Results 11 to 20 of about 8,345 (262)
The Bifurcations of Traveling Wave Solutions of the Kundu Equation [PDF]
Journal of Applied Mathematics, 2013 We use the bifurcation method of dynamical systems to study the bifurcations of traveling wave solutions for the Kundu equation. Various explicit traveling wave solutions and their bifurcations are obtained.
Yating Yi, Zhengrong Liu
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A traveling-wave solution for bacterial chemotaxis with growth [PDF]
Proceedings of the National Academy of Sciences, 2021 Significance Motility is one of the most striking bacterial behaviors common among many species. Motile bacteria can expand rapidly into previously unoccupied habitats, thus increasing fitness. Fast expansion is fostered by the sensing of gradients which the bacteria generate themselves and is further boosted by cell growth.
Avaneesh V. Narla +2 more
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Catching a wave: On the suitability of traveling-wave solutions in epidemiological modeling. [PDF]
Theor Popul Biol, 2023 Abstract Ordinary differential equation models such as the classical SIR model are widely used in epidemiology to study and predict infectious disease dynamics. However, these models typically assume that populations are homogeneously mixed, ignoring possible variations in disease prevalence due to spatial heterogeneity. To address this
Langmüller AM +3 more
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Travelling Wave Solutions of the Schrödinger‐Boussinesq System [PDF]
Abstract and Applied Analysis, 2012 We establish exact solutions for the Schrödinger‐Boussinesq System iut + uxx − auv = 0, , where a and b are real constants. The (G′/G)‐expansion method is used to construct exact periodic and soliton solutions of this equation. Our work is motivated by the fact that the (G′/G)‐expansion method provides not only more general forms of solutions but also ...
Kılıcman, Adem, Abazari, Reza
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Results in Physics, 2016 In this manuscript, we constructed different form of new exact solutions of generalized coupled Zakharov–Kuznetsov and dispersive long wave equations by utilizing the modified extended direct algebraic method.
M. Arshad +3 more
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Advances in Mathematical Physics, 2023 In this paper, we are concerned with traveling wave solutions for two preys–one predator system with switching effect. First, we discuss that there is no traveling wave solution for this system by using linearization method.
Hang Zhang, Yujuan Jiao, Jinmiao Yang
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Application of Bifurcation Method to the Generalized Zakharov Equations
Abstract and Applied Analysis, 2012 We use the bifurcation method of dynamical systems to study the traveling wave solutions for the generalized Zakharov equations. A number of traveling wave solutions are obtained.
Ming Song
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Frontiers in Applied Mathematics and Statistics, 2022 In this article, we construct exact traveling wave solutions of the loaded Korteweg-de Vries, the loaded modified Korteweg-de Vries, and the loaded Gardner equation by the functional variable method.
Bazar Babajanov, Fakhriddin Abdikarimov
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Traveling wave solutions to the Allen–Cahn equation
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2022 For the Allen–Cahn equation, it is well known that there is a monotone standing wave joining the balanced wells of the potential. In this paper we study the existence of traveling wave solutions for the Allen–Cahn equation on an infinite channel. Such traveling wave solutions possess a large number of oscillations and they are obtained with the aid of ...
Chen, Chao-Nien, Coti Zelati, Vittorio
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Minimal Wave Speed in a Predator-Prey System with Distributed Time Delay
Discrete Dynamics in Nature and Society, 2018 This paper is concerned with the minimal wave speed of traveling wave solutions in a predator-prey system with distributed time delay, which does not satisfy comparison principle due to delayed intraspecific terms.
Fuzhen Wu, Dongfeng Li
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