Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 34, Issue -, Pages 38-44Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2015.10.004
Keywords
Time fractional; Derrida-Lebowitz-Speer-Spohn equation; Lie symmetry; Conservation law
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Funding
- Fundamental Research Funds for the Central Universities [2015QNA50]
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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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