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时间分数阶Cahn-Allen方程的李对称解(英文)
Lie symmetries solutions for time fractional Cahn-Allen equation
【摘要】 利用Lie对称群方法对时间分数阶Cahn-Allen方程进行了研究,得到了一些Lie对称研究的应用之一。得到了该方程的二阶扩展形式,计算出了对应的向量场。最后,通过应用向量场,对应的约化方程被得到。
【Abstract】 The research of time fractional Cahn-Allen equation are done by the Lie group analysis and some Lie symmetries of the equation are obtained. The Lie symmetry analysis is studied for time fractional Cahn-Allen equation that is one of the applications of symmetries. First, we obtain the two order extension of the equation, and then we compute the vector field corresponding to it. Finally, we obtain a reduced equation by using the vector field.
【关键词】 时间分数Cahn-Allen方程;
李对称;
分数李群方法;
【Key words】 time fractional Cahn-Allen equation; Lie symmetry; fractional Lie group method;
【Key words】 time fractional Cahn-Allen equation; Lie symmetry; fractional Lie group method;
【基金】 Supported by the Natural Science Foundation of Heilongjiang Province(HDRCCX-201615)
- 【文献出处】 黑龙江大学自然科学学报 ,Journal of Natural Science of Heilongjiang University , 编辑部邮箱 ,2019年06期
- 【分类号】O175.2
- 【下载频次】45