A reasonable q-deformed differential is defined. A set of operation rules are constructed for the q-deformed formal pseudo differential operators. The complete procedure of constructing the q-deformed KdV hierarchies and their infinite conservation laws is given. As an important example, we obtain a detailed structure of the simplest (3,2) system, i.e. the q-deformed KdV equations.
机构:
Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
Chinese Educ Minist, Key Lab Nonlinear Sci, Shanghai 200433, Peoples R ChinaFudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
机构:
Walter Sisulu Univ, Fac Nat Sci, Dept Math Sci & Comp, Private Bag X1, ZA-5117 Mthatha, South AfricaWalter Sisulu Univ, Fac Nat Sci, Dept Math Sci & Comp, Private Bag X1, ZA-5117 Mthatha, South Africa