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Hongfei Pan

Publications and source records attributed to Hongfei Pan.

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A two-component generalization of Burgers equation with Quasi-periodic solutions

In this paper, we aim for the theta function representation of quasi-periodic solution and related crucial quantities for a two-component generalization of Burgers equation. Our tools include the theory of algebraic curve, the meromorphic function, Baker-Akhiezer functions, the Dubrovin-type equations for auxiliary divisor, with these tools, the explicit representa- tions for above quantities are obtained.

nlin.SI

Algebro-geometric solution of the coupled Burgers equation

We derive theta function representation of algebro-geometric solution of a Coupled Burgers equation which the second nonlinear evolution equation in a hierarchy. We also derive the algebro-geometric characters of the meromorphic function ϕ and the Baker-Akhiezer vector Ψ.

nlin.SI