Generalized Darboux transformation and parameter-dependent rogue wave solutions to a nonlinear Schrodinger system

被引：38

作者：

Mukam, Serge Paulin T. ^{[1
,2
,3
]}

Souleymanou, Abbagari ^{[1
,2
,4
]}

Kuetche, Victor K. ^{[1
,2
,3
,5
]}

Bouetou, Thomas B. ^{[1
,2
,3
,5
]}

机构：

[1] Univ Yaounde I, Natl Adv Sch Engn, POB 8390, Yaounde, Cameroon

[2] Univ Yaounde I, Dept Phys, Lab Mech Mat & Struct, POB 812, Yaounde, Cameroon

[3] Univ Yaounde I, CETIC, POB 8390, Yaounde, Cameroon

[4] Univ Maroua, Fac Mines & Petr Ind, Dept Basic Sci Law & Humanities, POB 46, Maroua, Cameroon

[5] Abdus Salam Int Ctr Theoret Phys ICTP, Str Costiera 11, I-34151 Trieste, Italy

来源：

NONLINEAR DYNAMICS | 2018年 / 93卷 / 02期

关键词：

Nonlinear Schrodinger equation; Higherorder nonlinearity; Darboux transformation; Rogue wave; EQUATIONS; SOLITON;

D O I：

10.1007/s11071-018-4198-x

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this work, we are concerned with a generalized nonlinear Schrodinger equation, which can describe the propagation of nonlinear wave phenomena in plasma, optics and in deep water field. We construct, up to the second-order expansion, rogue wave solutions and give general formula to obtain higher-order ones to this system. We investigate the effects of the higher-order nonlinearity on the rogue waves dynamics. We make use of the generalized Darboux transformation, based on the Darboux matrix method.

引用

页码：373 / 383

页数：11

共 38 条

[1]

Ablowitz M. J., 1981, SIAM Studies in Applied Mathematics, V4, DOI 10.1137/1.9781611970883

[2] Waves that appear from nowhere and disappear without a trace [J].