Extended Mixed Function Method and Its Application for Solving Two Classic Toda Lattice Equations

摘要

The mixed function method is extended from the(1+1)-dimensional spaceto the(2+1)-dimensional one, even those forms of exact solution do not exist in(1+1)-dimensional NDDEs. By using this extended method, the Toda lattice and(2+1)-dimensionalToda lattice equations are studied. Some new solutions such as discrete solitary wave solutions,discrete kink and antikink wave solutions, and discrete breather soliton solutions areobtained, and their dynamic properties are discussed.