Time Periodic Traveling Waves for a Periodic and Diffusive SIR Epidemic Model
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-016-9546-2
Abstract: In this paper, we study the time periodic traveling wave solutions for a periodic SIR epidemic model with diffusion and standard incidence. We establish the existence of periodic traveling waves by investigating the fixed points… read more here.
Keywords: time periodic; sir epidemic; traveling waves; epidemic model ... See more keywords
Periodic traveling-wave solutions to the Whitham equation
Sign Up to like & getrecommendations! Published in 2018 at "Mathematical Modelling of Natural Phenomena"
DOI: 10.1051/mmnp/2018026
Abstract: We investigate periodic traveling-wave solutions to the Whitham equation. It is shown that for solutions of this type, the Whitham equation can be expressed as a nonlinear integral equation of Hammerstein form. Solutions to this… read more here.
Keywords: wave solutions; solutions whitham; whitham equation; periodic traveling ... See more keywords
Orbital stability of periodic traveling wave solutions for the Kawahara equation
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DOI: 10.1063/1.4980016
Abstract: In this paper, we investigate the orbital stability of periodic traveling waves for the Kawahara equation. We prove that the periodic traveling wave, under certain conditions, minimizes a convenient functional by using an adaptation of… read more here.
Keywords: stability periodic; periodic traveling; kawahara equation; orbital stability ... See more keywords
Periodic traveling waves in the ϕ^{4} model: Instability, stability, and localized structures.
Sign Up to like & getrecommendations! Published in 2023 at "Physical review. E"
DOI: 10.1103/physreve.107.034210
Abstract: We consider the instability and stability of periodic stationary solutions to the classical ϕ^{4} equation numerically. In the superluminal regime, the model possesses dnoidal and cnoidal waves. The former are modulationally unstable and the spectrum forms… read more here.
Keywords: periodic traveling; instability; traveling waves; instability stability ... See more keywords
Nonlinear Stability of the Periodic Traveling Wave Solution for a Class of Coupled KdV Equations
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Mathematical Physics"
DOI: 10.1155/2020/3875038
Abstract: In this paper, by applying the Jacobian ellipse function method, we obtain a group of periodic traveling wave solution of coupled KdV equations. Furthermore, by the implicit function theorem, the relation between some wave velocity… read more here.
Keywords: wave solution; coupled kdv; kdv equations; solution ... See more keywords