Higher-order rogue waves with new spatial distributions for the (2 + 1) -dimensional two-component long-wave-short-wave resonance interaction system

2016 ◽  
Vol 131 (11) ◽  
Author(s):  
Jin-Wei Yang ◽  
Yi-Tian Gao ◽  
Yu-Hao Sun ◽  
Yu-Jia Shen ◽  
Chuan-Qi Su
Keyword(s):  
Rogue Waves ◽  
Short Wave ◽  
Higher Order ◽  
Resonance Interaction ◽  
Spatial Distributions ◽  
Long Wave ◽  
Interaction System ◽  
Wave Resonance ◽  
Two Component

scholarly journals Dynamics of lumps and dark–dark solitons in the multi-component long-wave–short-wave resonance interaction system

2018 ◽  
Vol 474 (2209) ◽  
pp. 20170627 ◽  
Author(s):  
Jiguang Rao ◽  
Kuppuswamy Porsezian ◽  
Jingsong He ◽  
Thambithurai Kanna
Keyword(s):  
Mixed Type ◽  
Dark Soliton ◽  
Short Wave ◽  
Higher Order ◽  
Resonance Interaction ◽  
Rational Solutions ◽  
Dark Solitons ◽  
Long Wave ◽  
Interaction System ◽  
Wave Resonance

General semi-rational solutions of an integrable multi-component (2+1)-dimensional long-wave–short-wave resonance interaction system comprising multiple short waves and a single long wave are obtained by employing the bilinear method. These solutions describe the interactions between various types of solutions, including line rogue waves, lumps, breathers and dark solitons. We only focus on the dynamical behaviours of the interactions between lumps and dark solitons in this paper. Our detailed study reveals two different types of excitation phenomena: fusion and fission. It is shown that the fundamental (simplest) semi-rational solutions can exhibit fission of a dark soliton into a lump and a dark soliton or fusion of one lump and one dark soliton into a dark soliton. The non-fundamental semi-rational solutions are further classified into three subclasses: higher-order, multi- and mixed-type semi-rational solutions. The higher-order semi-rational solutions show the process of annihilation (production) of two or more lumps into (from) one dark soliton. The multi-semi-rational solutions describe N ( N ≥2) lumps annihilating into or producing from N -dark solitons. The mixed-type semi-rational solutions are a hybrid of higher-order semi-rational solutions and multi-semi-rational solutions. For the mixed-type semi-rational solutions, we demonstrate an interesting dynamical behaviour that is characterized by partial suppression or creation of lumps from the dark solitons.

scholarly journals Dynamics of solitons in multicomponent long wave–short wave resonance interaction system

Pramana ◽  
2015 ◽  
Vol 84 (3) ◽  
pp. 327-338 ◽  
Author(s):  
T KANNA ◽  
K SAKKARAVARTHI ◽  
M VIJAYAJAYANTHI ◽  
M LAKSHMANAN
Keyword(s):  
Short Wave ◽  
Resonance Interaction ◽  
Long Wave ◽  
Interaction System ◽  
Wave Resonance

scholarly journals NOTE ON THE TWO-COMPONENT ANALOGUE OF TWO-DIMENSIONAL LONG WAVE – SHORT WAVE RESONANCE INTERACTION SYSTEM

2009 ◽  
Vol 51 (A) ◽  
pp. 129-135 ◽  
Author(s):  
KEN-ICHI MARUNO ◽  
YASUHIRO OHTA ◽  
MASAYUKI OIKAWA
Keyword(s):  
Surface Wave ◽  
Wave Packets ◽  
Resonant Interaction ◽  
Short Wave ◽  
Resonance Interaction ◽  
Two Dimensional ◽  
Interfacial Wave ◽  
Long Wave ◽  
Wave Resonance ◽  
Two Component

AbstractAn integrable two-component analogue of the two-dimensional long wave – short wave resonance interaction (2c-2d-LSRI) system is studied. Wronskian solutions of 2c-2d-LSRI system are presented. A reduced case, which describes resonant interaction between an interfacial wave and two surface wave packets in a two-layer fluid, is also discussed.

Modeling internal rogue waves in a long wave-short wave resonance framework

2018 ◽  
Vol 3 (12) ◽  
Author(s):  
H. N. Chan ◽  
R. H. J. Grimshaw ◽  
K. W. Chow
Keyword(s):  
Rogue Waves ◽  
Short Wave ◽  
Long Wave ◽  
Wave Resonance
Sign in / Sign up

Export Citation Format

Share Document