scholarly journals Orbital Stability of Periodic Traveling Wave Solutions

10.5772/16005 ◽  
2011 ◽  
Author(s):  
Jaime Angulo ◽  
Fbio Natali
Keyword(s):  
Traveling Wave ◽  
Orbital Stability ◽  
Traveling Wave Solutions ◽  
Wave Solutions ◽  
Periodic Traveling Wave

ON THE INSTABILITY OF PERIODIC WAVES FOR DISPERSIVE EQUATIONS—REVISITED

2021 ◽  
pp. 1-23
Author(s):  
FÁBIO NATALI ◽  
SABRINA AMARAL
Keyword(s):  
Traveling Wave ◽  
Orbital Stability ◽  
Traveling Wave Solutions ◽  
Spectral Stability ◽  
Dispersive Equations ◽  
Periodic Waves ◽  
General Proof ◽  
Wave Solutions ◽  
Periodic Traveling Wave

Abstract The purpose of this paper is to present an extension of the results in [8]. We establish a more general proof for the moving kernel formula to prove the spectral stability of periodic traveling wave solutions for the regularized Benjamin–Bona–Mahony type equations. As applications of our analysis, we show the spectral instability for the quintic Benjamin–Bona–Mahony equation and the spectral (orbital) stability for the regularized Benjamin–Ono equation.

Orbital stability of periodic traveling wave solutions to the generalized zakharov equations

2017 ◽  
Vol 37 (4) ◽  
pp. 998-1018 ◽  
Author(s):  
Xiaoxiao ZHENG ◽  
Yadong SHANG ◽  
Xiaoming PENG
Keyword(s):  
Traveling Wave ◽  
Orbital Stability ◽  
Traveling Wave Solutions ◽  
Wave Solutions ◽  
Periodic Traveling Wave

ORBITAL STABILITY OF PERIODIC TRAVELING WAVE SOLUTIONS TO THE GENERALIZED LONG-SHORT WAVE EQUATIONS

2019 ◽  
Vol 9 (6) ◽  
pp. 2389-2408 ◽  
Author(s):  
Xiaoxiao Zheng ◽  
◽  
Jie Xin ◽  
Xiaoming Peng ◽  
Keyword(s):  
Traveling Wave ◽  
Wave Equations ◽  
Orbital Stability ◽  
Traveling Wave Solutions ◽  
Short Wave ◽  
Wave Solutions ◽  
Periodic Traveling Wave

scholarly journals Orbital stability of periodic traveling-wave solutions for the regularized Schamel equation

2016 ◽  
Vol 317 ◽  
pp. 43-58 ◽  
Author(s):  
Thiago Pinguello de Andrade ◽  
Ademir Pastor
Keyword(s):  
Traveling Wave ◽  
Orbital Stability ◽  
Traveling Wave Solutions ◽  
Wave Solutions ◽  
Periodic Traveling Wave

Orbital stability of periodic traveling wave solutions for the Kawahara equation

2017 ◽  
Vol 58 (5) ◽  
pp. 051504 ◽  
Author(s):  
Thiago Pinguello de Andrade ◽  
Fabrício Cristófani ◽  
Fábio Natali
Keyword(s):  
Traveling Wave ◽  
Orbital Stability ◽  
Traveling Wave Solutions ◽  
Kawahara Equation ◽  
Wave Solutions ◽  
Periodic Traveling Wave

scholarly journals Orbital stability of periodic traveling-wave solutions for the log-KdV equation

2017 ◽  
Vol 263 (5) ◽  
pp. 2630-2660 ◽  
Author(s):  
Fábio Natali ◽  
Ademir Pastor ◽  
Fabrício Cristófani
Keyword(s):  
Traveling Wave ◽  
Kdv Equation ◽  
Orbital Stability ◽  
Traveling Wave Solutions ◽  
Wave Solutions ◽  
Periodic Traveling Wave

scholarly journals Periodic traveling--wave solutions of nonlinear dispersive evolution equations

2013 ◽  
Vol 33 (11/12) ◽  
pp. 4841-4873 ◽  
Author(s):  
Hongqiu Chen ◽  
Jerry Bona
Keyword(s):  
Traveling Wave ◽  
Evolution Equations ◽  
Traveling Wave Solutions ◽  
Wave Solutions ◽  
Periodic Traveling Wave
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