期刊
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
卷 34, 期 -, 页码 38-44出版社
ELSEVIER
DOI: 10.1016/j.cnsns.2015.10.004
关键词
Time fractional; Derrida-Lebowitz-Speer-Spohn equation; Lie symmetry; Conservation law
类别
资金
- Fundamental Research Funds for the Central Universities [2015QNA50]
This paper investigates the invariance properties of the time fractional Derrida-Lebowitz-Speer-Spohn (FDLSS) equation with Riemann-Liouville derivative. By using the Lie group analysis method of fractional differential equations, we derive Lie symmetries for the FDLSS equation. In a particular case of scaling transformations, we transform the FDLSS equation into a nonlinear ordinary fractional differential equation. Conservation laws for this equation are obtained with the aid of the new conservation theorem and the fractional generalization of the Noether operators. (C) 2015 Elsevier B.V. All rights reserved.
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