Nth-order rogue wave solutions of the complex modified Korteweg-de Vries equation

被引:35
作者
Zhaqilao [1 ]
机构
[1] Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China
关键词
D O I
10.1088/0031-8949/87/06/065401
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, a generalized Darboux transformation for the complex modified Korteweg-de Vries (mKdV) equation is constructed by the Darboux matrix method. As applications, Nth-order wave solutions of the complex mKdV equation have been obtained, part of which exhibit features of rogue waves, such as the first- to third-order rogue waves that are discussed and illustrated through some figures.
引用
收藏
页数:9
相关论文
共 31 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]   Waves that appear from nowhere and disappear without a trace [J].
Akhmediev, N. ;
Ankiewicz, A. ;
Taki, M. .
PHYSICS LETTERS A, 2009, 373 (06) :675-678
[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]   Rogue wave triplets [J].
Ankiewicz, Adrian ;
Kedziora, David J. ;
Akhmediev, Nail .
PHYSICS LETTERS A, 2011, 375 (28-29) :2782-2785
[5]   Rogue waves, rational solutions, the patterns of their zeros and integral relations [J].
Ankiewicz, Adrian ;
Clarkson, Peter A. ;
Akhmediev, Nail .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (12)
[6]   Matter rogue waves [J].
Bludov, Yu. V. ;
Konotop, V. V. ;
Akhmediev, N. .
PHYSICAL REVIEW A, 2009, 80 (03)
[7]  
Darboux G., 1882, C. R. Acad. Sci., V94, P1456
[8]   Rogue waves in superfluid helium [J].
Efimov, V. B. ;
Ganshin, A. N. ;
Kolmakov, G. V. ;
McClintock, P. V. E. ;
Mezhov-Deglin, L. P. .
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2010, 185 (01) :181-193
[9]   Rogue-wave-like characteristics in femtosecond supercontinuum generation [J].
Erkintalo, M. ;
Genty, G. ;
Dudley, J. M. .
OPTICS LETTERS, 2009, 34 (16) :2468-2470
[10]  
Garrett C, 2009, PHYS TODAY, V62, P62, DOI 10.1063/1.3156339