Peak-height formula for higher-order breathers of the nonlinear Schrdinger equation on nonuniform backgrounds.

abstract

• Given any background (or seed) solution of the nonlinear Schrdinger equation, the Darboux transformation can be used to generate higher-order breathers with much greater peak intensities. In this work, we use the Darboux transformation to prove, in a unified manner and without knowing the analytical form of the background solution, that the peak height of a high-order breather is just a sum of peak heights of first-order breathers plus that of the background, irrespective of the specific choice of the background. Detailed results are verified for breathers on a cnoidal background. Generalizations to more extended nonlinear Schrdinger equations, such as the Hirota equation, are indicated.

authors

• Chin, Siu

published proceedings

• Phys Rev E

author list (cited authors)

• Chin, S. A., Ashour, O. A., Nikoli, S. N., & Beli, M. R.

citation count

• 14

complete list of authors

• Chin, Siu A||Ashour, Omar A||Nikolić, Stanko N||Belić, Milivoj R

publication date

• January 2017

publisher

• American Physical Society (APS)  Publisher

published in

• Physical Review E  Journal

keywords

• 51 Physical Sciences

PubMed Central ID

• 28208381

Digital Object Identifier (DOI)

• 10.1103/PhysRevE.95.012211

start page

• 012211

volume

• 95

issue

• 1-1

URL

• http://dx.doi.org/10.1103/physreve.95.012211