Results 101 to 107 of about 665 (107)

Travelling Waves in a PDE-ODE Coupled Model of Cellulolytic Biofilms with Nonlinear Diffusion. [PDF]

J Dyn Differ Equ
Mitra K, Hughes JM, Sonner S, Eberl HJ, Dockery JD.   +4 more
europepmc   +1 more source

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The Ξ -expansion method for several types of nonlinear PDEs and traveling wave solutions

Journal of Interdisciplinary Mathematics, 2021
In this article, we applied the improved and generalized method G G æ ö ç ÷ è ø ¢ to some nonlinear problems such as: the (2+1) dimensional Bogoyavliskii equation and the AblowitzKuap-Newell-Segur equation (AKNSE), but distinctively and simple, we called
Amjad Hussain, J. F. Alzaidy, A. H. Hussain   +2 more
semanticscholar   +1 more source

A splitting technique for superposition type solutions of cubic nonlinear ordinary differential equations

, 2017
This paper deals with finding new solutions of nonlinear ordinary differential equations with cubic nonlinearity. Few theorems comprising existence of superposition of two Jacobian elliptic functions as its solutions have been proved.
Prakash Kumar Das, M. M. Panja
semanticscholar   +1 more source

Variational theory of solitons for a higher order generalized Camassa-Holm equation

, 2017
In this paper we show the existence of travelling wave solutions for a higher order generalized Cammasa-Holm type equation. We follow a variational approach by characterizing travelling waves as critical points of a suitable functional.
Wilmer L. Molina, A. Montes, Jaime Tobar
semanticscholar   +1 more source

Stability and Unstability of the Standing Wave to Euler Equations

, 2017
In this paper, we first discuss the well-posedness of linearizing equations, and then study the stability and unstability of the 3-D compressible Euler Equation, by analysing the existence of saddle point.
Xiuli Tang, Xiuqing Wang, Ganshan Yang
semanticscholar   +1 more source

Existence of periodic traveling waves for the rotation-Kadomtsev-Petviashvili equation

, 2016
In this paper, via a variational approach, we study the existence of periodic traveling waves for the rotation Kadomtsev-Petviashvili equation. We show that those periodic solutions are characterized as critical points of some functional, for which the ...
A. Montes
semanticscholar   +1 more source

Extremes in Branching Random Walk and Branching Brownian Motion

, 2013
Branching random walk (BRW) and branching Brownian motion (BBM) are mathematical models for population growth and spatial displacement. When resources are plentiful, population sizes grow exponentially in time.
L. Addario-Berry, N. Berestycki, N. Gantert   +2 more
semanticscholar   +1 more source