Continuum analogues of contragredient Lie algebras (Lie algebras with a Cartan operator and nonlinear dynamical systems)

Coupled systems of nonlinear wave equati

Coupled systems of nonlinear wave equations and finite-dimensional lie algebras II: A nonlinear system arising from the groupG6.1and its exact integration

✍ P. J. Vassiliou 📂 Article 📅 1987 🏛 Springer Netherlands 🌐 English ⚖ 621 KB

In the first paper of this series a correspondence was established between coupled systems of two-dimensional nonlinear wave equations and the six-dimensional simply transitive Lie algebras. In the present paper we make use of this result to construct a Darboux integrable and exactly integrable non