Results 1 to 10 of about 4,899,455 (291)

The generalized Kudryashov method to obtain exact traveling wave solutions of the PHI-four equation and the Fisher equation

Results in Physics, 2017
In recent years, searching exact traveling wave solutions to nonlinear evolution equations (NLEEs) has become a remarkable topic of research. In this article, we obtain exact traveling wave solutions of two significant NLEEs, namely, the PHI-four ...
Forhad Mahmud, Md Samsuzzoha, M. Ali Akbar   +2 more
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Analysis of equilibrium point based on viscous traffic flow model [PDF]

ITM Web of Conferences, 2022
In this paper, the phase plane analysis method is used, which can describe and predict the nonlinear traffic phenomenon on Expressway from the perspective of system global stability.
Ai Wenhuan, Ma Yunfei, Liu Dawei
doaj   +1 more source

Qualitative and quantitative fractional low-pass electrical transmission line model

Results in Physics, 2021
In this paper, the fractional low-pass electrical transmission line model is considered, whose fractional definition is defined by conformal fractional derivative.
Dongyan Dai
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General Traveling Wave Solutions of Nonlinear Conformable Fractional Sharma-Tasso-Olever Equations and Discussing the Effects of the Fractional Derivatives

Advances in Mathematical Physics, 2021
The exact traveling wave solution of the fractional Sharma-Tasso-Olever equation can be obtained by using the function expansion method, but the general traveling wave solution cannot be obtained.
Kai Fan, Rui Wang, Cunlong Zhou
doaj   +1 more source

Existence and Nonexistence of Traveling Wave Solutions for a Reaction–Diffusion Preys–Predator System with Switching Effect

Advances in Mathematical Physics, 2023
In this paper, we are concerned with traveling wave solutions for two preys–one predator system with switching effect. First, we discuss that there is no traveling wave solution for this system by using linearization method.
Hang Zhang, Yujuan Jiao, Jinmiao Yang
doaj   +1 more source

Traveling waves in cooperative predation: relaxation of sublinearity

Mathematics in Applied Sciences and Engineering, 2021
In this paper, we investigate traveling wave solutions of a diffusive predator-prey model which takes into consideration hunting cooperation. Sublinearity condition is violated for the function of cooperative predation. When the basic reproduction number
Srijana Ghimire, Xiang-Sheng Wang
doaj   +1 more source

Long-term filtration of particles in a porous medium [PDF]

BIO Web of Conferences
The formation of grout sediment in the pores of loose rock increases the water resistance of the soil and strengthens the foundation. A one-dimensional model of filtration in a porous medium considers the particles transport by the flow of a carrier ...
Kuzmina Liudmila, Osipov Yuri
doaj   +3 more sources

Traveling wave solutions for a class of reaction-diffusion system

Boundary Value Problems, 2021
In this paper we investigate the existence of traveling wave for a one-dimensional reaction diffusion system. We show that this system has a unique translation traveling wave solution.
Bingyi Wang, Yang Zhang
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Bifurcations of traveling wave solutions of a generalized Dullin-Gottwald-Holm equation

上海师范大学学报. 自然科学版, 2015
The bifurcations of traveling wave solutions of a generalized Dullin-Gottwald-Holm equation ut−α2uxxt+2ωux+βumux+γuxxx = α2(2uxuxx+uuxxx) is studied by using the method of planar dynamical systems. Different kinds of traveling wave solutions, such as the
FAN Xinghua, LI Shasha
doaj   +1 more source

Approximate Damped Oscillatory Solutions for Generalized KdV-Burgers Equation and Their Error Estimates

Abstract and Applied Analysis, 2011
We focus on studying approximate solutions of damped oscillatory solutions of generalized KdV-Burgers equation and their error estimates. The theory of planar dynamical systems is employed to make qualitative analysis to the dynamical systems which ...
Weiguo Zhang, Xiang Li
doaj   +1 more source