Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2011-05-18
Nonlinear Sciences
Exactly Solvable and Integrable Systems
26 pages, 3 figures
Scientific paper
Properties of Jost and dual Jost solutions of the heat equation, $\Phi(x,k)$ and $\Psi(x,k)$, in the case of a pure solitonic potential are studied in detail. We describe their analytical properties on the spectral parameter $k$ and their asymptotic behavior on the $x$-plane and we show that the values of $e^{-qx}\Phi(x,k)$ and the residua of $e^{qx}\Psi(x,k)$ at special discrete values of $k$ are bounded functions of $x$ in a polygonal region of the $q$-plane. Correspondingly, we deduce that the extended version $L(q)$ of the heat operator with a pure solitonic potential has left and right annihilators for $q$ belonging to these polygonal regions.
Boiti Marco
Pempinelli Flora
Pogrebkov A.
No associations
LandOfFree
Heat operator with pure soliton potential: properties of Jost and dual Jost solutions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Heat operator with pure soliton potential: properties of Jost and dual Jost solutions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Heat operator with pure soliton potential: properties of Jost and dual Jost solutions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-54407