2007•Chinese Journal of PhysicsRequires access
The Modified Toda Lattice Equation in (2+1)-Dimensions and an Infinite Number of Conservation Laws
Hongxiang Yang, Jun Du
Open publisher page 0 citations
Abstract
By considering a discrete isospectral problem, a whole integrable lattice soliton hierarchy is derived. The modified Toda lattice in (2+1)-dimensions is obtained from the integrable positive and negative lattice equations. A direct method of constructing conservation laws for (2+1)-dimensional lattice equations based on associated matrix spectral problems is proposed, by means of which the conservation laws of the (2+1)-dimensional modified Toda lattice are deduced.