Rogue wave solutions of the (2+1)-dimensional derivative nonlinear Schrodinger equation

被引：41

作者：

Wen, Li-Li ^{[1
]}

Zhang, Hai-Qiang ^{[1
]}

机构：

[1] Univ Shanghai Sci & Technol, Coll Sci, POB 253, Shanghai 200093, Peoples R China

来源：

NONLINEAR DYNAMICS | 2016年 / 86卷 / 02期

基金：

中国国家自然科学基金;

关键词：

(2+1)-dimensional derivative nonlinear Schrodinger equation; Rogue wave; Generalized Darboux transformation; DARBOUX TRANSFORMATION; MECHANISMS; SOLITON; OPTICS;

D O I：

10.1007/s11071-016-2930-y

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, we focus on the construction of rogue wave solutions for the (2+1)-dimensional derivative nonlinear Schrodinger equation. The N-order generalized Darboux transformation is obtained, and the determinant form of N-order rogue waves is also presented by taking limit on the classical Darboux transformation. On the plane wave solution background, two different kinds of rogue wave solutions (linear rogue wave and parabolic rogue wave) are constructed successively. The characteristics of two types of rogue waves are analyzed by some figures and physical qualities.

引用

页码：877 / 889

页数：13

共 27 条

[1] Editorial - Introductory remarks on "Discussion & Debate: Rogue Waves - Towards a Unifying Concept?" [J].

Akhmediev, N. ;

Pelinovsky, E. .

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2010, 185 (01) :1-4

[2]

Akhmediev N., 1997, Solitons: Nonlinear Pulses and Beams

[3] Rogue waves and rational solutions of the nonlinear Schroumldinger equation [J].

Akhmediev, Nail ;

Ankiewicz, Adrian ;

Soto-Crespo, J. M. .

PHYSICAL REVIEW E, 2009, 80 (02)

[4]

[Anonymous], 2003, Optical Solitons

[5] Observation of Peregrine Solitons in a Multicomponent Plasma with Negative Ions [J].

Bailung, H. ;

Sharma, S. K. ;

Nakamura, Y. .

PHYSICAL REVIEW LETTERS, 2011, 107 (25)

[6] Symbolic calculation in chemistry: Selected examples [J].

Barnett, MP ;

Capitani, JF ;

von zur Gathen, J ;

Gerhard, J .

INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2004, 100 (02) :80-104

[7]

Broad W. J., 2006, NY TIMES

[8] Rogue Wave Observation in a Water Wave Tank [J].

Chabchoub, A. ;

Hoffmann, N. P. ;

Akhmediev, N. .

PHYSICAL REVIEW LETTERS, 2011, 106 (20)

[9]

Didenkulova I, 2008, EXTREME OCEAN WAVES, P83, DOI 10.1007/978-1-4020-8314-3_5

[10] Observation of an inverse energy cascade in developed acoustic turbulence in superfluid helium [J].

Ganshin, A. N. ;

Efimov, V. B. ;

Kolmakov, G. V. ;

Mezhov-Deglin, L. P. ;

McClintock, P. V. E. .

PHYSICAL REVIEW LETTERS, 2008, 101 (06)

← 1 2 3 →