Lie symmetries and conservation laws for the time fractional Derrida-Lebowitz-Speer-Spohn equation
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- 作者：Wenjuan Rui ; ruiwj@126.com" class="auth_mail" title="E-mail the corresponding author ; Xiangzhi Zhang
- 关键词：Time fractional Derrida&ndash ; Lebowitz&ndash ; Speer&ndash ; Spohn equation ; Lie symmetry ; Conservation law
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2016
- 出版时间：May 2016
- 年：2016
- 卷：34
- 期：Complete
- 页码：38-44
- 全文大小：339 K
文摘
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By using the Lie group analysis method of fractional differential equations, we derive Lie symmetries for the time fractional Derrida–Lebowitz–Speer–Spohn (FDLSS) equation with Riemann–Liouville derivative.
In a particular case of scaling transformations, we transform the FDLSS equation into a nonlinear ordinary fractional differential equation.
Based on the new conservation laws theorem and the fractional generalization of the Noether operators, we derived conservation laws for the FDLSS equation.