Results 31 to 40 of about 6,537 (288)

Degenerate lump chain solutions of (4+1)-dimensional Fokas equation

open access: yesResults in Physics, 2023
This paper takes (4+1)-dimensional Fokas equation as an example to introduce an ingenious limit approach to generate degenerate solutions in detail. Under this technique, we start with solutions describing lump chains and obtain degenerate solutions from
Jiaojiao Wu, Yujie Sun, Biao Li
doaj   +1 more source

Saturated Fronts in Crowds Dynamics

open access: yesAdvanced Nonlinear Studies, 2021
We consider a degenerate scalar parabolic equation, in one spatial dimension, of flux-saturated type. The equation also contains a convective term. We study the existence and regularity of traveling-wave solutions; in particular we show that they can be ...
Campos Juan   +2 more
doaj   +1 more source

Singularity for a nonlinear degenerate hyperbolic-parabolic coupled system arising from nematic liquid crystals

open access: yesAdvances in Nonlinear Analysis, 2022
This article focuses on the singularity formation of smooth solutions for a one-dimensional nonlinear degenerate hyperbolic-parabolic coupled system originating from the Poiseuille flow of nematic liquid crystals.
Hu Yanbo
doaj   +1 more source

Can a Finite Degenerate ‘String’ Hear Itself? Numerical Solutions to a Simplified IBVP

open access: yesJournal of Optimization, Differential Equations and Their Applications, 2023
Some discrete models for a simplified (compared to that published earlier in JODEA, 28 (1) (2020), 1 – 42) initial boundary value problem for a 1D linear degenerate wave equation, posed in a space-time rectangle and solved earlier exactly (JODEA, 30 (1) (
Vladimir L. Borsch, Peter I. Kogut
doaj   +1 more source

Inner boundary value problem with displacement for a second order mixed parabolic-hyperbolic equation [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
This paper investigates inner boundary value problems with a shift for a second-order mixed-hyperbolic equation consisting of a wave operator in one part of the domain and a degenerate hyperbolic operator of the first kind in the other part.
Zh.A. Balkizov   +2 more
doaj   +3 more sources

The problem with shift for a degenerate hyperbolic equation of the first kind [PDF]

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021
For a degenerate first-order hyperbolic equation of the second order containing a term with a lower derivative, we study two boundary value problems with an offset that generalize the well-known first and second Darboux problems. Theorems on an existence
Zhiraslan A. Balkizov
doaj   +1 more source

On the modulational of Schamel nonlinear Schrödinger equation and the associated envelope excitations in a degenerate relativistic quantum complex plasma

open access: yesResults in Physics, 2023
The modulational instability (MI) of Schamel/modified nonlinear Schrödinger equation (SNLSE) or (mNLSE) and the associated envelope excitations, including bright solitons in a multicomponent dense plasma consisting of relativistically degenerate ...
S.A. El-Tantawy   +5 more
doaj   +1 more source

Null controllability of some degenerate wave equations [PDF]

open access: yesJournal of Systems Science and Complexity, 2016
14 pages, 1 ...
Muming Zhang, Hang Gao 0001
openaire   +3 more sources

The Peregrine Breather on the Zero-Background Limit as the Two-Soliton Degenerate Solution: An Experimental Study

open access: yesFrontiers in Physics, 2021
Solitons are coherent structures that describe the nonlinear evolution of wave localizations in hydrodynamics, optics, plasma and Bose-Einstein condensates.
Amin Chabchoub   +12 more
doaj   +1 more source

Indirect Boundary Controllability of Coupled Degenerate Wave Equations

open access: yesActa Applicandae Mathematicae, 2023
Abstract In this paper, we consider a system of two degenerate wave equations coupled through the velocities, only one of them being controlled. We assume that the coupling parameter is sufficiently small and we focus on null controllability problem.
Alhabib Moumni   +2 more
openaire   +2 more sources

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