Oscillatory travelling wave solutions for coagulation equations [PDF]
Quarterly of Applied Mathematics, 2017 We consider Smoluchowski's coagulation equation with kernels of homogeneity one of the form $K_{\varepsilon }( , ) =\big( ^{1-\varepsilon }+ ^{1-\varepsilon }\big)\big ( \big) ^{\frac{\varepsilon }{2}}$. Heuristically, in suitable exponential variables, one can argue that in this case the long-time behaviour of solutions is similar to the ...
Barbara Niethammer +1 more
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Smooth and non-smooth traveling wave solutions of some generalized Camassa–Holm equations [PDF]
, 2013 In this paper we employ two recent analytical approaches to investigate the possible classes of traveling wave solutions of some members of a recently-derived integrable family of generalized Camassa-Holm (GCH) equations.
T. Rehman, G. Gambino, S. Roy Choudhury
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A Generalized KdV Equation of Neglecting the Highest-Order Infinitesimal Term and Its Exact Traveling Wave Solutions [PDF]
Abstract and Applied Analysis, 2013 We study a generalized KdV equation of neglecting the highest order infinitesimal term, which is an important water wave model. Some exact traveling wave solutions such as singular solitary wave solutions, semiloop soliton solutions, dark soliton ...
Xianbin Wu, Weiguo Rui, Xiaochun Hong
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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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A study of traveling wave solutions and modulation instability in the (3+1)-dimensional Sakovich equation employing advanced analytical techniques. [PDF]
Sci RepAhmad J +5 more
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Traveling wave solutions of the Boussinesq equation via the new approach of generalized (G'/G)-expansion method. [PDF]
Springerplus, 2014 Alam MN, Akbar MA, Roshid HO.
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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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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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