The generalized Giachetti-Johnson hierarchy and algebro-geometric solutions of the coupled KdV-MKdV equation

Thermal Science

卷:23

Liu Guijuan¹  Yue Chao¹  Lu Qiang¹  Zhang Ning²  Xia Tiecheng³ 

[1] College of Medical Information Engineering, Shandong First Medical University & Shandong Academy of Medical Sciences, Taian, China;

[2] Department of Basical Courses, Shandong University of Science and Technology, Taian, China;

[3] Department of Mathematics, Shanghai University, Shanghai, China;

关键词: algebro-geometric solution;    Riemann theta function;    coupled KdV-MKdV equation;   

DOI  :  10.2298/TSCI180719257Y

来源: DOAJ

【 摘 要 】

By using a Lie algebra A1, an isospectral Lax pair is introduced from which a generalized Giachetti-Johnson hierarchy is generated, which reduce to the coupled KdV-MKdV equation, furthermore, the algebro-geometric solutions of the coupled KdV-MKdV equation are constructed in terms of Riemann theta functions.

【 授权许可】

Unknown