scholarly journals Nonsingular complexiton solutions and resonant waves to an extended Jimbo–Miwa equation

2021 ◽  
Vol 20 ◽  
pp. 103711
Author(s):  
Li Cheng ◽  
Yi Zhang ◽  
Wen-Xiu Ma
Keyword(s):  
Complexiton Solutions ◽  
Resonant Waves

Resonant waves

2020 ◽  
Author(s):  
Richard Grillotti ◽  
Andy DiLallo ◽  
Angus G. Forbes
Keyword(s):  
Resonant Waves

Optical solitons for coupled Fokas–Lenells equation in birefringence fibers

2019 ◽  
Vol 33 (26) ◽  
pp. 1950317 ◽  
Author(s):  
Nauman Raza ◽  
Saima Arshed ◽  
Sultan Sial
Keyword(s):  
Integral Method ◽  
Expansion Method ◽  
First Integral ◽  
Optical Solitons ◽  
Optical Soliton ◽  
First Integral Method ◽  
Complexiton Solutions ◽  
Existence Criterion

This paper discusses bright, dark and singular optical soliton as well as complexiton solutions to the coupled Fokas–Lenells equation (FLE) for birefringent fibers by three integration tools such as [Formula: see text]-expansion method, the first integral method and the sine-Gordon expansion method. The existence criterion of these solutions is also given.

scholarly journals On the existence of steady-state resonant waves in experiments

2014 ◽  
Vol 763 ◽  
pp. 1-23 ◽  
Author(s):  
Z. Liu ◽  
D. L. Xu ◽  
J. Li ◽  
T. Peng ◽  
A. Alsaedi ◽  
...  
Keyword(s):  
Experimental Investigation ◽  
Steady State ◽  
Multiple Solutions ◽  
Wave Spectra ◽  
Ocean Engineering ◽  
System Error ◽  
Exact Resonance ◽  
Wave Trains ◽  
Theoretical Results ◽  
Resonant Waves

AbstractThis paper describes an experimental investigation of steady-state resonant waves. Several co-propagating short-crested wave trains are generated in a basin at the State Key Laboratory of Ocean Engineering (SKLOE) in Shanghai, and the wavefields are measured and analysed both along and normal to the direction of propagation. These steady-state resonant waves are first calculated theoretically under the exact resonance criterion with sufficiently high nonlinearity, and then are generated in the basin by means of the main wave components that contain at least 95 % of the wave energy. The steady-state wave spectra are quantitatively observed within the inherent system error of the basin and identified by means of a contrasting experiment. Both symmetrical and anti-symmetrical steady-state resonant waves are observed and the experimental and theoretical results show excellent agreement. These results offer the first experimental evidence of the existence of steady-state resonant waves with multiple solutions.

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