Soliton and breather molecules in few-cycle-pulse optical model

被引：82

作者：

Jia, Man ^{[1
]}

Lin, Ji ^{[2
]}

Lou, Sen Yue ^{[1
]}

机构：

[1] Ningbo Univ, Sch Phys Sci & Technol, Lab Clean Energy Storage & Convers, Ningbo 315211, Peoples R China

[2] Zhejiang Normal Univ, Dept Phys, Jinhua 321004, Zhejiang, Peoples R China

来源：

NONLINEAR DYNAMICS | 2020年 / 100卷 / 04期

关键词：

mKdV-sG equation; Soliton molecules; Breather molecules; Breather-soliton molecule; Unelastic interaction; PROPAGATION; DYNAMICS; EQUATION;

D O I：

10.1007/s11071-020-05695-3

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The modified Korteweg-de Vries-sine-Gordon (mKdV-sG) equation is one of the models describing few-cycle-pulse optical solitons beyond the slowly varying envelope approximation. By introducing the velocity resonance mechanism to multiple soliton/breather solutions, it is found that the mKdV-sG model possesses abundant soliton molecule (SM), breather molecule (BM) and breather-soliton molecule (BSM) structures. Every SM includes only two solitons, a BM can be constructed by arbitrary number of breathers and a BSM can be formed from one or two solitons and arbitrary number of breathers. Though the interactions among the separated solitons and breathers are elastic, the size (the distances among solitons in a same molecule) will be changed after the interaction. Prospects of the studies overviewed in this work are given in the conclusions.

引用

页码：3745 / 3757

页数：13

共 28 条

[1] Intense few-cycle laser fields: Frontiers of nonlinear optics [J].

Brabec, T ;

Krausz, F .

REVIEWS OF MODERN PHYSICS, 2000, 72 (02) :545-591

[2] Faster-than-light propagation of electromagnetic solitons in nonequilibrium medium taking account of diffraction [J].

Bugay, AN ;

Sazonov, SV .

JOURNAL OF OPTICS B-QUANTUM AND SEMICLASSICAL OPTICS, 2004, 6 (07) :328-335

[3] The novel multi-soliton solutions of the MKdV-Sine Gordon equations [J].

Chen, DY ;

Zhang, DJ ;

Deng, SF .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2002, 71 (02) :658-659

[4] New variable separation solutions and wave interactions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation [J].

Cui, Chao-jie ;

Tang, Xiao-yan ;

Cui, Ya-jun .

APPLIED MATHEMATICS LETTERS, 2020, 102

[5] Rogue waves and analogies in optics and oceanography [J].

Dudley, John M. ;

Genty, Goery ;

Mussot, Arnaud ;

Chabchoub, Amin ;

Dias, Frederic .

NATURE REVIEWS PHYSICS, 2019, 1 (11) :675-689

[6] Real-time spectral interferometry probes the internal dynamics of femtosecond soliton molecules [J].

Herink, G. ;

Kurtz, F. ;

Jalali, B. ;

Solli, D. R. ;

Ropers, C. .

SCIENCE, 2017, 356 (6333) :50-53

[7] EXACT SOLUTION OF KORTEWEG-DE VRIES EQUATION FOR MULTIPLE COLLISIONS OF SOLITONS [J].

HIROTA, R .

PHYSICAL REVIEW LETTERS, 1971, 27 (18) :1192-+

[8] EFFECT OF WEAK DISLOCATION POTENTIAL ON NONLINEAR-WAVE PROPAGATION IN ANHARMONIC CRYSTAL [J].

KONNO, K ;

KAMEYAMA, W ;

SANUKI, H .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1974, 37 (01) :171-176

[9] SUPERSONIC MOTION OF A CROWDION - ONE-DIMENSIONAL MODEL WITH NONLINEAR-INTERACTION BETWEEN NEAREST NEIGHBORS [J].

KOSEVICH, AM ;

KOVALEV, AS .

SOLID STATE COMMUNICATIONS, 1973, 12 (08) :763-765

[10] Real-Time Observation of Internal Motion within Ultrafast Dissipative Optical Soliton Molecules [J].

Krupa, Katarzyna ;

Nithyanandan, K. ;

Andral, Ugo ;

Tchofo-Dinda, Patrice ;

Grelu, Philippe .

PHYSICAL REVIEW LETTERS, 2017, 118 (24)

← 1 2 3 →