Rogue waves on an elliptic function background in complex modified Korteweg-de Vries equation
Exactly Solvable and Integrable Systems
2021-06-24 v1 Pattern Formation and Solitons
Abstract
With the assistance of one fold Darboux transformation formula, we derive rogue wave solutions of the complex modified Korteweg-de Vries equation on an elliptic function background. We employ an algebraic method to find the necessary squared eigenfunctions and eigenvalues. To begin we construct the elliptic function background. Then, on top of this background, we create a rogue wave. We demonstrate the outcome for three distinct elliptic modulus values. We find that when we increase the modulus value the amplitude of rogue waves on the dn-periodic background decreases whereas it increases in the case of cn-periodic background.
Cite
@article{arxiv.2106.12025,
title = {Rogue waves on an elliptic function background in complex modified Korteweg-de Vries equation},
author = {N. Sinthuja and K. Manikandan and M. Senthilvelan},
journal= {arXiv preprint arXiv:2106.12025},
year = {2021}
}
Comments
17 pages, 5 figures and Accepted for Publication in Physica Scripta Journal (2021)