| 扩展双曲函数级数方法和NLS方程的显式精确解 |
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| 引用本文： | 郑春龙,蔡红颖. 扩展双曲函数级数方法和NLS方程的显式精确解[J]. 怀化学院学报, 2002, 21(2): 20-24 |
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| 作者姓名： | 郑春龙 蔡红颖 |
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| 作者单位： | 1. 丽水师专,物理系,浙江,丽水,323000;浙江师范大学,非线性物理研究室,浙江,金华,321004
2. 金华教育学院,物理系,浙江,金华,321000 |
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| 摘 要： | 运用一种新的双曲截断展开方法 ,求得了非线性Schr dinger (NLS)方程新的显式精确解 ,其中包括孤子解、行波解和关于时间t的奇异解 ,并对求解中可能出现的一般性问题进行了讨论
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| 关 键 词： | 扩展的双曲函数级数方法 NLS方程 显式精确解 |
| 文章编号： | 1007-1814(2002)02-0020-05 |
| 修稿时间： | 2001-12-26 |
Extended Tanh- Function Expansion Method and New Explicit Exact Solutions of the NLS Equation |
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| ZHENG Chun-long,CAI Hong-ying. Extended Tanh- Function Expansion Method and New Explicit Exact Solutions of the NLS Equation[J]. Journal of Huaihua University, 2002, 21(2): 20-24 |
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| Authors: | ZHENG Chun-long CAI Hong-ying |
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| Abstract: | In this paper,the extended tanh-function expansion method was used for solving the NLS equation:iA t+12A xx -|A| 2A-EA=0,(E=const.),which has significant physical backgrounds.We have obtained eight types of nonequivalent exact solitary wave solutions and two kinds of singularity solutions of time t.Meanwhile we discuss the possible questions in the procedure of solving some nonlinear evolution equations by using this approach. |
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| Keywords: | extended tanh-function method NLS equation solitary wave solution |
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