Algebro-geometric solution of the coupled Burgers equation
Hongfei Pan, Tiecheng Xia
TL;DR
This paper derives an algebro-geometric theta function representation for solutions of the coupled Burgers equation, a nonlinear evolution equation, and explores associated meromorphic functions and Baker-Akhiezer vectors.
Contribution
It introduces a novel algebro-geometric framework for solving the coupled Burgers equation, expanding the analytical tools for nonlinear integrable systems.
Findings
Theta function representation of solutions
Algebro-geometric characterization of meromorphic functions
Analysis of Baker-Akhiezer vectors
Abstract
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 {\phi} and the Baker-Akhiezer vector {\Psi}.
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Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic structures and combinatorial models · Advanced Topics in Algebra