Darboux transformation
New identities
Journal Article
(2019)
Author(s)
V. Vaibhav (TU Delft - Mechanical Engineering)
Research Group
Team Raf Van de Plas
DOI related publication
https://doi.org/10.1088/1402-4896/ab1e7f
Final published version
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Publication Year
2019
Language
English
Research Group
Team Raf Van de Plas
Issue number
11
Volume number
94
Article number
115504
Downloads counter
103
Abstract
This letter reports some new identities for multisoliton potentials that are based on the explicit representation provided by the Darboux matrix. These identities can be used to compute the complex gradient of the energy content of the tail of the profile with respect to the discrete eigenvalues and the norming constants. The associated derivatives are well defined in the framework of the so-called Wirtinger calculus which can aid a complex variable based optimization procedure in order to generate multisolitonic signals with desired effective temporal and spectral width.