Nth order smooth positon and breather-positon solutions of a generalized nonlinear Schr\'{o}dinger equation

Autor:	Priya, N. Vishnu, Monisha, S., Senthilvelan, M., Rangarajan, Govindan
Rok vydání:	2022
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems Nonlinear Sciences - Pattern Formation and Solitons
Druh dokumentu:	Working Paper
Popis:	In this paper, we investigate smooth positon and breather-positon solutions of a generalized nonlinear Schr\"{o}dinger (GNLS) equation which contains higher order nonlinear effects. With the help of generalized Darboux transformation (GDT) method we construct $N$th order smooth positon solutions of GNLS equation. We study the effect of higher order nonlinear terms on these solutions. Our investigations show that the positon solutions are highly compressed by higher order nonlinear effects. The direction of positons are also get changed. We also derive $N$th order breather-positon (B-P) solution with the help of GDT. We show that these B-Ps are well compressed by the effect of higher order nonlinear terms but the period of B-P solution is not affected as in the breather solution case. Comment: 23 Pages, 8 figures, To appear in European Physical Journal Plus
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2205.12015 Zobrazit plný text záznamu View this record from Arxiv