Jr 02.30.Ik 05.45.Yv 11.10.Lm |
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