Conservation laws for a class of nonlinear equations with variable coefficients on discrete and noncommutative spaces

摘要

The conservation laws for a class of nonlinear equations with variablecoefficients on discrete and noncommutative spaces are derived. For discretemodels the conserved charges are constructed explicitly. The applications ofthe general method include equations on quantum plane, supersymmetric equationsfor chiral and antichiral supermultiplets as well as auxiliary equations ofintegrable models - principal chiral model and various cases of nonlinear Todalattice equations.