Published July 1978 | Version v1
Journal article

Nonlinear wave equations and the differential geometry

Creators

  • 1. Gosudarstvennyj Komitet po Ispol'zovaniyu Atomnoj Ehnergii SSSR, Moscow. Inst. Teoreticheskoj i Ehksperimental'noj Fiziki

Description

Applications of differential geometry methods to the equations of Sine-Gordon type are reviewed. Basic results on the theory of surfaces in the euclidean space are obtained. Following the idea by Lund and Regge, it is shown that analysis of motion of the repere on a surface results in a class of soluble two-dimensional relativistic field theories

Additional details

Additional titles

Original title (Russian)
Нелинейные волновые уравнения и дифференциальная геометрия

Publishing Information

Journal Title
Yad. Fiz.
Journal Volume
28
Journal Issue
1
Series
Yad. Fiz.
Journal Page Range
251-264

Optional Information

Notes
For English translation see the journal Sov. J. Nucl. Phys.