Series solution of the 1+2 continuous Toda Chain
A way to obtain the series solutions of the 1 + 2 dimensional continuous Toda chain is presented.
math-ph↗
arXiv subjects
R. Torres-Cordoba
Publications and source records attributed to R. Torres-Cordoba.
Multisoliton solution of 3-waves problem
Multi-soliton solution of the 3-waves problem is represented in explicit determinative form.
hep-th↗
Fine structure of the discrete transformation for multicomponent integrable systems
It is shown that in the case of multicomponent integrable systems connected with algebras $A_n$, the discrete transformation $T$ possesses the fine structure and can be represented in the form $T=\prod T_i^{l_i}$, where $T_i$ are n commuting basis discrete transformations, and $l_i$ are arbitrary natural numbers. All the calculations are conducted in detail for the case of a 3-wave interacting system.
hep-th↗
Discrete transformation for matrix 3-waves problem in three dimensional space
Discrete transformation for 3- waves problem is constructed in explicit form. Generalization of this system on the matrix case in three dimensional space together with corresponding discrete transformation is presented also.
nlin.SI↗