| 孤子方程的N波Darboux变换及其孤子解 |
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| 引用本文： | 韩冰冰. 孤子方程的N波Darboux变换及其孤子解[J]. 辽宁工学院学报, 2011, 0(1): 58-63 |
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| 作者姓名： | 韩冰冰 |
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| 作者单位： | 辽宁师范大学数学学院,辽宁大连116029 |
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| 摘 要： | 孤子方程在自然科学的研究中占有非常重要的部分,孤立子理论研究中的Darboux变换法是其中一个重要的热点内容,孤子解的获得在应用和研究中都具有重要的意义。基于等谱问题的规范变换,运用Darboux变换法,建立了一个孤子方程的多参数N-波Darboux变换,求出了该方程的孤子解.并且讨论了N=1和N=2两种孤子解的情形。
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| 关 键 词： | 色散长水波方程 Darboux变换 精确解 |
N-fold Darboux Transformation of Soliton Equation and Its Soliton Solutions |
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| HAN Bing-bing. N-fold Darboux Transformation of Soliton Equation and Its Soliton Solutions[J]. Journal of Liaoning Institute of Technology(Natural Science Edition), 2011, 0(1): 58-63 |
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| Authors: | HAN Bing-bing |
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| Affiliation: | HAN Bing-bing(School of Mathematics,Liaoning Normal University,Dalian 116029,China) |
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| Abstract: | Soliton equation in the natural science research plays a very important part.The Darboux transformation of the soliton theory is the important burning topic.Solving soliton equation is of much importance in application and research.Based on a gauge transformation of a spectral problem,using Darboux transformation method,a N-fold Darboux transformation with multi-parameters for a soliton equation was established.Furthermore,the soliton solutions of the equation were found and consequently N=1 and N=2,these two cases were also discussed. |
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| Keywords: | dispersion long wave equation Darboux transformation exact solution |
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