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.
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.
基金
Supported by National Natural Science Foundation of China under Grant Nos.11375030,11472315
Department of Science and Technology of Henan Province under Grant No.162300410223
Beijing Finance Funds of Natural Science Program for Excellent Talents under Grant No.2014000026833ZK19
