Generalized Darboux transformation and N-th order rogue wave solution of a general coupled nonlinear Schr\"{o}dinger equations
Exactly Solvable and Integrable Systems
2015-06-19 v1 Pattern Formation and Solitons
Abstract
We construct a generalized Darboux transformation (GDT) of a general coupled nonlinear Schr\"{o}dinger (GCNLS) system. Using GDT method we derive a recursive formula and present determinant representations for N-th order rogue wave solution of this system. Using these representations we derive first, second and third order rogue wave solutions with certain free parameters. By varying these free parameters we demonstrate the formation of triplet, triangle and hexagonal patterns of rogue waves.
Keywords
Cite
@article{arxiv.1406.1890,
title = {Generalized Darboux transformation and N-th order rogue wave solution of a general coupled nonlinear Schr\"{o}dinger equations},
author = {N. Vishnu Priya and M. Senthilvelan},
journal= {arXiv preprint arXiv:1406.1890},
year = {2015}
}
Comments
27 pages, 7 figures and Accepted for Publication in Commun. Nonlinear Sci. Numer. Simul