Towards the theory of integrable hyperbolic equations of third order
Exactly Solvable and Integrable Systems
2012-09-13 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
The examples are considered of integrable hyperbolic equations of third order with two independent variables. In particular, an equation is found which admits as evolutionary symmetries the Krichever--Novikov equation and the modified Landau--Lifshitz system. The problem of choice of dynamical variables for the hyperbolic equations is discussed.
Keywords
Cite
@article{arxiv.1206.4170,
title = {Towards the theory of integrable hyperbolic equations of third order},
author = {V. E. Adler and A. B. Shabat},
journal= {arXiv preprint arXiv:1206.4170},
year = {2012}
}
Comments
22 p