FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 7, PAGES 141-161

On symmetry classification of third order evolutionary systems of divergent type

A. G. Meshkov

Abstract

View as HTML     View as gif image

A symmetry classification is presented for integrable two-field third-order evolutionary systems of divergent type. The list contains thirteen exactly integrable systems. For eleven of them, differential substitutions that relate the systems with the known systems by Drinfeld--Sokolov, Ito, and Hirota--Satsuma are found. The two remaining systems seem to be new.

Location: http://mech.math.msu.su/~fpm/eng/k06/k067/k06710h.htm
Last modified: February 13, 2007