scholarly journals Bright and dark solitons on the surface of finite-depth fluid below the modulation instability threshold

2017 ◽  
Vol 381 (21) ◽  
pp. 1784-1790 ◽  
Author(s):  
I.S. Gandzha ◽  
Yu.V. Sedletsky
Keyword(s):  
Modulation Instability ◽  
Finite Depth ◽  
Instability Threshold ◽  
Dark Solitons

Soliton interactions and modulation instability for the N-coupled complex short pulse equations in an optical fiber

2018 ◽  
Vol 32 (22) ◽  
pp. 1850252
Author(s):  
Yu-Feng Wang ◽  
Bo-Ling Guo
Keyword(s):  
Bound States ◽  
Mixed Type ◽  
Modulation Instability ◽  
Short Pulse ◽  
Soliton Solutions ◽  
Ultrashort Pulses ◽  
Soliton Interactions ◽  
Dark Solitons ◽  
Wave Solutions ◽  
Nonlinear Fiber

Under investigation in this paper are the N-coupled complex short pulse (N-CSP) equations, which describe the propagation of simultaneous N ultrashort pulses in a nonlinear fiber medium. Through the Hirota method, the m-bright-n-dark [Formula: see text] soliton solutions are obtained. Elastic and inelastic interactions between the mixed-type solitons are derived through the asymptotic analysis. As an example, the oblique interactions and the bound states of the 2-bright-1-dark and 1-bright-2-dark solitons for 3-CSP equations are analyzed graphically. Finally, the condition of the modulation instability of the plane-wave solutions for 2-CSP equations is given through the linear stability analysis.

scholarly journals New Exact Solutions and Modulation Instability for the Nonlinear (2+1)-Dimensional Davey-Stewartson System of Equation

2019 ◽  
Vol 2019 ◽  
pp. 1-15
Author(s):  
Kwasi Boateng ◽  
Weiguo Yang ◽  
Wilson Osafo Apeanti ◽  
David Yaro
Keyword(s):  
Elliptic Equation ◽  
Exact Solutions ◽  
Rational Function ◽  
Water Waves ◽  
Modulation Instability ◽  
Finite Depth ◽  
Equation System ◽  
Physical Characteristics ◽  
New Exact Solutions ◽  
The Waves

The Davey-Stewartson Equation (DSE) is an equation system that reflects the evolution in finite depth of soft nonlinear packets of water waves that move in one direction but in which the waves’ amplitude is modulated in spatial directions. This paper uses the Generalized Elliptic Equation Rational Expansion (GEERE) technique to extract fresh exact solutions for the DSE. As a consequence, solutions with parameters of trigonometric, hyperbolic, and rational function are achieved. To display the physical characteristics of this model, the solutions obtained are graphically displayed. Modulation instability assessment of the outcomes acquired is also discussed and it demonstrates that all the solutions built are accurate and stable.

Effect of Raman amplification on the modulation instability threshold

2018 ◽  
Vol 57 (03) ◽  
pp. 1
Author(s):  
Shilin Sun ◽  
Xiaoyang Hu ◽  
Mo Chen ◽  
Yi Yu ◽  
Zhou Meng
Keyword(s):  
Modulation Instability ◽  
Instability Threshold ◽  
Raman Amplification

Nonlinear Pulse Propagation and Modulation Instability in Periodic Media with and without Defects

PIERS Online ◽  
2006 ◽  
Vol 2 (2) ◽  
pp. 177-181
Author(s):  
V. Grimalsky ◽  
Svetlana Koshevaya ◽  
Javier Sanchez-Mondragon ◽  
Margarita Tecpoyotl Torres ◽  
J. Escobedo Alatorre
Keyword(s):  
Pulse Propagation ◽  
Modulation Instability ◽  
Periodic Media ◽  
Nonlinear Pulse Propagation

Source Term Balance for Finite Depth Wind Waves

2000 ◽  
Author(s):  
Ian R. Young ◽  
Michael L. Banner ◽  
Mark M. Donelan
Keyword(s):  
Source Term ◽  
Wind Waves ◽  
Finite Depth
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