Lax pairs and Fourier analysis: The case of sine-Gordon and Klein-Gordon equations

被引：4
|
作者：
Saksida, Pavle [1 ]
机构：
[1] Univ Ljubljana, Fac Math & Phys, Ljubljana 61000, Slovenia
来源：
7TH INTERNATIONAL CONFERENCE ON QUANTUM THEORY AND SYMMETRIES (QTS7) | 2012年 / 343卷
关键词：
NONLINEAR EVOLUTION-EQUATIONS; MAXWELL-BLOCH EQUATIONS; TRANSFORMS;
D O I：
10.1088/1742-6596/343/1/012109
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper we construct a new Lax pair for the Klein-Gordon equation. The structure algebra of this Lax pair is the algebra TA(2) of upper triangular Toeplitz block matrices with su(2) blocks. For the suitable choice of the values of the spectral parameter, the integrals of motion, obtained from the holonomy of the spatial part of the Lax pair, have simple expressions in terms of the Fourier data. We compare these integrals to the corresponding integrals of the sine-Gordon system.
引用
收藏
页数：10
相关论文
共 50 条
12345