Results 31 to 40 of about 665 (107)
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
doaj +1 more source
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
doaj
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
Journal of Ocean Engineering and Science, 2022 This work aims to construct exact solutions for the space-time fractional (2 + 1)- dimensional dispersive longwave (DLW) equation and approximate long water wave equation (ALW) utilizing the two-variable (G′/G,1/G)-expansion method and the modified ...
Mohammad Asif Arefin +3 more
doaj
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
On a model for a sliding droplet:Well-posedness and stability of translating circular solutions
, 2017 In this paper the model for a highly viscous droplet sliding down an inclined plane is analyzed. It is shown that, provided the slope is not too steep, the corresponding moving boundary problem possesses classical solutions.
Guidotti, Patrick, Walker, Christoph
core +1 more source
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
doaj
Propagation of Delayed Lattice Differential Equations without Local Quasimonotonicity [PDF]
, 2014 This paper is concerned with the traveling wave solutions and asymptotic spreading of delayed lattice differential equations without quasimonotonicity.
Pan, Shuxia
core