Reductions to Korteweg-de Vries soliton hierarchy

被引：0
|
作者：
Chen, JB [1 ]
Tan, RM
Geng, XG
机构：
[1] SE Univ, Dept Math, Nanjing 210096, Peoples R China
[2] Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China
[3] Zhengzhou Univ Light Ind, Dept Informat & Computat Sci, Zhengzhou 450002, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2006年 / 45卷 / 02期
关键词：
KdV soliton hierarchy; Hamiltonian systems; Riemann surface; Abel-Jacobi coordinates;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Based on the nonlinearization of Lax pairs, the Korteweg-de Vries (KdV) soliton hierarchy is decomposed into a family of finite-dimensional Hamiltonian systems, whose Liouville integrability is proved by means of the elliptic coordinates. By applying the Abel-Jacobi coordinates on a Riemann surface of hyperelliptic curve, the resulting Hamiltonian flows as well as the KdV soliton hierarchy are ultimately reduced into linear superpositions, expressed by the Abel-Jacobi variables.
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页码：231 / 235
页数：5
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