Lie Group Classifications and Stability of Exact Solutions for Multidimensional Landau-Lifshitz Equations ()
ABSTRACT
In this paper, based on classical Lie group method, we study
multi-dimensional Landau-Lifshitz equation, and get its infinitesimal
generator, symmetry group and new solutions. In particular, we build the
connection between new exact solutions and old exact solutions. At the same
time, we also prove that the initial boundary value condition of the
three-dimensional Landau-Lifshitz equation admits a unique solution and discuss
the stability of the solution.
Share and Cite:
Yu, J. , Li, F. , Yang, H. and Yang, G. (2016) Lie Group Classifications and Stability of Exact Solutions for Multidimensional Landau-Lifshitz Equations.
Applied Mathematics,
7, 665-680. doi:
10.4236/am.2016.77061.
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