Year: 1998
Type: article
Abstract: It is by now well known that the wavefunctions of rational solutions to the KP hierarchy which can be achieved as limits of the pure n -soliton solutions satisfy an eigenvalue equation for ordinary differential operators in the spectral parameter. This property is known as `bispectrality' and has proved to be both interesting and useful. In this paper, it is shown that all pure soliton solutions of the KP hierarchy (as well as their rational degenerations) satisfy an eigenvalue equation for a non-local operator constructed by composing ordinary differential operators in the spectral parameter with translation operators in the spectral parameter, and therefore have a form of bispectrality as well.
Source: Inverse Problems
Author: Alex Kasman
Institution: Mathematical Sciences Research Institute
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2108472056