Darboux transformation: New identities

V. Vaibhav

Research output: Contribution to journalArticleScientificpeer-review

1 Citation (Scopus)

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.

Original languageEnglish
Article number115504
Number of pages5
JournalPhysica Scripta
Volume94
Issue number11
DOIs
Publication statusPublished - 2019
Externally publishedYes

Keywords

  • darboux transformation
  • inverse scattering transforms
  • mutlisolitons

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