| 一族Liouville可积孤子方程及其守恒律 |
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| 引用本文： | 唐雷雨,李雪花.一族Liouville可积孤子方程及其守恒律[J].鲁东大学学报,2010,26(1):13-15,69. |
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| 作者姓名： | 唐雷雨 李雪花 |
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| 作者单位： | [1]山东科技大学信息科学与工程学院,山东青岛266510 [2]山东科技大学理学院,山东青岛266510 |
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| 基金项目： | 山东科技大学"春蕾计划"资助项目 |
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| 摘 要： | 针对含一个位势的谱问题,得出了其Lax可积方程族,根据迹恒等式得出其Hamilton结构,并给出了其无穷多守恒律.
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| 关 键 词： | 孤子方程 迹恒等式 Hamilton系统 守恒律 |
A Family of Liouville Integrable Soliton Equations and Its Conservation Laws |
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| TANG Lei-yu a,b,LI Xue-hua a.A Family of Liouville Integrable Soliton Equations and Its Conservation Laws[J].Ludong University Journal (Natural Science Edition),2010,26(1):13-15,69. |
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| Authors: | TANG Lei-yu a b LI Xue-hua a |
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| Institution: | TANG Lei-yu a,b,LI Xue-hua a(Sh,ong University of Science , Technology,a.College of Information Science , Engineering,b.College of Science,Qingdao 266510,China) |
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| Abstract: | Starting from the spectral problem which contains only one potential,the hierarchy of equation in Lax sense is obtained.According to the trace identity,the Hamiltonian structure of the equation and infinitely many conservation laws are given. |
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| Keywords: | soliton equation trace identity Hamiltonian system conservation laws |
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