Results 1 to 10 of about 544,293 (332)
Heliyon, 2021 In this current study, we described a modified extended tanh-function (mETF) method to find the new and efficient exact travelling and solitary wave solutions to the modified Liouville equation and modified regularized long wave (mRLW) equation in water ...
Abdulla - Al Mamun +5 more
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Exact travelling wave solution for the local fractional Camassa-Holm-Kadomtsev-Petviashvili equation
Alexandria Engineering Journal, 2023 In this work, the local fractional Camassa-Holm-Kadomtsev–Petviashvili equation (LFCHKPE) is defined on Cantor sets by using the local fractional derivative for the first time.
KangLe Wang
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Absolute instabilities of travelling wave solutions in a Keller–Segel model [PDF]
, 2016 We investigate the spectral stability of travelling wave solutions in a Keller–Segel model of bacterial chemotaxis with a logarithmic chemosensitivity function and a constant, sublinear, and linear consumption rate. Linearising around the travelling wave
P. N. Davis, P. Heijster, R. Marangell
semanticscholar +3 more sources
Solitary waves travelling along an unsmooth boundary
Results in Physics, 2021 It is well-known that the boundary conditions will greatly affect the wave shape of a nonlinear wave equation. This paper reveals that the peak of a solitary wave is weakly affected by the unsmooth boundary.
Ji-Huan He, Na Qie, Chun-Hui He
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Travelling-wave analysis of a model of tumour invasion with degenerate, cross-dependent diffusion [PDF]
Proceedings of the Royal Society A, 2021 In this paper, we carry out a travelling-wave analysis of a model of tumour invasion with degenerate, cross-dependent diffusion. We consider two types of invasive fronts of tumour tissue into extracellular matrix (ECM), which represents healthy tissue ...
C. Colson +4 more
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New Travelling Wave Solution of Burgers Equations
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2021 In this paper, we studied the travelling wave solving for some models of Burger's equations. We used sine-cosine method to solution nonlinear equation and we used direct solution after getting travelling wave equation.
Zainab John, Basim Akhudir Abbas
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Nonlinear dynamics, 2023 The Landau-Ginzburg-Higgs (LGH) equation explains the ocean engineering models, superconductivity and drift cyclotron waves in radially inhomogeneous plasma for coherent ion-cyclotron waves.
Mohamed R. Ali, M. Khattab, S. Mabrouk
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, 2021 This study’s prime goal is to explore new and exact travelling wave solutions to the time-fractional phi-four equation and the (2+1) dimensional Calogero-Bogoyavlanskil schilf (CBS) equation in the context of nonlinear travelling wave phenomena.
Lohani Md. Badrul Alam +2 more
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Numerical Analysis and Approximate Travelling Wave Solutions for a Higher Order Internal Wave System
Trends in Computational and Applied Mathematics, 2022 In this work we focus on the numerical solution of a higher order bidirectional nonlinear model of Boussinesq type involving a nonlocal operator. Based on a von Neumann stability analysis for the linearized problem, an efficient and stable scheme for ...
W. C. Lesinhovski, A. Ruiz de Zárate
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Minimal travelling wave speed and explicit solutions in monostable reaction-diffusion equations
Electronic Journal of Qualitative Theory of Differential Equations, 2020 We investigate the connection between the existence of an explicit travelling wave solution and the travelling wave with minimal speed in a scalar monostable reaction-diffusion equation.
Elaine Crooks, Michael Grinfeld
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