Integrable equations with negative evolution numbers
Two integrable systems are constructed in a 2 + 1-dimensional space. Every of these systems involve two evolutions with negative numbers.
nlin.SI↗
arXiv subjects
Andrei Pogrebkov
Publications and source records attributed to Andrei Pogrebkov.
Hirota difference equation: IST, Darboux transformation and solitons
Direct and inverse problems for the Hirota difference equation are considered. Jost solutions and scattering data are introduced and their properties are presented. Darboux transformation in a special case is shown to give evolution with respect to discrete time and a recursion procedure for consequent construction of the Jost solution at arbitrary time, if the initial value is given. Some properties of the soliton solutions are discussed.
nlin.SI↗