Sine-Gordon equation and nonlinear σ model on a lattice

Sine-Gordon equation and nonlinear σ model on a lattice
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DOI:
10.1103/physrevd.18.3828
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发表时间:
1978-11
期刊:
影响因子:
5
通讯作者:
S. Orfanidis
S. Orfanidis
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
S. Orfanidis

文献摘要

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研究了格上sine-Gordon方程的离散推广。得到了相应的Baecklund变换、孤子解、作用原理、守恒律和逆散射方程。的二维非线性西格玛模型的离散版本的连接被发现。
A discrete generalization of the sine-Gordon equation on a lattice is studied. The corresponding Baecklund transformation, soliton solutions, action principle, conservation laws, and inverse scattering equations are obtained. The connection to a discrete version of the two-dimensional nonlinear sigma model is found.