By using a simple method to factorize the recursion operator,the inverse recursion operator of the variable coefficient KdV cquqtion is exhibited explicitly.Thee new sets of symmetries of the variable coefficient KdV ...By using a simple method to factorize the recursion operator,the inverse recursion operator of the variable coefficient KdV cquqtion is exhibited explicitly.Thee new sets of symmetries of the variable coefficient KdV equation arc given in addition to the known K symmetries andτsymmetries.Starting from these three sets of symmetries,we obtained three hierarchies of the variable coefficient KdV integro-differential equations.展开更多
In this letter,the strong symmetry and its inverse are first given,and then six sets of symmetry of the variable coefficient modified Korteweg-de Vries(mKdV)equation are obtained,finally the variable coefficient mKdV ...In this letter,the strong symmetry and its inverse are first given,and then six sets of symmetry of the variable coefficient modified Korteweg-de Vries(mKdV)equation are obtained,finally the variable coefficient mKdV hierarchy is discussed.展开更多
文摘By using a simple method to factorize the recursion operator,the inverse recursion operator of the variable coefficient KdV cquqtion is exhibited explicitly.Thee new sets of symmetries of the variable coefficient KdV equation arc given in addition to the known K symmetries andτsymmetries.Starting from these three sets of symmetries,we obtained three hierarchies of the variable coefficient KdV integro-differential equations.
基金the Training Centre of Higher Teaclier College of Zhejiang Province.
文摘In this letter,the strong symmetry and its inverse are first given,and then six sets of symmetry of the variable coefficient modified Korteweg-de Vries(mKdV)equation are obtained,finally the variable coefficient mKdV hierarchy is discussed.
