On the basis of an analysis of the loop algebra ?_1 a new hierarchy of integrable sys-tems is proposed. The Hamiltonian structure of the new hierarchy of equations is established by means of constrained formal variati...On the basis of an analysis of the loop algebra ?_1 a new hierarchy of integrable sys-tems is proposed. The Hamiltonian structure of the new hierarchy of equations is established by means of constrained formal variational calculus. This hierarchy of evolution equations is demonstrated to possess an infinite number of conserved densities, which are ininvolution in pairs.展开更多
This article begins with the calculating of the conservative density of Kdv equations. By an easy method of calculating the conservative density of a class of nonlinear evolutionary equations is then derived. The calc...This article begins with the calculating of the conservative density of Kdv equations. By an easy method of calculating the conservative density of a class of nonlinear evolutionary equations is then derived. The calculating of a lot of undetermined coefficients can be dealt with in batches, and it will enable us to operate by hand.展开更多
基金Project supported by the National Natural Science Foundation of China.
文摘On the basis of an analysis of the loop algebra ?_1 a new hierarchy of integrable sys-tems is proposed. The Hamiltonian structure of the new hierarchy of equations is established by means of constrained formal variational calculus. This hierarchy of evolution equations is demonstrated to possess an infinite number of conserved densities, which are ininvolution in pairs.
基金This work is supported by Natural Science Foundation of Shandong.
文摘This article begins with the calculating of the conservative density of Kdv equations. By an easy method of calculating the conservative density of a class of nonlinear evolutionary equations is then derived. The calculating of a lot of undetermined coefficients can be dealt with in batches, and it will enable us to operate by hand.
