A note on the quasi-periodic solutions of the modified Boussinesq hierarchy

JOURNAL OF GEOMETRY AND PHYSICS

卷:96

Article

Wu, Lihua¹  He, Guoliang²  Geng, Xianguo³ 

[1] Huaqiao Univ, Dept Math, Quanzhou 362021, Peoples R China

[2] Zhengzhou Univ Light Ind, Dept Math & Informat Sci, Zhengzhou 450002, Peoples R China

[3] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China

关键词: The modified Boussinesq hierarchy;    Explicit quasi-periodic solutions;    Trigonal curve;   

DOI  :  10.1016/j.geomphys.2015.06.014

来源: Elsevier

【 摘 要 】

Based on the theory of trigonal curve and the properties of three kinds of the Abel differentials on it, we deduce the explicit theta function representations of the Baker-Akhiezer function and the meromorphic function associated with the modified Boussinesq hierarchy. The modified Boussinesq flows are straightened using the Abel map and the Lagrange interpolation formula. The explicit theta function representations of solutions for the entire modified Boussinesq hierarchy are constructed with the aid of the asymptotic properties and the algebra-geometric characters of the meromorphic function. (C) 2015 Elsevier B.V. All rights reserved.

【 授权许可】

Free