Explode-decay solitons in the generalized inhomogeneous higher-order nonlinear Schrodinger equations

被引：20

作者：

Radha, Ramaswamy ^{[1
]}

Kumar, V. Ramesh ^{[1
]}

机构：

[1] Ctr Nonlinear Sci, Govt Coll Women, Dept Phys, Kumbakonam 612001, India

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2007年 / 62卷 / 7-8期

关键词：

generalized inhomogeneous higher-order nonlinear Schrodinger equation; gauge transformation; explode-decay solitons;

D O I：

10.1515/zna-2007-7-805

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

In this paper we investigate the generalized inhomogeneous higher-order nonlinear Schrodinger equations, generated recently by deforming the inhomogeneous Heisenberg ferromagnetic spin system through a space curve formalism [Phys. Lett. A 352, 64 (2006)] and construct their multisoliton solutions, using gauge transformation. The amplitude of the bright soliton solutions generated grows and decays with time, and there is an exchange of energy between soliton trains during interaction.

引用

页码：381 / 386

页数：6

共 50 条

[1] Peregrine Solitons of the Higher-Order, Inhomogeneous, Coupled, Discrete, and Nonlocal Nonlinear Schrodinger Equations
Uthayakumar, T.
Al Sakkaf, L.
Al Khawaja, U.
FRONTIERS IN PHYSICS, 2020, 8
[2] Evolution of solitons described by higher-order nonlinear Schrodinger equations
Karpman, VI
PHYSICS LETTERS A, 1998, 244 (05) : 397 - 400
[3] On the Darboux transformation of a generalized inhomogeneous higher-order nonlinear Schrodinger equation
Yong, Xuelin
Wang, Guo
Li, Wei
Huang, Yehui
Gao, Jianwei
NONLINEAR DYNAMICS, 2017, 87 (01) : 75 - 82
[4] Propagation of dark solitons in a system of coupled higher-order nonlinear Schrodinger equations
Mahalingam, A
Porsezian, K
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (13): : 3099 - 3109
[5] Nondegenerate solitons for coupled higher-order nonlinear Schrodinger equations in optical fibers
Cai, Yue-Jin
Wu, Jian-Wen
Hu, Lang-Tao
Lin, Ji
PHYSICA SCRIPTA, 2021, 96 (09)
[6] EXACT EXPLODE-DECAY SOLITON-SOLUTIONS OF A CYLINDRICAL HIGHER-ORDER WATER-WAVE EQUATION
NAKAMURA, A
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1985, 54 (06) : 2105 - 2109
[7] Complex nonlinearities of rogue waves in generalized inhomogeneous higher-order nonlinear Schrodinger equation
Song, N.
Zhang, W.
Yao, M. H.
NONLINEAR DYNAMICS, 2015, 82 (1-2) : 489 - 500
[8] Stability of solitons described by nonlinear Schrodinger-type equations with higher-order dispersion
Karpman, VI
Shagalov, AG
PHYSICA D-NONLINEAR PHENOMENA, 2000, 144 (1-2) : 194 - 210
[9] Optical soliton solutions of the generalized higher-order nonlinear Schrodinger equations and their applications
Arshad, M.
Seadawy, Aly R.
Lu, Dianchen
OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (11)
[10] Bound-state solitons for the coupled variable-coefficient higher-order nonlinear Schrodinger equations in the inhomogeneous optical fiber
Liu, De-Yin
Tian, Bo
Xie, Xi-Yang
LASER PHYSICS, 2017, 27 (03)

← 1 2 3 4 5 →