Complete group classification and exact solutions to the extended short pulse equation

Hanze Liu; Jibin Li; Lei Liu

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Complete group classification and exact solutions to the extended short pulse equation

机译：完整的组分类和扩展的短脉冲方程的精确解

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摘要

In this paper, the complete group classification is performed on the extended short pulse equation (ESPE), which including many important non-linear wave equations as its special cases. In the sense of geometric symmetry, all of the vector fields of the equation are obtained in terms of the arbitrary parameters of the equation. Furthermore, the symmetry reductions and exact solutions to the short pulse types of equations are investigated, and the physical significance of the solutions are considered from the transformation group point of view.

机译：在本文中，对扩展短脉冲方程（ESPE）进行了完整的组分类，其中包括许多重要的非线性波动方程作为特例。从几何对称的意义上讲，方程的所有矢量场都是根据方程的任意参数获得的。此外，研究了方程的短脉冲类型的对称性约简和精确解，并从变换群的角度考虑了解的物理意义。

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《International journal of non-linear mechanics》 |2012年第6期|p.694-698|共5页
作者
Hanze Liu; Jibin Li; Lei Liu;
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作者单位

Department of Mathematics, Binzhou University. Binzhou, Shandong 256603, China;

Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, China;

The Center for Economic Research, Shandong University, Ji'nan, Shandong 250100, China;

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正文语种 eng
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关键词
extended short pulse equation; lie group classification; symmetry reduction; exact solution;

机译：扩展的短脉冲方程;躺组分类;对称性降低确切的解决方案;

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Complete group classification and exact solutions to the extended short pulse equation

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