Results 51 to 60 of about 665 (107)
Stability and instability for subsonic travelling waves of the Nonlinear Schrödinger Equation in dimension one [PDF]
Anal. PDE 6 (2013) 1327-1420, 2012 We study the stability/instability of the subsonic travelling waves of the Nonlinear Schr\"odinger Equation in dimension one. Our aim is to propose several methods for showing instability (use of the Grillakis-Shatah-Strauss theory, proof of existence of an unstable eigenvalue via an Evans function) or stability. For the later, we show how to construct
arxiv +1 more source
Alexandria Engineering Journal, 2022 The space–time fractional coupled modified equal-width equation and the coupled Boussinesq equation are a category of fractional partial differential equations, which might be crucial mathematical feathers in nonlinear optics, solid-state physics ...
M. Ayesha Khatun +4 more
doaj
Semi-wavefront solutions in models of collective movements with density-dependent diffusivity [PDF]
arXiv, 2017 This paper deals with a nonhomogeneous scalar parabolic equation with possibly degenerate diffusion term; the process has only one stationary state. The equation can be interpreted as modeling collective movements (crowd dynamics, for instance).
arxiv
Super-linear spreading in local and non-local cane toads equations [PDF]
, 2015 In this paper, we show super-linear propagation in a nonlocal reaction-diffusion-mutation equation modeling the invasion of cane toads in Australia that has attracted attention recently from the mathematical point of view.
Bouin, Emeric +2 more
core +1 more source
Results in Physics, 2021 The computational solutions for the fractional mathematical system form of the HIV-1 infection of CD4+ T-cells are investigated by employing three recent analytical schemes along the Atangana–Baleanu fractional (ABF) derivative. This model is affected by
Mostafa M.A. Khater +2 more
doaj
Variable separated ODE method--A powerful tool for testing traveling wave solutions of nonlinear equations [PDF]
arXiv, 2018 The variable separated ODE method is extended by choosing the additional variable separated equation as the general elliptic equation. More exact traveling wave solutions of nonlinear equations are obtained by using the method of comparison of coefficients and the known solutions of the auxiliary equation.
arxiv
Journal of Ocean Engineering and Science, 2022 This paper systematically investigates the exact solutions to an extended (2+1)-dimensional Boussinesq equation, which arises in several physical applications, including the propagation of shallow-water waves, with the help of the Lie symmetry analysis ...
Sachin Kumar, Setu Rani
doaj
Bistable Traveling Waves for Monotone Semiflows with Applications [PDF]
arXiv, 2011 This paper is devoted to the study of traveling waves for monotone evolution systems of bistable type. Under an abstract setting, we establish the existence of bistable traveling waves for discrete and continuous-time monotone semiflows. This result is then extended to the cases of periodic habitat and weak compactness, respectively.
arxiv
Interaction Solutions of Long and Short Waves in a Flexible Environment
Alexandria Engineering Journal, 2020 In this study, the new traveling wave solutions resulting from the interaction of the long-short wave system were obtained by using the exp-function method.
Tolga Akturk
doaj
Existence of travelling waves for a reaction-diffusion system with a line of fast diffusion [PDF]
arXiv, 2014 We prove existence and uniqueness of travelling waves for a reaction-diffusion system coupling a classical reaction-diffusion equation in a strip with a diffusion equation on a line. To do this we use a continuation method which leads to further insight into the system.
arxiv