Results 21 to 30 of about 168,001 (284)

Traveling waves in a parabolic problem with a rotation on the circle [PDF]

open access: yesКомпьютерные исследования и моделирование, 2017
Optical systems with two-dimensional feedback demonstrate wide possibilities for studying the nucleation and development processes of dissipative structures.
Yuliya Aleksandrovna Khazova
doaj   +1 more source

Travelling Wave Solutions to a Gradient System [PDF]

open access: yesTransactions of the American Mathematical Society, 1988
Given a system of reaction-diffusion equations where the nonlinearity is derived from a potential with certain restrictions, we use the Conley index and the connection matrix to show that there is a travelling wave solution connecting the maxima of the potential.
openaire   +1 more source

Meromorphic traveling wave solutions of the complex cubic-quintic Ginzburg-Landau equation [PDF]

open access: yes, 2012
We look for singlevalued solutions of the squared modulus M of the traveling wave reduction of the complex cubic-quintic Ginzburg-Landau equation. Using Clunie's lemma, we first prove that any meromorphic solution M is necessarily elliptic or degenerate ...
A.E. Eremenko   +26 more
core   +4 more sources

Exact Travelling Wave Solutions of a Beam Equation [PDF]

open access: yesJournal of Nonlinear Mathematical Physics, 2021
In this paper we make a full analysis of the symmetry reductions of a beam equation by using the classical Lie method of infinitesimals and the nonclassical method. We consider travelling wave reductions depending on the form of an arbitrary function.
Camacho Moreno, José Carlos   +3 more
openaire   +3 more sources

Bifurcation Analysis and Single Traveling Wave Solutions of the Variable-Coefficient Davey–Stewartson System

open access: yesDiscrete Dynamics in Nature and Society, 2022
This paper mainly studies the bifurcation and single traveling wave solutions of the variable-coefficient Davey–Stewartson system. By employing the traveling wave transformation, the variable-coefficient Davey–Stewartson system is reduced to two ...
Tianyong Han, Jiajin Wen, Zhao Li
doaj   +1 more source

The Traveling Wave Solutions to a Variant of the Boussinesq Equation

open access: yesElectronic Journal of Applied Mathematics, 2023
In this study, we study a variant of the Boussinesq equation called as \(B( n+1,\,1,\,n )\) equation, and construct some traveling wave solutions by using an effective approach called the extended trial equation method. Thus, the soliton solutions, rational function solutions, elliptic function solutions and Jacobi elliptic function solutions, which ...
Nadeem, Muhammad   +1 more
openaire   +2 more sources

Integral Bifurcation Method together with a Translation-Dilation Transformation for Solving an Integrable 2-Component Camassa-Holm Shallow Water System

open access: yesJournal of Applied Mathematics, 2012
An integrable 2-component Camassa-Holm (2-CH) shallow water system is studied by using integral bifurcation method together with a translation-dilation transformation.
Weiguo Rui, Yao Long
doaj   +1 more source

Bifurcation, chaotic behavior, and traveling wave solution of stochastic coupled Konno–Oono equation with multiplicative noise in the Stratonovich sense

open access: yesOpen Physics, 2023
The main aim of this article is to focus on the dynamics and traveling wave solution of stochastic coupled Konno–Oono equation with multiplicative noise in the Stratonovich sense.
Tang Yong, Li Zhao
doaj   +1 more source

Traveling Wave Solutions of Two Nonlinear Wave Equations by (G′/G)-Expansion Method

open access: yesAdvances in Mathematical Physics, 2018
We employ the (G′/G)-expansion method to seek exact traveling wave solutions of two nonlinear wave equations—Padé-II equation and Drinfel’d-Sokolov-Wilson (DSW) equation.
Yazhou Shi, Xiangpeng Li, Ben-gong Zhang
doaj   +1 more source

Analysis of voltage and current flow of electrical transmission lines through mZK equation

open access: yesResults in Physics, 2021
Discrete networks, nonlinear networks, high speed computer data buses, computer network connections, and cable signal distribution are analyzed using the modified Zakharov-Kuznetsov (mZK) equation as a model governing the propagation in the electrical ...
M. Ali Akbar   +4 more
doaj   +1 more source

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