| The extended symmetry approach for studying the general Korteweg-de Vries-type equation |
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| 作者姓名： | 李志芳 阮航宇 |
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| 作者单位： | Department of Physics, Ningbo University, Ningbo 315211, China;Department of Physics, Ningbo University, Ningbo 315211, China |
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| 基金项目： | Project supported by the National
Natural Science Foundation of China (Grant No.~10675065) and the
Scientific Research Fund of the Education Department of Zhejiang
Province of China (Grant No.~20070979). |
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| 摘 要： | The extended symmetry approach is used to study the general Korteweg-de Vries-type(KdV-type) equation.Several variable-coefficient equations are obtained.The solutions of these resulting equations can be constructed by the solutions of original models if their solutions are well known,such as the standard constant coefficient KdV equation and the standard compound KdV-Burgers equation,and so on.Then any one of these variable-coefficient equations can be considered as an original model to obtain new variable-coefficient equations whose solutions can also be known by means of transformation relations between solutions of the resulting new variable-coefficient equations and the original equation.
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| 关 键 词： | extended symmetry approach general Korteweg-de Vries-type(KdV-type) equation variable-coefficient equation |
| 收稿时间： | 8/8/2009 12:00:00 AM |
| 修稿时间： | 9/8/2009 12:00:00 AM |
The extended symmetry approach for studying the general Korteweg-de Vries-type equation |
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| Li Zhi-Fang and Ruan Hang-Yu.The extended symmetry approach for studying the general Korteweg-de Vries-type equation[J].Chinese Physics B,2010,19(4):40201-040201. |
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| Authors: | Li Zhi-Fang and Ruan Hang-Yu |
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| Affiliation: | Department of Physics, Ningbo University, Ningbo 315211, China |
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| Abstract: | The extended symmetry approach is used to study the
general Korteweg-de Vries-type (KdV-type) equation. Several
variable-coefficient equations are obtained. The solutions of
these resulting equations can be constructed by the solutions of
original models if their solutions are well known, such as the
standard constant coefficient KdV equation and the standard compound
KdV--Burgers equation, and so on. Then any one of these
variable-coefficient equations can be considered as an original
model to obtain new variable-coefficient equations whose solutions
can also be known by means of transformation relations between
solutions of the resulting new variable-coefficient equations and the
original equation. |
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| Keywords: | extended symmetry approach general Korteweg-de Vries-type
(KdV-type) equation variable-coefficient equation |
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