scholarly journals Transverse linear stability of line periodic traveling waves for water-wave models

2018 ◽  
pp. 1-12
Author(s):  
Mariana Haragus
Keyword(s):  
Linear Stability ◽  
Traveling Waves ◽  
Water Wave ◽  
Periodic Traveling Waves ◽  
Wave Models

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

scholarly journals Boussinesq-Peregrine water wave models and their numerical approximation

2020 ◽  
Vol 417 ◽  
pp. 109579
Author(s):  
Theodoros Katsaounis ◽  
Dimitrios Mitsotakis ◽  
Georges Sadaka
Keyword(s):  
Water Wave ◽  
Numerical Approximation ◽  
Wave Models

Completing the Study of Traveling Wave Solutions for Three Two-Component Shallow Water Wave Models

2020 ◽  
Vol 30 (03) ◽  
pp. 2050036 ◽  
Author(s):  
Jibin Li ◽  
Guanrong Chen ◽  
Jie Song
Keyword(s):  
Solitary Wave ◽  
Shallow Water ◽  
Traveling Wave ◽  
Water Wave ◽  
Wave System ◽  
Solitary Wave Solutions ◽  
Shallow Water Wave ◽  
Wave Solutions ◽  
Two Component ◽  
Wave Models

For three two-component shallow water wave models, from the approach of dynamical systems and the singular traveling wave theory developed in [Li & Chen, 2007], under different parameter conditions, all possible bounded solutions (solitary wave solutions, pseudo-peakons, periodic peakons, as well as smooth periodic wave solutions) are derived. More than 19 explicit exact parametric representations are obtained. Of more interest is that, for the integrable two-component generalization of the Camassa–Holm equation, it is found that its [Formula: see text]-traveling wave system has a family of pseudo-peakon wave solutions. In addition, its [Formula: see text]-traveling wave system has two families of uncountably infinitely many solitary wave solutions. The new results complete a recent study by Dutykh and Ionescu-Kruse [2016].

scholarly journals On the stability of periodic traveling waves for the modified Kawahara equation

2019 ◽  
pp. 1-8
Author(s):  
Gisele Detomazi Almeida ◽  
Fabrício Cristófani ◽  
Fábio Natali
Keyword(s):  
Traveling Waves ◽  
Kawahara Equation ◽  
Periodic Traveling Waves ◽  
The Stability
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