Results 31 to 40 of about 5,496 (165)

Novel Exact Solution for the Bidirectional Sixth-Order Sawada–Kotera Equation

open access: yesUniverse, 2023
In this paper, we take the bidirectional sixth-order Sawada–Kotera equation as an instance and use a new limit approach to generate a multiple-pole solution and the degenerate of the breather wave from the N-order soliton solution.
Hongcai Ma, Xiaoyu Chen, Aiping Deng
doaj   +1 more source

Null controllability of some degenerate wave equations [PDF]

open access: yesJournal of Systems Science and Complexity, 2016
14 pages, 1 ...
Zhang, Muming, Gao, Hang
openaire   +3 more sources

Nonlinear Wave Equations With Degenerate Damping and Source Terms [PDF]

open access: yesTransactions of the American Mathematical Society, 2005
In this article we focus on the global well-posedness of the differential equation u t t − Δ u + | u | k ∂ j ( u t ) =
Barbu, Viorel   +2 more
openaire   +3 more sources

Degenerate elliptic equations for resonant wave problems

open access: yesIMA Journal of Applied Mathematics, 2020
Abstract The modelling of resonant waves in 2D plasma leads to the coupling of two degenerate elliptic equations with a smooth coefficient $\alpha $ and compact terms. The coefficient $\alpha $ changes sign. The region where $\{\alpha>0\}$ is propagative, and the region where $\{\alpha <0\}$ is non propagative and elliptic.
Nicolopoulos, Anouk   +3 more
openaire   +3 more sources

The Initial Value Problem for a Degenerate Wave Equation [PDF]

open access: yesProceedings of the American Mathematical Society, 1988
The Cauchy problem for a degenerate wave equation, for which the spatial part is essentially a hypoelliptic sum of squares, is solved via a suitable modification of the standard Hilbert space approach for the usual problem.
Kannai, Y., Kiro, S.
openaire   +2 more sources

Travelling wave phenomena in non-linear diffusion degenerate Nagumo equations [PDF]

open access: yesJournal of Mathematical Biology, 1997
The authors study the existence of weak travelling wave solutions \(u(x,t)= \phi(x- at)\) for the equation \[ u_t= [D(u)u_x]_x+ g(u),\quad (x,t)\in\mathbb{R}\times \mathbb{R}_+,\tag{1} \] where, for a given \(\alpha\in(0, 1)\), the function \(D\) and \(g\), defined on the interval \([0,1]\), satisfy the conditions: 1) \(g(0)= g(\alpha)= g(1)= 0\), \(g ...
Sánchez-Garduño, F, Maini, P
openaire   +3 more sources

Existence and Asymptotic Behavior of Traveling Wave Fronts for a Time-Delayed Degenerate Diffusion Equation

open access: yesAbstract and Applied Analysis, 2013
This paper is concerned with traveling wave fronts for a degenerate diffusion equation with time delay. We first establish the necessary and sufficient conditions to the existence of monotone increasing and decreasing traveling wave fronts, respectively.
Weifang Yan, Rui Liu
doaj   +1 more source

Wave Patterns in One-Dimensional Nonlinear Degenerate Diffusion Equations [PDF]

open access: yes, 1993
Several different types of wave patterns occur in physiology, chemistry and biology. In many cases such phenomena are modelled by reactive-diffusive parabolic systems (see, for example, Fisher 1937; Kolmogorov et al. 1937; Winfree 1988; Murray 1989; Swinney & Krinsky 1992).
Sánchez-Garduño, F, Maini, P
openaire   +3 more sources

ON INITIAL BOUNDARY VALUE PROBLEMS FOR THE DEGENERATE 1D WAVE EQUATION

open access: yesJournal of Optimization, Differential Equations and Their Applications, 2019
Initial boundary value problems in space-time rectangle for the following linear inhomogeneous degenerate wave equation of the second order smooth coefficient function a(x) vanishes in single points of segment.
Vladimir V. Borsch
doaj   +1 more source

Traveling Wave Phenomena in Some Degenerate Reaction-Diffusion Equations

open access: yesJournal of Differential Equations, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sánchez-Garduño, F, Maini, P
openaire   +4 more sources

Home - About - Disclaimer - Privacy