2000/11/17 by M. Klimek, Małgorzata Klimek, Klimek, M.
Mathematics · Physics and Astronomy · #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #advanced mathematical theories #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.math-ph/0011030
arxiv created 2000/11/17 · arxiv updated 2009/11/30
The conservation laws for a class of nonlinear equations with variable coefficients on discrete and noncommutative spaces are derived. For discrete models the conserved charges are constructed explicitly. The applications of the general method include equations on quantum plane, supersymmetric equations for chiral and antichiral supermultiplets as well as auxiliary equations of integrable models - principal chiral model and various cases of nonlinear Toda lattice equations.