Results 31 to 40 of about 123 (100)
Homoclinic and heteroclinic solutions to a hepatitis C evolution model
Open Mathematics, 2018 Homoclinic and heteroclinic solutions to a standard hepatitis C virus (HCV) evolution model described by T. C. Reluga, H. Dahari and A. S. Perelson, (SIAM J. Appl. Math., 69 (2009), pp. 999–1023) are considered in this paper.
Telksnys Tadas +4 more
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Variational theory of solitons for a higher order generalized Camassa-Holm equation
, 2017 In this paper we show the existence of travelling wave solutions for a higher order generalized Cammasa-Holm type equation. We follow a variational approach by characterizing travelling waves as critical points of a suitable functional.
Wilmer L. Molina, A. Montes, Jaime Tobar
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(Non)linear instability of periodic traveling waves: Klein–Gordon and KdV type equations
Advances in Nonlinear Analysis, 2014 We prove the existence and nonlinear instability of periodic traveling wave solutions for the critical one-dimensional Klein–Gordon equation. We also establish a linear instability criterium for a KdV type system.
Angulo Pava Jaime, Natali Fabio
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Partial Differential Equations in Applied Mathematics, 2023 In a range of nonlinear fields, for example molecular biology, physics in plasma, quantum mechanics, elastic media, nonlinear optics, the surface of water waves, and others, many complicated nonlinear behaviors can be pronounced using nonlinear ...
U.H.M. Zaman +3 more
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Existence of periodic traveling waves for the rotation-Kadomtsev-Petviashvili equation
, 2016 In this paper, via a variational approach, we study the existence of periodic traveling waves for the rotation Kadomtsev-Petviashvili equation. We show that those periodic solutions are characterized as critical points of some functional, for which the ...
A. Montes
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Transactions of the American Mathematical Society, 2019 This work is mainly motivated by the study of periodic wave train solutions for the so-called Gurtin-McCamy equation. To that aim we construct a smooth center manifold for a rather general class of abstract second order semi-linear differential equations
A. Ducrot, Pierre Magal
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Exact solutions for the ion sound Langmuir wave model by using two novel analytical methods
Results in Physics, 2020 In the present paper, the system of equations for the ion sound and Langmuir waves (SEISLWs) is considered to obtain the new solitary wave solutions of the non-linear evolution equations. Here, we used the relatively two new analytical methods to achieve
A. Tripathy, S. Sahoo
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Demonstratio MathematicaThis research aims to derive novel soliton solutions for a complex hyperbolic Schrödinger equation with a truncated M-fractional derivative. The selected equation is pivotal for its application in modeling various physical phenomena, such as nonlinear ...
Demirbilek Ulviye +2 more
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Advances in Nonlinear AnalysisThis article is concerned with the stability of time-periodic traveling fronts for reaction–diffusion equations with time-periodic degenerate monostable and ignition nonlinearities.
Liu Yuan-Hao, Bu Zhen-Hui, Zhang Suobing
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Interaction Solutions of Long and Short Waves in a Flexible Environment
Alexandria Engineering Journal, 2020 In this study, the new traveling wave solutions resulting from the interaction of the long-short wave system were obtained by using the exp-function method.
Tolga Akturk
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