Results 21 to 30 of about 143,393 (276)

On Boundary Null Controllability of Strongly Degenerate Hyperbolic Systems on Star-Shaped Planar Network

open access: yesJournal of Optimization, Differential Equations and Their Applications, 2021
In this paper we discuss the problem of boundary exact null controllability for weakly and strongly degenerate linear wave equation defined on star-shaped planar network. The network is represented by a singular measure in a bounded planar domain.
Peter I. Kogut   +2 more
doaj   +1 more source

Traveling wave solutions of degenerate coupled multi-KdV equations [PDF]

open access: yesJournal of Mathematical Physics, 2016
Traveling wave solutions of degenerate coupled ℓ-KdV equations are studied. Due to symmetry reduction these equations reduce to one ordinary differential equation (ODE), i.e., (f′)2 = Pn(f) where Pn(f) is a polynomial function of f of degree n = ℓ + 2, where ℓ ≥ 3 in this work. Here ℓ is the number of coupled fields.
G�rses M., Pekcan A.
openaire   +6 more sources

Nonlinear Ion-Acoustic Waves in Degenerate Plasma with Landau Quantized Trapped Electrons

open access: yesFrontiers in Physics, 2021
The formation of nonlinear ion-acoustic waves is studied in a degenerate magnetoplasma accounting for quantized and trapped electrons. Relying on the reductive perturbation technique, a three-dimensional Zakharov–Kuznetsov (ZK) equation is derived ...
R. Jahangir, S. Ali
doaj   +1 more source

Nucleus-Acoustic Solitary Waves in Warm Degenerate Magneto-Rotating Quantum Plasmas

open access: yesFluids, 2022
A warm degenerate magneto-rotating quantum plasma (WDMRQP) model consisting of a static heavy nucleus, inertial non-degenerate light nucleus, and warm non-relativistic or ultra-relativistic electrons has been considered to observe the generation of ...
Jhorna Akter, A A Mamun
doaj   +1 more source

Explicit solutions of Cauchy problems for degenerate hyperbolic equations with Transmutations methods [PDF]

open access: yesMathematics and Modeling in Finance, 2022
‎This article's primary goal is to compute an explicit transmutation-based solution to a degenerate hyperbolic equation of second order in terms of time‎.
Mahdieh Aminian Shahrokhabadi   +1 more
doaj   +1 more source

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

Higgs Bundles, Gauge Theories and Quantum Groups [PDF]

open access: yes, 2006
The appearance of the Bethe Ansatz equation for the Nonlinear Schr\"{o}dinger equation in the equivariant integration over the moduli space of Higgs bundles is revisited. We argue that the wave functions of the corresponding two-dimensional topological U(
A. Gerasimov   +49 more
core   +2 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

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