Two-breather solutions for the class I infinitely extended nonlinear Schrodinger equation and their special cases
Exactly Solvable and Integrable Systems
2020-09-22 v1 Pattern Formation and Solitons
Abstract
We derive the two-breather solution of the class I infinitely extended nonlinear Schrodinger equation (NLSE). We present a general form of this multi-parameter solution that includes infinitely many free parameters of the equation and free parameters of the two breather components. Particular cases of this solution include rogue wave triplets, and special cases of breather-to-soliton and rogue wave-to-soliton transformations. The presence of many parameters in the solution allows one to describe wave propagation problems with higher accuracy than with the use of the basic NLSE.
Keywords
Cite
@article{arxiv.2009.09853,
title = {Two-breather solutions for the class I infinitely extended nonlinear Schrodinger equation and their special cases},
author = {Matthew Crabb and Nail Akhmediev},
journal= {arXiv preprint arXiv:2009.09853},
year = {2020}
}
Comments
10 pages, 10 figures. Published in Nonlinear Dynamics