scholarly journals Sufficient conditions for orbital stability of periodic traveling waves

2019 ◽  
Vol 267 (2) ◽  
pp. 879-901 ◽  
Author(s):  
Giovana Alves ◽  
Fábio Natali ◽  
Ademir Pastor
Keyword(s):  
Traveling Waves ◽  
Sufficient Conditions ◽  
Orbital Stability ◽  
Periodic Traveling Waves

scholarly journals Nonlinear Stability of Periodic Traveling Wave Solutions for(n +1)-Dimensional Coupled Nonlinear Klein-Gordon Equations

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Cong Sun ◽  
Bo Jiang
Keyword(s):  
Traveling Waves ◽  
Traveling Wave ◽  
Orbital Stability ◽  
Traveling Wave Solutions ◽  
Optical Fiber Communication ◽  
Fiber Communication ◽  
Periodic Traveling Waves ◽  
Klein Gordon ◽  
Periodic Traveling Wave ◽  
The Stability

We study the existence and orbital stability of smooth periodic traveling waves solutions of the(n +1)-dimensional coupled nonlinear Klein-Gordon equations. Such a system occurs in quantum mechanics, fluid mechanics, and optical fiber communication. Inspired by Angulo Pava’s results (2007), and by applying the stability theory established by Grillakis et al. (1987), we prove the existence of periodic traveling waves solutions and obtain the orbital stability of the solutions to this system.

scholarly journals Speed determinacy of the traveling waves for a three species time-periodic Lotka-Volterra competition system

2021 ◽  
Author(s):  
Qiong Wu ◽  
Chaohong Pan ◽  
Hongyong Wang
Keyword(s):  
Traveling Waves ◽  
Upper And Lower Solutions ◽  
Sufficient Conditions ◽  
Lower Solution ◽  
Competition System ◽  
Periodic Traveling Waves ◽  
Minimal Wave Speed ◽  
Speed Selection ◽  
Time Periodic ◽  
Selection Of

In this paper, speed selection of the time periodic traveling waves for a three species time-periodic Lotka-Volterra competition system is studied via the upper-lower solution method as well as the comparison principle. Through constructing specific types of upper and lower solutions to the system, the speed selection of the minimal wave speed can be determined under some sets of sufficient conditions composed of the parameters in the system.

scholarly journals Stability of periodic traveling waves for complex modified Korteweg–de Vries equation

2010 ◽  
Vol 248 (10) ◽  
pp. 2608-2627 ◽  
Author(s):  
Sevdzhan Hakkaev ◽  
Iliya D. Iliev ◽  
Kiril Kirchev
Keyword(s):  
Traveling Waves ◽  
Vries Equation ◽  
Periodic Traveling Waves ◽  
De Vries
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