| 2+1维变形Boussinesq方程的达布变换和精确解 |
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| 引用本文： | 刘玉晓,马戈.2+1维变形Boussinesq方程的达布变换和精确解[J].河南科学,2010,28(8):907-910. |
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| 作者姓名： | 刘玉晓 马戈 |
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| 作者单位： | 1. 河南城建学院,数理系,河南,平顶山,467001
2. 南阳理工学院,数学系,河南,南阳,473004 |
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| 摘 要： | 从一个变形Bousinessq谱问题出发利用映射方法推导出了它的孤子方程族,其中由前两个非平凡的孤子方程导出了一个新的(2+1)维耦合变形Bousinessq方程和与此相关Lax对.然后构造了Lax对的达布阵,并利用达布变换成功地获得了变形Bousinessq方程的精确解.
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| 关 键 词： | 变形Boussinesq方程 达布变换 精确解 |
Darboux Transformation and Exact Solutions of Variant Boussinesq Equation |
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| Liu Yuxiao,Ma Ge.Darboux Transformation and Exact Solutions of Variant Boussinesq Equation[J].Henan Science,2010,28(8):907-910. |
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| Authors: | Liu Yuxiao Ma Ge |
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| Institution: | 1.Departmant of Mathematics and Physics,Henan University of Urban Construction,Pingdingshan 467001,Henan China;2.Department of Mathematics,Nanyang Institute of Technology,Nanyang 473004,Henan China) |
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| Abstract: | A hierarchy of a variant Boussinesq equation is studied by mean of mapping method.A new（2＋1） dimensional variant Boussinesq equation with its Lax pair was obtained.A Darboux transformation is constructed by means of the Lax pair.Some new kinds exact solutions are obtained. |
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| Keywords: | variant boussinesq equation Darboux transformation exact solution |
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