4 papers
Monge equation of arbitrary degree in 1 + 1 space
A. N. Leznov, R. Torres-cordoba
Solution of Monge equation of arbitrary degree (non linear differential equation n-orden) is connected with solution of functional equation for 4 functions with 4 different argumen…
Series solution of the 1+2 continuous Toda Chain
D. B. Fairlie, A. N. Leznov, R. Torres-Cordoba
A way to obtain the series solutions of the 1 + 2 dimensional continuous Toda chain is presented.
An analytical solution of Monge differential equation
Rafael Torres-Cordoba
We present the exact solution to the non linear Monge differential equation lambda(x, t)lambdax(x, t) = lambdat(x, t). It is widely accepted that the Monge equation is equivalent t…
Fine structure of the discrete transformation for multicomponent integrable systems
A. N. Leznov, J. Escobedo-Alatorre, R. Torres-Cordoba
It is shown that in the case of multicomponent integrable systems connected with algebras , the discrete transformation possesses the fine structure and can be represented…