Algebro-geometric solution of the coupled Burgers equation

2014/06/24 by Hongfei Pan, Pan, Hongfei, Tiecheng Xia +1 · 1 citation
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI

paper · pdf · doi:10.48550/arxiv.1406.6233

16 pages

arxiv created 2014/06/24 · arxiv updated 2014/06/25

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 ϕ and the Baker-Akhiezer vector Ψ.

Cited by

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

Related

• The algebro-geometric solutions for Hunter-Saxton hierarchy
• The algebro-geometric solutions for the modified Camassa-Holm hierarchy
• The coupled Schodinger hierarchy associated with third-order algebraic curves and algebro-geometric solutions
• Algebro-Geometric Solutions of a Discrete System Related to the Trigonometric Moment Problem
• Algebro-geometric solutions and their reductions for the Fokas-Lenells hierarchy