Liouville field theory: IST and Poisson bracket structure. (English) Zbl 0597.58044

Dzhordzhadze, G. P.; Pogrebkov, A. K.; Polivanov, M. C.; Talalov, S. V.

J. Phys. A 19, 121-139 (1986).

MSC:

58J50	Spectral problems; spectral geometry; scattering theory on manifolds
37J99	Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
35Q99	Partial differential equations of mathematical physics and other areas of application

Keywords:

general solution for the Liouville equation; inverse scattering transform method; dynamical generators of Poincaré and dilatation groups; N- soliton solutions