Based on a 2 × 2 eigenvalue problem,a set of（1 ＋ 1）-dimensional soliton equations are proposed.Moreover,we obtain a finite dimensional Hamilton system with the help of nonlinearization approach.Then the genera...Based on a 2 × 2 eigenvalue problem,a set of（1 ＋ 1）-dimensional soliton equations are proposed.Moreover,we obtain a finite dimensional Hamilton system with the help of nonlinearization approach.Then the generating function approach and the way to straighten out of Fm-flow are used to prove the involutivity and the functional independence of conserved integrals for the finite-dimensional Hamilton system,hence,we can verify it is completely integrable in Liouville sense.展开更多
文摘Based on a 2 × 2 eigenvalue problem,a set of（1 ＋ 1）-dimensional soliton equations are proposed.Moreover,we obtain a finite dimensional Hamilton system with the help of nonlinearization approach.Then the generating function approach and the way to straighten out of Fm-flow are used to prove the involutivity and the functional independence of conserved integrals for the finite-dimensional Hamilton system,hence,we can verify it is completely integrable in Liouville sense.
