Symmetries, conservation laws and Hamiltonian structures of the non-isospectral and variable coefficient KdV and MKdV equations
作者： W L Chan , Xiao Zhang
DOI: 10.1088/0305-4470/28/2/016
关键词: Hamiltonian (quantum mechanics) 、 Korteweg–de Vries equation 、 Variable coefficient 、 Isospectral 、 Mathematical physics 、 Infinite number 、 Algebraic structure 、 Mathematics 、 Conservation law 、 Homogeneous space 、 Algebra
摘要: An infinite number of form-invariant symmetries is obtained and a one-to-one correspondence between conservation laws established for the non-isospectral variable coefficient generalizations both KdV MKdV equations. Two families their Lie algebraic structures are constructed. Some interesting facts about Hamiltonian presented.
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