MULTISOLITONS OF THE U(N) GENERALIZED HEISENBERG MAGNET MODEL AND THE YANG-BAXTER RELATION

被引：0
作者：
Amjad, Z. [1 ]
Haider, B. [1 ]
机构：
[1] Univ Punjab, Dept Phys, Lahore, Pakistan
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2020年 / 205卷 / 02期
关键词：
quasideterminant; noncommutative integrable system; binary Darboux transformation; r-matrix; conserved quantity; QUASIDETERMINANT SOLUTIONS; BACKLUND TRANSFORMATION; DARBOUX TRANSFORMATION; INTEGRABILITY;
D O I：
10.1134/S0040577920110033
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We use the binary Darboux transformation to obtain exact multisoliton solutions of the U(N) generalized Heisenberg magnet model and present the solutions in terms of quasideterminants. In addition, based on using the Poisson bracket algebra, we develop a new canonical approach of the type of the r-matrix approach for the generalized Heisenberg magnet model.
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页码：1426 / 1438
页数：13
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