摘要
We construct a loop algebra 3 , then a new 4×4 isospectral problem is presented. By Tu scheme, the generalized coupled mKdV equation hierarchy is derived. Based on an expanding loop algebra F3 of the loop algebra 3 , the integrable couplings of the generalized coupled mKdV hierarchy is solved. Finally, the Hamiltonian structures of the integrable couplings of the generalized coupled mKdV hierarchy is obtained by the quadratic-form identity.
We construct a loop algebra 3 , then a new 4×4 isospectral problem is presented. By Tu scheme, the generalized coupled mKdV equation hierarchy is derived. Based on an expanding loop algebra F3 of the loop algebra 3 , the integrable couplings of the generalized coupled mKdV hierarchy is solved. Finally, the Hamiltonian structures of the integrable couplings of the generalized coupled mKdV hierarchy is obtained by the quadratic-form identity.
基金
supported by the National Natural Science Foundation of China (Grant Nos.11271008, 61072147, 1071159)
the Shanghai Leading Academic Discipline Project (No.J50101)
the Shanghai Univ. Leading Academic Discipline Project (A.13-0101-12-004)
the Youth Foundation of Zhoukou Normal University (2012QNB09)
Science and Technology Project of Henan Province (132400410582)
