具有拟周期解的Burgers方程的两分量推广
A two-component generalization of Burgers equation with Quasi-periodic solutions
摘要:
本文研究了一类两分量推广的Burgers方程的拟周期解的theta函数表示及相关的关键量。我们的工具包括代数曲线理论,亚纯函数,Baker-Akhiezer函数,Dubrovin型辅助因子方程,利用这些工具,得到了上述量的显式表示。
英文摘要:
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.
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