Results 41 to 50 of about 1,528,269 (143)

Classical-regular solvability of initial boundary value problems of nonlinear wave equations with time-dependent differential operator and Dirichlet boundary conditions

Electronic Journal of Differential Equations, 2017
This article concerns the nonlinear wave equation $$ \eqalign{ u_{tt}-\sum_{i,j=1}^{n}\frac{\partial}{\partial x_{i}} \big\{ a_{ij}(t,x)\frac{\partial u}{\partial x_{j}} \big\} + c(t,x)u +\lambda u \cr + \mathbf{F}'\bigl( | u |^2\bigr)u +\zeta ...
Salih Jawad
doaj  

Canonical Solution of Classical Magnetic Models with Long-Range Couplings

, 2002
We study the canonical solution of a family of classical $n-vector$ spin models on a generic $d$-dimensional lattice; the couplings between two spins decay as the inverse of their distance raised to the power $\alpha$, with ...
Alessandro Campa, Andrea Giansanti, Antoni M, Barré J, Bergersen B, Campa A, Campa A, Cannas S A, Daniele Moroni, Fisher M E, Fisher M E, Gallavotti G, Ising E, Kac M, Kac M, Kesten H, Kiessling M K H, Lebowitz J L, Leyvraz F, Ruelle D, Ruelle D, Siegert A J F, Stanley H E, Stanley H E, Tamarit F, Thompson C J, Vollmayr-Lee B P   +26 more
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On solvability of the inverse problem for a fourth-order parabolic equation with a complex-valued coefficient

Қарағанды университетінің хабаршысы. Математика сериясы
In this paper, the inverse problem for a fourth-order parabolic equation with a variable complex-valued coefficient is studied by the method of separation of variables.
A.B. Imanbetova, A.A. Sarsenbi, B. Seilbekov   +2 more
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Quantized representation of some nonlinear integrable evolution equations on the soliton sector

, 2010
The Hirota algorithm for solving several integrable nonlinear evolution equations is suggestive of a simple quantized representation of these equations and their soliton solutions over a Fock space of bosons or of fermions.
A. R. Forsyth, D. J. Kaup, D. Korteweg, J. D. Cole, J. M. Burgers, M. Jimbo, V. E. Zakharov, Y. Hiraoka, Y. Kodama, Yair Zarmi   +9 more
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A Quantum-Classical Hybrid Solution for Deep Anomaly Detection

Entropy, 2023
Machine learning (ML) has achieved remarkable success in a wide range of applications. In recent ML research, deep anomaly detection (AD) has been a hot topic with the aim of discriminating among anomalous data with deep neural networks (DNNs).
Maida Wang, Anqi Huang, Yong Liu, Xuming Yi, Junjie Wu, Siqi Wang   +5 more
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Spin Content of the Quantum Soliton

, 1994
The classical soliton solution, quantized by means of suitable translational and rotational collective coordinates, is embedded into the one-particle irreductible representation of the Poincare group corresponding to a definite spin.
A. Dubikovsky, Adkins, Adkins, Aitchison, Balachandran, Barut, Belavin, Cebula, Dubikovsky, Fedorov, Gervais, Govindarajan, Holzwarth, Khrustalev, MacKenzie, Makhan'kov, Otsu, Pak, Papastamatiou, Parmentola, Rajaraman, Schwinger, Skyrme, Sveshinikov, , Tomboulis, Wilczek, Zahed   +26 more
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Existence of solutions to Dirichlet impulsive differential equations through a local minimization principle

Electronic Journal of Differential Equations, 2014
A critical point theorem (local minimum result) for differentiable functionals is used for proving that a Dirichlet impulsive differential equation admits at least one non-trivial solution.
Ghasem A. Afrouzi, Saeid Shokooh, Armin Hadjian   +2 more
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On a degenerate hyperbolic problem for the 3-D steady full Euler equations with axial-symmetry

Advances in Nonlinear Analysis, 2020
The transonic channel flow problem is one of the most important problems in mathematical fluid dynamics. The structure of solutions near the sonic curve is a key part of the whole transonic flow problem. This paper constructs a local classical hyperbolic
Hu Yanbo, Li Fengyan
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Energy-Spin Trajectories in AdS_5 x S^5 from Semiclassical Vertex Operators

, 2010
We study the relation between vertex operators in AdS_5 x S^5 and classical spinning string solutions. In the limit of large quantum numbers the treatment of vertex operators becomes semiclassical.
A Tirziu, AA Tseytlin, AM Polyakov, BA Burrington, D Bombardelli, DE Berenstein, E Witten, Evgeny I. Buchbinder, G Arutyunov, G Arutyunov, I Bena, JM Maldacena, M Bianchi, N Beisert, N Beisert, N Beisert, N Berkovits, N Gromov, N Gromov, R Ricci, R Roiban, S Frolov, S Frolov, S Frolov, SS Gubser, SS Gubser   +25 more
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On the solvability of one inverse problem for a fourth-order equation

Қарағанды университетінің хабаршысы. Математика сериясы
In this paper, for a fourth-order equation in a rectangular domain, an inverse problem of finding the unknown right-hand side, which depends on one variable, is considered.
A.B. Bekiev
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