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Traveling Wave Solutions for Epidemic Cholera Model with Disease-Related Death [PDF]
The Scientific World Journal, 2014 Based on Codeço’s cholera model (2001), an epidemic cholera model that incorporates the pathogen diffusion and disease-related death is proposed. The formula for minimal wave speed c∗ is given.
Tianran Zhang, Qingming Gou
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Explicit solutions for the coupled nonlinear Drinfeld–Sokolov–Satsuma–Hirota system
Results in Physics, 2021 In this paper, we firstly solve the auxiliary elliptic equation and obtain the explicit solutions to the equation. Then, by the modified polynomial expansion method, we obtain more new explicit solutions for the coupled nonlinear Drinfeld–Sokolov–Satsuma–
Junliang Lu +3 more
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New periodic exact traveling wave solutions of Camassa–Holm equation
Partial Differential Equations in Applied Mathematics, 2022 In Zhang et al. (2007) and Zhang (2021) we constructed all single-peak traveling wave solutions of the Camassa–Holm equation including some explicit solutions. In general it is a challenge to construct exact multi-peak traveling wave solutions.
Guoping Zhang
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Minimal Wave Speed in an Integrodifference System of Predator-Prey Type
Discrete Dynamics in Nature and Society, 2020 This article studies the minimal wave speed of traveling wave solutions in an integrodifference predator-prey system that does not have the comparison principle. By constructing generalized upper and lower solutions and utilizing the theory of asymptotic
Baoju Sun, Fuzhen Wu
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Exact Traveling Wave Solutions in Viscoelastic Channel Flow [PDF]
Physical Review Letters, 2020 Elasto-inertial turbulence (EIT) is a new, two-dimensional chaotic flow state observed in polymer solutions with possible connections to inertialess elastic turbulence and drag-reduced Newtonian turbulence. In this Letter, we argue that the origins of EIT are fundamentally different from Newtonian turbulence by finding a dynamical connection between ...
Jacob Page +2 more
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Discrete Dynamics in Nature and Society, 2021 In this paper, the bifurcation, phase portraits, traveling wave solutions, and stability analysis of the fractional generalized Hirota–Satsuma coupled KdV equations are investigated by utilizing the bifurcation theory. Firstly, the fractional generalized
Zhao Li, Peng Li, Tianyong Han
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Minimal Wave Speed in a Competitive Integrodifference System without Comparison Principle
Mathematics, 2019 We investigate the traveling wave solutions of a competitive integrodifference system without comparison principle. In the earlier conclusions, a threshold of wave speed is defined while the existence or nonexistence of traveling wave solutions remains ...
Luping Li +3 more
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上海师范大学学报. 自然科学版, 2018 We study bifurcation of traveling wave solutions of a class of (3+1)-dimensional nonlinear evolution equations generated by the Jaulent-Miodek hierarchy.
He Bin, Zhao Litong, Li Jing, Tian Zheng
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Nematicons in liquid crystals with Kerr Law by sub-equation method
Alexandria Engineering Journal, 2022 In this study, trigonometric and hyperbolic type traveling wave solutions are produced by using the sub-equation analytical method by taking into account the Kerr Law properties of the equation defining nematic liquid crystals.
Serbay Duran, Bayhan Karabulut
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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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