标题:Trigonal curves and algebro-geometric solutions to soliton hierarchies II
作者:Ma, Wen-Xiu
通讯作者:Ma, WenXiu
作者机构:[Ma, Wen-Xiu] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China.; [Ma, Wen-Xiu] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qin 更多
来源:PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
出版年:2017
卷:473
期:2203
DOI:10.1098/rspa.2017.0233
关键词:trigonal curve; Baker-Akhiezer function; algebro-geometric solution
摘要:This is a continuation of a study on Riemann theta function representations of algebro-geometric solutions to soliton hierarchies. In this part, we straighten out all flows in soliton hierarchies under the Abel-Jacobi coordinates associated with Lax pairs, upon determining the Riemann theta function representations of the Baker-Akhiezer functions, and generate algebro-geometric solutions to soliton hierarchies in terms of the Riemann theta functions, through observing asymptotic behaviours of the Baker-Akhiezer functions. We emphasize that we analyse the four-component AKNS soliton hierarchy in such a way that it leads to a general theory of trigonal curves applicable to construction of algebro-geometric solutions of an arbitrary soliton hierarchy.
收录类别:EI;SCIE
WOS核心被引频次:6
资源类型:会议论文;期刊论文
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