On the stability of periodic traveling waves for the modified Kawahara equation
نویسندگان
چکیده
منابع مشابه
Linear Stability Analysis for Periodic Traveling Waves of the Boussinesq Equation and the Kgz System
The question for linear stability of spatially periodic waves for the Boussinesq equation (the cases p = 2, 3) and the Klein-Gordon-Zakharov system is considered. For a wide class of solutions, we completely and explicitly characterize their linear stability (instability respectively), when the perturbations are taken with the same period T . In particular, our results allow us to completely re...
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چکیده ندارد.
15 صفحه اولStability of small periodic waves for the nonlinear Schrödinger equation
The nonlinear Schrödinger equation possesses three distinct six-parameter families of complexvalued quasi-periodic travelling waves, one in the defocusing case and two in the focusing case. All these solutions have the property that their modulus is a periodic function of x−ct for some c ∈ R. In this paper we investigate the stability of the small amplitude travelling waves, both in the defocus...
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ژورنال
عنوان ژورنال: Applicable Analysis
سال: 2019
ISSN: 0003-6811,1563-504X
DOI: 10.1080/00036811.2019.1659955