CLOSED FORM SOLUTIONS TO THE INTEGRABLE DISCRETE NONLINEAR SCHRÖDINGER EQUATION
DEMONTIS, FRANCESCO;VAN DER MEE, CORNELIS VICTOR MARIA
2012-01-01
Abstract
In this article we derive explicit solutions of the matrix integrable discrete nonlinear Schr¨odinger equation by using the inverse scattering transform and the Marchenko method. The Marchenko equation is solved by separation of variables, where the Marchenko kernel is represented in separated form, using a matrix triplet (A,B,C). Here A has only eigenvalues of modulus larger than one. The class of solutions obtained contains the N-soliton and breather solutions as special cases. We also prove that these solutions reduce to known continuous matrix NLS solutions as the discretization step vanishes.File | Size | Format | |
---|---|---|---|
184.pdf Solo gestori archivio
Size 395.52 kB
Format Adobe PDF
|
395.52 kB | Adobe PDF | & nbsp; View / Open Request a copy |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.