Results 41 to 50 of about 615,027 (289)

Symmetries for exact solutions to the nonlinear Schr\"odinger equation

, 2009
A certain symmetry is exploited in expressing exact solutions to the focusing nonlinear Schr\"odinger equation in terms of a triplet of constant matrices.
Aktosun, Tuncay, Busse, Theresa, Demontis, Francesco, van der Mee, Cornelis   +3 more
core   +2 more sources

On Whitham theory for perturbed integrable equations

, 2003
Whitham theory of modulations is developed for periodic waves described by nonlinear wave equations integrable by the inverse scattering transform method associated with $2\times2$ matrix or second order scalar spectral problems.
A.M. Kamchatnov, Ablowitz, Avilov, Belokolos, El, Flaschka, Forest, Forest, Gurevich, Gurevich, Gurevich, Gurevich, Gurevich, Gurevich, Gurevich, Gurevich, Kamchatnov, Kamchatnov, Kamchatnov, Kamchatnov, Kamchatnov, Kamchatnov, Kaup, Kivshar, Myint, Pavlov, Pavlov, Strecker, Tian, Ustinov, Whitham, Zakharov, Zakharov   +32 more
core   +1 more source

Nonlinear model order reduction via Dynamic Mode Decomposition [PDF]

, 2016
We propose a new technique for obtaining reduced order models for nonlinear dynamical systems. Specifically, we advocate the use of the recently developed Dynamic Mode Decomposition (DMD), an equation-free method, to approximate the nonlinear term.
Alla, Alessandro, Kutz, J. Nathan
core   +2 more sources

A nonlinear matrix equation connected to interpolation theory

Linear Algebra and its Applications, 2004
The authors study the matrix equation \(X=Q+A^*(\widehat{X}-C)^{-1}A\), where \(Q\) is an \(n\times n\) positive definite matrix, \(C\) is \(mn\times mn\) positive semidefinite, \(A\) is \(mn\times n\) (arbitrary) and \(\widehat{X}\) is \(mn\times mn\), block diagonal, with \(m\) diagonal blocks equal to \(X\).
Ran, A.C.M., Reurings, M.C.B.
openaire   +3 more sources

A Fuzzy Difference Equation Matrix Model for the Control of Multivariable Nonlinear Systems

Applied Sciences
This paper proposes the Fuzzy Difference Equation Matrix Model (FDEMM), a novel predictive control algorithm designed for nonlinear multivariable systems.
Basil Mohammed Al-Hadithi, Javier Blanco Rico, Agustín Jiménez   +2 more
doaj   +1 more source

Combination of inverse spectral transform method and method of characteristics: deformed Pohlmeyer equation

, 2008
We apply a version of the dressing method to a system of four dimensional nonlinear Partial Differential Equations (PDEs), which contains both Pohlmeyer equation (i.e.
Bogdanov L V, Pohlmeyer K, Pohlmeyer K, Santini P M, Tsarev S P, Whitham J B, Zakharov V E, Zakharov V E, Zakharov V E, Zakharov V E, Zenchuk A I, Zenchuk A I, Zerrcxux A I, Zerrcxux A I   +13 more
core   +2 more sources

Solutions and improved perturbation analysis for the matrix equation X-A^{*}X^{-p}A=Q (p>0) [PDF]

, 2012
In this paper the nonlinear matrix equation X-A^{*}X^{-p}A=Q with p>0 is investigated. We consider two cases of this equation: the case p>1 and the case 01, a new sufficient condition for the existence of a unique positive definite solution for the ...
Li, Jing
core   +3 more sources

LDAcoop: Integrating non‐linear population dynamics into the analysis of clonogenic growth in vitro

Molecular Oncology, EarlyView.
Limiting dilution assays (LDAs) quantify clonogenic growth by seeding serial dilutions of cells and scoring wells for colony formation. The fraction of negative wells is plotted against cells seeded and analyzed using the non‐linear modeling of LDAcoop.
Nikko Brix, Daniel Samaga, Katharina Gehr, Benedek Dankó, Mohamed Schumann, Guido Drexler, Ahmed Alnatsha, Georg Beyer, Ujjwal Mahajan, Martin Selmansberger, Julia Mayerle, Claus Belka, Horst Zitzelsberger, Kirsten Lauber   +13 more
wiley   +1 more source

Oscillation of nonlinear systems of matrix differential equations [PDF]

Proceedings of the American Mathematical Society, 1971
For systems of matrix equations of the form \[ U ′ = A ( t , U , V ) V , V ′ = − B ( t , U , V ) U’ = A(t,U,V)V,\quad V’ = - B(t,U,V ...
openaire   +3 more sources

Pharmacological inhibition of the PERK pathway modulates hepatocellular carcinoma growth and immune signaling

FEBS Open Bio, EarlyView.
Pharmacological inhibition of PERK in a DEN‐induced mouse model of liver cancer does not reduce tumor burden but alters cellular stress signaling. Despite blocking PERK activity, downstream stress responses, including CHOP expression, remain active, suggesting compensatory mechanisms within the unfolded protein response that may influence tumor ...
Ada Lerma‐Clavero, Maria Kopsida, Nathalie Arendt, Hans Lennernäs, Markus Sjöblom, Femke Heindryckx   +5 more
wiley   +1 more source