Results 1 to 10 of about 665 (107)
New Soliton Applications in Earth's Magnetotail Plasma at Critical Densities
Frontiers in Physics, 2020 New plasma wave solutions of the modified Kadomtsev Petviashvili (MKP) equation are presented. These solutions are written in terms of some elementary functions, including trigonometric, rational, hyperbolic, periodic, and explosive functions.
Hesham G. Abdelwahed +6 more
doaj +2 more sources
Selfsimilar solutions in a sector for a quasilinear parabolic equation [PDF]
Networks and Heterogeneous Media, Vol. 7, No. 4, (2012), 857-879, 2012 We study a two-point free boundary problem in a sector for a quasilinear parabolic equation. The boundary conditions are assumed to be spatially and temporally "self-similar" in a special way.
A. Friedman +17 more
core +2 more sources
Asymptotic Spreading Fastened by Inter-Specific Coupled Nonlinearities: a Cooperative System [PDF]
, 2012 This paper is concerned with the asymptotic spreading of a Lotka-Volterra cooperative system. By using the theory of asymptotic spreading of nonautonomous equations, the asymptotic speeds of spreading of unknown functions formulated by a coupled system ...
Lin, Guo
core +2 more sources
Global exponential convergence to variational traveling waves in cylinders [PDF]
SIAM J. Math. Anal. 44, 293--315 (2012), 2011 We prove, under generic assumptions, that the special variational traveling wave that minimizes the exponentially weighted Ginzburg-Landau functional associated with scalar reaction-diffusion equations in infinite cylinders is the long-time attractor for
Barenblatt G. I. +10 more
core +2 more sources
Solitary Wave Solutions for a Generalized KdV Equation with High Power Nonlinearities
Journal of Physics: Conference Series, 2022 In current paper, a generalized KdV equation with high order nonlinearities has been investigated by the expansion and the ansatz method. The obtained solutions can be classified as periodic soliton solution, kink solution, triangular soliton solution ...
Rui Wu +7 more
semanticscholar +1 more source
Nonlinear Engineering, 2023 In this work, the generalized scale-invariant analog of the Korteweg–de Vries equation is studied. For the first time, the tanh–coth methodology is used to find traveling wave solutions for this nonlinear equation.
González-Gaxiola Oswaldo +1 more
doaj +1 more source
Front propagation in a double degenerate equation with delay
Advances in Nonlinear Analysis, 2023 The current article is concerned with the traveling fronts for a class of double degenerate equations with delay. We first show that the traveling fronts decay algebraically at one end, while those may decay exponentially or algebraically at the other ...
Bo Wei-Jian, Wu Shi-Liang, Du Li-Jun
doaj +1 more source
New Soliton Solutions for the Higher-Dimensional Non-Local Ito Equation
Nonlinear Engineering, 2021 In this article, (2+1)-dimensional Ito equation that models waves motion on shallow water surfaces is analyzed for exact analytic solutions. Two reliable techniques involving the simplest equation and modified simplest equation algorithms are utilized to
Inc Mustafa +5 more
doaj +1 more source
Exponential stability of traveling waves for a nonlocal dispersal SIR model with delay
Open Mathematics, 2022 This article is concerned with the nonlinear stability of traveling waves of a delayed susceptible-infective-removed (SIR) epidemic model with nonlocal dispersal, which can be seen as a continuity work of Li et al.
Wu Xin, Ma Zhaohai
doaj +1 more source
Advances in Differential Equations, 2014 In this paper, we propose a new fractional Jacobi elliptic equation method to seek exact solutions of fractional partial differential equations. Based on a traveling wave transformation, certain fractional partial differential equation can be turned into
B. Zheng
semanticscholar +2 more sources