Results 31 to 40 of about 123,704 (291)

Nonlinear wave solutions of the Kudryashov–Sinelshchikov dynamical equation in mixtures liquid-gas bubbles under the consideration of heat transfer and viscosity

open access: yesJournal of Taibah University for Science, 2019
In this research, we constructed the exact travelling and solitary wave solutions of the Kudryashov–Sinelshchikov (KS) equation by implementing the modified mathematical method.
Aly R. Seadawy   +2 more
doaj   +1 more source

Oscillatory traveling wave solutions for coagulation equations

open access: yesQuarterly of Applied Mathematics, 2017
We consider Smoluchowski's coagulation equation with kernels of homogeneity one of the form $K_{\varepsilon }( , ) =\big( ^{1-\varepsilon }+ ^{1-\varepsilon }\big)\big ( \big) ^{\frac{\varepsilon }{2}}$. Heuristically, in suitable exponential variables, one can argue that in this case the long-time behaviour of solutions is similar to the ...
Niethammer, B., Velázquez, J. J. L.
openaire   +2 more sources

On Travelling Wave Modes of Axially Moving String and Beam

open access: yesShock and Vibration, 2019
The traditional vibrational standing-wave modes of beams and strings show static overall contour with finite number of fixed nodes. The travelling wave modes are investigated in this study of axially moving string and beam although the solutions have ...
Lei Lu   +3 more
doaj   +1 more source

New classifications of nonlinear Schrödinger model with group velocity dispersion via new extended method

open access: yesResults in Physics, 2021
This work investigates the nonlinear Schrödinger equation (NLSE) with group velocity dispersion and second order spatiotemporal dispersion coefficients. The governing model is reduced into the classical nonlinear ordinary differential equation.
Haci Mehmet Baskonus   +6 more
doaj   +1 more source

Comment on “Application of (G′/G)-expansion method to travelling-wave solutions of three nonlinear evolution equation" [Comput Fluids 2010;39;1957-63] [PDF]

open access: yes, 2011
In a recent paper [Abazari R. Application of (G′ G )-expansion method to travelling wave solutions of three nonlinear evolution equation. Computers & Fluids 2010;39:1957–1963], the (G′/G)-expansion method was used to find travelling-wave solutions to ...
Abazari   +14 more
core   +1 more source

Travelling wave solutions and spreading speeds for a scalar age-structured equation with nonlocal diffusion

open access: yesEuropean Journal of Applied Mathematics
In this paper, we study the existence of travelling wave solutions and the spreading speed for the solutions of an age-structured epidemic model with nonlocal diffusion.
Arnaud Ducrot, Hao Kang
doaj   +1 more source

On elliptic solutions of the cubic complex one-dimensional Ginzburg-Landau equation

open access: yes, 2005
The cubic complex one-dimensional Ginzburg-Landau equation is considered. Using the Hone's method, based on the use of the Laurent-series solutions and the residue theorem, we have proved that this equation has neither elliptic standing wave nor elliptic
A. N. W. Hone   +28 more
core   +3 more sources

Dynamics of Turing patterns under spatio-temporal forcing [PDF]

open access: yes, 2003
We study, both theoretically and experimentally, the dynamical response of Turing patterns to a spatio-temporal forcing in the form of a travelling wave modulation of a control parameter.
A. P. Muñuzuri   +9 more
core   +2 more sources

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

Absolute instabilities of travelling wave solutions in a Keller-Segel model

open access: yes, 2016
We investigate the spectral stability of travelling wave solutions in a Keller-Segel model of bacterial chemotaxis with a logarithmic chemosensitivity function and a constant, sublinear, and linear consumption rate. Linearising around the travelling wave
Ebihara Y   +6 more
core   +1 more source

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