Results 1 to 10 of about 10,323 (288)
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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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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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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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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Alexandria Engineering Journal, 2014 The new approach of generalized (G′/G)-expansion method is significant, powerful and straightforward mathematical tool for finding exact traveling wave solutions of nonlinear evolution equations (NLEEs) arise in the field of engineering, applied ...
Md. Nur Alam +2 more
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Results in Physics, 2017 In recent years, searching exact traveling wave solutions to nonlinear evolution equations (NLEEs) has become a remarkable topic of research. In this article, we obtain exact traveling wave solutions of two significant NLEEs, namely, the PHI-four ...
Forhad Mahmud +2 more
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Results in Physics, 2018 In this current work, we employ novel methods to find the exact travelling wave solutions of Modified Liouville equation and the Symmetric Regularized Long Wave equation, which are called extended simple equation and exp(-Ψ(ξ))-expansion methods.
Dianchen Lu, Aly R. Seadawy, Asghar Ali
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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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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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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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