In this paper a finite dimensional Liouville completely integrable system With timedependent coefficients: H=1/2(P,P) +1/2 t-3 (q,Aq) -1/8 t-9/2 (q,q)2, is obtained. It is proved that when (p,q) satisfies two noninvo...In this paper a finite dimensional Liouville completely integrable system With timedependent coefficients: H=1/2(P,P) +1/2 t-3 (q,Aq) -1/8 t-9/2 (q,q)2, is obtained. It is proved that when (p,q) satisfies two noninvolutive systems (H) and (F1), the constraint u =1 /2t-9/2 (q,q) - 7x/(12t) gives a solution of generalized CKdV equation.展开更多
文摘In this paper a finite dimensional Liouville completely integrable system With timedependent coefficients: H=1/2(P,P) +1/2 t-3 (q,Aq) -1/8 t-9/2 (q,q)2, is obtained. It is proved that when (p,q) satisfies two noninvolutive systems (H) and (F1), the constraint u =1 /2t-9/2 (q,q) - 7x/(12t) gives a solution of generalized CKdV equation.