| HBK方程的达布变换及其孤子解 |
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| 引用本文： | 郭汉东,程建玲.HBK方程的达布变换及其孤子解[J].江西科学,2010,28(6):731-734. |
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| 作者姓名： | 郭汉东 程建玲 |
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| 作者单位： | [1]郑州大学西亚斯国际学院,河南新郑451150 [2]郑州华信学院,河南新郑451100 |
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| 基金项目： | 郑州大学西亚斯国际学院青年项目 |
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| 摘 要： | 孤子方程是非线性科学领域中很有潜力的研究课题。根据HBK方程的Lax对,借助HBK方程的谱问题和规范变换,构造出一个含多参数的达布变换。通过此变换,最终求得HBK方程的孤子解,并且讨论了N=1和N=2两种孤子解的情况。
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| 关 键 词： | HBK方程 达布变换 孤子解 |
Darboux Transformation of HBK Equation and Its Solition Solutions |
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| GUO Han-dong,CHENG Jian-ling.Darboux Transformation of HBK Equation and Its Solition Solutions[J].Jiangxi Science,2010,28(6):731-734. |
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| Authors: | GUO Han-dong CHENG Jian-ling |
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| Institution: | 1.Sias Iternational College of Zhengzhou University,Henan Xinzheng 451150 PRC;2.Huaxin College of Zhengzhou,Henan Xinzheng 451100 PRC) |
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| Abstract: | Solition equation is a very potential subject for research in the domain of nonlinear science.Based on the resulving Lax pairs of HBK equation,vary through table question and norm transformation of HBK equation,a darboux transformation of parameters is structured.In the end,we obtained the solition solutions and discussed N=1 and N=2 two cases of solition solutions. |
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| Keywords: | HBK equation Darboux transformation Solition solutions |
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