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| 2＋1维Levi孤子方程的达布变换及精确解 | |
| 引用本文： | 闵迪,冯滨鲁. 2＋1维Levi孤子方程的达布变换及精确解[J]. 潍坊学院学报, 2009, 9(4): 57-61 |
| 作者姓名： | 闵迪 冯滨鲁 |
| 作者单位： | 闵迪(辽宁师范大学,辽宁,大连,116029);冯滨鲁(潍坊学院,山东,潍坊,261061) |
| 摘 要： | 达布变换是获得孤子方程精确解十分有效的方法。本文利用谱问题的规范变换,为2＋1维Levi孤子方程建立了达布变换,从而利用达布变换得到其精确解,且Levi孤子方程精确解的前两个例子被给出。 |
| 关 键 词： | 达布变换 精确解 Levi孤子方程 |
Darboux Transformation and Exact Solutions of the (2+1)-dimensional Levi Soliton Equations |
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| Affiliation: | MIN Di, FENG Bin--lu (1 . Liaoning Normal University, Dalian 116029,China; 2 . Weifang University, Weifang 261061, China) |
| Abstract: | Darboux transformation is a very useful method for obtaining exact solutions of soliton equations. In the paper, by making use of gauge transformation of the spectral problem, we construct the Darboux transformation for the （2＋1）- dimensional Levi soliton equations, and the Darboux transformation method is used to find the exact solutions. We list the first two solutions of the Levi soliton equations |
| Keywords: | darboux transformation exact solutions levi soliton equations |
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