Toward a theory of integrable hyperbolic equations of third order
Abstract
Examples are considered of integrable third order hyperbolic equations 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 the choice of dynamical variables for the hyperbolic equations is discussed.
- Publication:
-
Journal of Physics A Mathematical General
- Pub Date:
- October 2012
- DOI:
- 10.1088/1751-8113/45/39/395207
- arXiv:
- arXiv:1206.4170
- Bibcode:
- 2012JPhA...45M5207A
- Keywords:
-
- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- Mathematical Physics;
- Mathematics - Analysis of PDEs;
- 35L75;
- 35Q53;
- 37K10;
- 37K35
- E-Print:
- 22 p