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

2014/06/25 by Hongfei Pan, Tiecheng Xia
Physics and Astronomy · #nlin.SI

paper · pdf · doi:10.1016/s0034-4877(15)60018-0

15 pages. arXiv admin note: substantial text overlap with arXiv:1406.6233

arxiv created 2014/06/25 · arxiv updated 2015/06/22

Abstract

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.

Citations