Quasi-periodic solutions to the two-component nonlinear Klein-Gordon equation

JOURNAL OF GEOMETRY AND PHYSICS

卷:66

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, Dept Math, Zhengzhou 450001, Peoples R China

关键词: Two-component nonlinear Klein-Gordon equation;    Quasi-periodic solutions;    Trigonal curve;   

DOI  :  10.1016/j.geomphys.2012.12.002

来源: Elsevier

【 摘 要 】

Based on solutions of the stationary zero-curvature equation associated with the 3 x 3 matrix spectral problem, we introduce a trigonal curve related to the two-component nonlinear Klein-Gordon equation. Resorting to the theory of trigonal curves and properties of the three kinds of Abel differentials, we deduce the explicit theta function representations of the Baker-Akhiezer function and two meromorphic functions. The two-component nonlinear Klein-Gordon flows are straightened using the Abel map and the Lagrange interpolation formula under certain conditions. The explicit theta function representations of solutions for the two-component nonlinear Klein-Gordon equation are constructed with the aid of the asymptotic properties and the algebro-geometric characters of the two meromorphic functions. (C) 2012 Elsevier B.V. All rights reserved.

【 授权许可】

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