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Jian-bing Zhang
Public Documents
2
The τ -symmetries and Lie algebra structure of the Blaszak-Marciniak lattice equation
Jian-bing Zhang
and 1 more
November 02, 2023
A general approach is developed for discriminating strong and hereditary symmetric operators. The recursion operator of the Blaszak-Marciniak (BM) equation hierarchy is proved to be strong and hereditary symmetric. As an example of discrete soliton equations related to 3×3 matrix spectral problems, the τ-symmetries and Lie algebra structure of the BM equation are built firstly.
The relationship between the conservation laws and multi-Hamiltonian structures of th...
Jian-bing Zhang
and 2 more
October 12, 2020
By the Lagrangian multiplier and constraint variational derivative, a relationship between conserved quantities and multi-Hamiltonian structures is built. Making using the relation a method is founded to prove the infinite-dimensional Liouville integrability of evolution equations with continuous variables. As the application, the conservation laws of the Kundu equation are firstly obtained. Its conserved quantities are deduced for comparing by Fokas' method different from the method used in the existed literature. The integrability of the equation is proved through taking the conservation laws as a starting point.