4.7 Article

Symmetry analysis and conservation laws for the class of time-fractional nonlinear dispersive equation

Journal

NONLINEAR DYNAMICS
Volume 82, Issue 1-2, Pages 281-287

Publisher

SPRINGER
DOI: 10.1007/s11071-015-2156-4

Keywords

Time-fractional nonlinear dispersive equation; Lie symmetry method; Conservation laws

Funding

  1. Research Project of China Scholarship Council [201406030057]
  2. National Natural Science Foundation of China (NNSFC) [11171022]
  3. Graduate Student Science and Technology Innovation Activities of Beijing Institute of Technology [2014cx10037]

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In this paper, we derive the complete algebra of Lie point symmetries for the class of time-fractional nonlinear dispersive equation. By means of the classical Lie symmetry method, the associated vector fields are obtained which in turn are utilized for the reduction of the equation. In particular, the conservation laws of the equation are obtained.

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