matrix eigenvalue problem
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2017 ◽  
Vol 72 (5) ◽  
pp. 469-475
Author(s):  
Wei Liu ◽  
Xianguo Geng ◽  
Bo Xue

AbstractA hierarchy of three-component generalisation of Burgers equation, which is associated with a 3×3 matrix eigenvalue problem, is generated by using the zero-curvature equation. By means of the trace identity, the bi-Hamiltonian structures of this hierarchy are constructed. Moreover, the infinite conservation laws for the hierarchy are obtained with the aid of spectral parameter expansion.


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