| 变系数Boussinesq型方程的Darboux变换及其精确解 |
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| 引用本文： | 杨苗苗,李雪梅,王涛.变系数Boussinesq型方程的Darboux变换及其精确解[J].河南师范大学学报(自然科学版),2011,39(3):13-15. |
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| 作者姓名： | 杨苗苗 李雪梅 王涛 |
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| 作者单位： | 郑州大学数学系,郑州,4500001 |
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| 摘 要： | 变系数Boussinesq型方程在某种约束下与变系数Broer-Kaup-Kupershmidt方程之间的关系,通过构造变系数Broer-Kaup-Kupershmidt方程的Darboux变换并应用Darboux变换得到变系数Boussinesq型方程的孤子解.
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| 关 键 词： | 变系数Boussinesq型方程 Darboux变换 孤子解 |
Darboux Transformations of a Boussinesq-like Soliton Equation and Its Exact Solutions |
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| YANG Miao-miao,LI Xue-mei,WANG Tao.Darboux Transformations of a Boussinesq-like Soliton Equation and Its Exact Solutions[J].Journal of Henan Normal University(Natural Science),2011,39(3):13-15. |
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| Authors: | YANG Miao-miao LI Xue-mei WANG Tao |
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| Institution: | YANG Miao-miao,LI Xue-mei,WANG Tao(Department of Mathematics,Zhengzhou University,Zhengzhou 450001,China) |
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| Abstract: | The research presents a variable-coefficient Boussinesq-like(vcB) equation.Connection between the vcB equation and a variable-coefficient Broer-Kaup-Kupershmidt(vcBKK) equation is revealed under certain constraints.The Darboux transformation for vcBKK equation is constructed with the help of a gauge transformation.As an application,soliton solutions of the vcB equation are given. |
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| Keywords: | variable-coefficient Boussinesq-like(vcvB) equation Darboux transformation soliton solution |
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