-
51浏览
-
0点赞
-
0收藏
-
0分享
-
0下载
-
0评论
-
引用
期刊论文
On Properties of Hamiltonian Structures for a Class of Evolutionary PDEs
Letters in Mathematical Physics,2008,84():47–63( | 2008年03月29日 | https://doi.org/10.1007/s11005-008-0234-y
In a recent paper we proved that for certain class of perturbations of the hyperbolic equation u t = f (u)u x , there exist changes of coordinate, called quasi-Miura transformations, that reduce the perturbed equations to the unperturbed one. We prove in the present paper that if in addition the perturbed equations possess Hamiltonian structures of certain type, the same quasi-Miura transformations also reduce the Hamiltonian structures to their leading terms. By applying this result, we obtain a criterion of the existence of Hamiltonian structures for a class of scalar evolutionary PDEs and an algorithm to find out the Hamiltonian structures.
学者未上传该成果的PDF文件,请等待学者更新
本学者其他成果
同领域成果