Lie Symmetry Analysis of the Inhomogeneous Toda Lattice Equation via Semi-Discrete Exterior Calculus
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摘要:
In this work,the Lie point symmetries of the inhomogeneous Toda lattice equation are obtained by semi-discrete exterior calculus,which is a semi-discrete version of Harrison and Estabrook's geometric approach.A four-dimensional Lie algebra and its one-,two-and three-dimensional subalgebras are given.Two similarity reductions of the inhomogeneous Toda lattice equation are obtained by using the symmetry vectors.