Results 11 to 20 of about 319 (78)
Journal of Ocean Engineering and Science, 2022 In this paper we are interested in investigating the physical shape-changed propagations to the generalized Equal-Width equation through studying the explicit solutions of Wazwaz-Benjamin-Bona-Mahony model.
Imad Jaradat, Marwan Alquran
doaj
Saturated Fronts in Crowds Dynamics
Advanced Nonlinear Studies, 2021 We consider a degenerate scalar parabolic equation, in one spatial dimension, of flux-saturated type. The equation also contains a convective term. We study the existence and regularity of traveling-wave solutions; in particular we show that they can be ...
Campos Juan +2 more
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Traveling wave solutions of Benny Luke equation via the enhanced (G'/G)-expansion method
Ain Shams Engineering Journal, 2021 In this article, we execute the enhanced (G'/G)-expansion method to search for new and further general closed-form wave solutions to the nonlinear partial differential equation, namely the Benny Luke equation.
A.K.M. Kazi Sazzad Hossain, M. Ali Akbar
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Travelling wave solutions of a bistable reaction-diffusion equation with nonlinear jump discontinuity [PDF]
arXiv, 2022 This paper is concerned with the existence and the stability of travelling wave solutions to a bistable reaction-diffusion equation with a jump discontinuious point on nonlinear term. Sub-super solution method is used throughout this paper. As a matter of fact, this nonlinear discontinuity term is frequently emerging when study the travelling wave ...
arxiv
Exact solutions to a family of complex Ginzburg-Landau equations with cubic-quintic nonlinearity [PDF]
arXiv, 2023 In these notes, using the method of differential constraints, novel exact kink-like solutions are obtained for certain classes of complex Ginzburg--Landau equations with cubic-quintic nonlinearity. The foregoing solutions are presented in terms of the Lambert W function.
arxiv
Advances in Nonlinear AnalysisThis article is concerned with the stability of time-periodic traveling fronts for reaction–diffusion equations with time-periodic degenerate monostable and ignition nonlinearities.
Liu Yuan-Hao, Bu Zhen-Hui, Zhang Suobing
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Alexandria Engineering Journal, 2023 In this article, we discuss various solitary wave solutions that are extremely important in applied mathematics. In order to construct accurate solution to nonlinear fractional PDEs, we have employed the Khater technique to nonlinear equation for 3 ...
Asghar Ali, Jamshad Ahmad, Sara Javed
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A sufficient condition on successful invasion by the predator [PDF]
arXiv, 2023 In this paper, we provide a sufficient condition on successful invasion by the predator. Specially, we obtain the persistence of traveling wave solutions of predator-prey system, in which the predator can survive without the predation of the prey. This proof heavily depends on comparison principle of scalar monostable equation, the rescaling method and
arxiv
Lie analysis, conserved quantities and solitonic structures of Calogero-Degasperis-Fokas equation
Alexandria Engineering Journal, 2021 The paper investigates Calogero-Degasperis-Fokas (CDF) equation, an exactly solvable third order nonlinear evolution equation (Fokas, 1980). All possible functions for the unknown function F(ν) in the considered equation are listed that contains the ...
Adil Jhangeer +5 more
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On a scale of anisotropic Sobolev spaces [PDF]
arXiv, 2023 We introduce a scale of anisotropic Sobolev spaces defined through a three-parameter family of Fourier multipliers and study their functional analytic properties. These spaces arise naturally in PDE when studying traveling wave solutions, and we give some simple applications of the spaces in this direction.
arxiv