Results 71 to 80 of about 987,859 (318)

Some nonlinear inequalities and applications [PDF]

, 2010
Sufficient conditions are given for the relation $\lim_{t\to\infty}y(t) = 0$ to hold, where $y(t)$ is a continuous nonnegative function on $[0,1)$ satisfying some nonlinear inequalities.
Hoang, N. S., Ramm, A. G.
core   +4 more sources

Statistical Theory for Incoherent Light Propagation in Nonlinear Media

, 2001
A novel statistical approach based on the Wigner transform is proposed for the description of partially incoherent optical wave dynamics in nonlinear media.
A. Hasegawa, A.A. Sukhorukov, B. Hall, C. Anastassiou, D. Anderson, D. Anderson, D. R. Crawford, D.N. Christodoulides, D.N. Christodoulides, D.N. Christodoulides, D.N. Christodoulides, E. Wigner, G.A. Pasmanik, I. E. Alber, I.B. Bernstein, J.E. Moyal, M. Lisak, M. Mitchell, M. Mitchell, M. Mitchell, M. Soljacic, M.I. Carvalho, N. Akhmediev, N.L. Tsintsadze, N.L. Tsintsadze, P. A. E. M. Janssen, P.K. Shukla, R. Bingham, R. Fedele, R. Fedele, R. Fedele, S.A. Gardiner, T. Tanuti, T.H. Coskun, T.H. Coskun, V. E. Semenov, V.I. Karpman, V.V. Shkunov, W. Królikowski, Z. Chen   +39 more
core   +2 more sources

New extended (G’/G)-expansion method to solve nonlinear evolution equation: the (3 + 1)-dimensional potential-YTSF equation

SpringerPlus, 2014
In this article, a new extended (G′/G) -expansion method has been proposed for constructing more general exact traveling wave solutions of nonlinear evolution equations with the aid of symbolic computation.
H. Roshid, M. Akbar, Md. Nur Alam, Md Fazlul Hoque, Nizhum Rahman   +4 more
semanticscholar   +1 more source

A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems

International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam, Anthony Siming Chen, Guido Herrmann   +2 more
wiley   +1 more source

Evolution equation for nonlinear Lucassen waves [PDF]

The Journal of the Acoustical Society of America, 2019
A nonlinear, fractional, surface-wave equation was developed recently by Kappler et al. [Phys. Rev. Fluids 2, 114804 (2017)] for propagation along an elastic interface coupled to a viscous incompressible medium. Linear theory for attenuation and dispersion of such a wave was developed originally by Lucassen [Trans. Faraday Soc.
Blake E. Simon, John M. Cormack, Mark F. Hamilton   +2 more
openaire   +1 more source

Hopfield Neural Networks for Online Constrained Parameter Estimation With Time‐Varying Dynamics and Disturbances

International Journal of Adaptive Control and Signal Processing, EarlyView.
This paper proposes two projector‐based Hopfield neural network (HNN) estimators for online, constrained parameter estimation under time‐varying data, additive disturbances, and slowly drifting physical parameters. The first is a constraint‐aware HNN that enforces linear equalities and inequalities (via slack neurons) and continuously tracks the ...
Miguel Pedro Silva
wiley   +1 more source

Applications of extended F-expansion and projective Ricatti equation methods to (2+1)-dimensional soliton equations

AIP Advances, 2013
The (2+1)-dimensional Maccari and nonlinear Schrödinger equations are reduced to a nonlinear ordinary differential equation (ODE) by using a simple transformation, various solutions of the nonlinear ODE are obtained by using extended F-expansion and ...
Hitender Kumar, Fakir Chand
doaj   +1 more source

An equation of state for purely kinetic k-essence inspired by cosmic topological defects

, 2016
We investigate the physical properties of a purely kinetic k-essence model with an equation of state motivated in superconducting membranes. We compute the equation of state parameter $w$ and discuss its physical evolution via a nonlinear equation of ...
Cordero, Ruben, Gonzalez, Eduardo L., Queijeiro, Alfonso   +2 more
core   +1 more source

Numerical solution of the nonlinear evolution equation at small x with impact parameter and beyond the LL approximation [PDF]

, 2010
The nonlinear evolution equation at small x with impact parameter dependence is analyzed numerically. The saturation scales and the radius of expansion in the impact parameter are extracted as functions of rapidity.
J. Berger, A. Staśto
semanticscholar   +1 more source

Remarks on Nonlinear Evolution Equations

Journal of Mathematical Analysis and Applications, 1996
In the paper fully nonlinear evolution equations \[ {du \over dt} +A(t,u,u) = 0, \quad 0\leq t\leq T,\quad u(0) =\varphi, \] in a Banach space \(X\) are considered. Here \(T>0\), \(A\) is a nonlinear mapping of a subset \(D(A) \subset [0,T] \times X \times X\) into \(X\) and \(\varphi \in X\).
openaire   +2 more sources