Results 1 to 10 of about 12,068 (314)
Travelling Wave Solutions to a Gradient System [PDF]
Transactions of the American Mathematical Society, 1988 Given a system of reaction-diffusion equations where the nonlinearity is derived from a potential with certain restrictions, we use the Conley index and the connection matrix to show that there is a travelling wave solution connecting the maxima of the potential.
James F. Reineck
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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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AIMS Mathematics, 2023 In this paper, we investigate the dynamical behavior of traveling waves for a generalized Vakhnenko-Parkes-modified Vakhnenko-Parkes (VP-mVP) equation with non-homogeneous power law nonlinearity.
Feiting Fan, Xingwu Chen
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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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Traveling wave solutions to a cubic predator-prey diffusion model with stage structure for the prey
AIMS Mathematics, 2022 In this paper, we investigate the traveling wave solutions to a cubic predator-prey diffusion model with stage structure for the prey. Firstly, using the upper and lower solutions method we prove the existence and non-existence of weak traveling wave ...
Yujuan Jiao , Jinmiao Yang, Hang Zhang
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Traveling wave solutions of a singular Keller-Segel system with logistic source
Mathematical Biosciences and Engineering, 2022 This paper is concerned with the traveling wave solutions of a singular Keller-Segel system modeling chemotactic movement of biological species with logistic growth. We first show the existence of traveling wave solutions with zero chemical diffusion in $
Tong Li, Zhi-An Wang
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Traveling wave solutions for an integrodifference equation of higher order
AIMS Mathematics, 2022 This article is concerned with the minimal wave speed of traveling wave solutions for an integrodifference equation of higher order. Besides the operator may be nonmonotone, the kernel functions may be not Lebesgue measurable and integrable such that the
Fuzhen Wu
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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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AIMS Mathematics, 2022 This article describes the construction of optical solitons and single traveling wave solutions of Biswas-Arshed equation with the beta time derivative. By using the polynomial complete discriminant system method, a series of traveling wave solutions are
Tianyong Han, Zhao Li, Jun Yuan
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