Title of article :
On the full Kostant–Toda system and the discrete Korteweg–de Vries equations
Author/Authors :
Barrios Rolanيa، نويسنده , , D. and Branquinho، نويسنده , , A. and Foulquié Moreno، نويسنده , , A.، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2013
Abstract :
The relation between the solutions of the full Kostant–Toda lattice and the discrete Korteweg–de Vries equation is analyzed. A method for constructing solutions of these systems is given. As a consequence of the matricial interpretation of this method, the transform of Darboux is extended for general Hessenberg banded matrices.
Keywords :
Operator theory , differential equations , Recurrence relations , orthogonal polynomials
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications