Results 11 to 20 of about 5,872 (126)

The Dynamical Landscape of the Negative-Order (3+1)-Dimensional Calogero–Bogoyavlenskii–Schiff Equation

Journal of Mathematics
A new negative-order form of the 3+1-dimensional Calogero–Bogoyavlenskii–Schiff equation is examined in this investigation. This equation plays an important role in accurately describing the thermodynamic properties of mixtures, particularly in chemical ...
Ulviye Demirbilek, Jan Muhammad, Arzu Akbulut, Usman Younas, Taha Radwan, Karim K. Ahmed   +5 more
doaj   +2 more sources

An exactly solvable self-convolutive recurrence [PDF]

, 2010
We consider a self-convolutive recurrence whose solution is the sequence of coefficients in the asymptotic expansion of the logarithmic derivative of the confluent hypergeometic function $U(a,b,z)$. By application of the Hilbert transform we convert this
C.M. Bender, E. Wigner, E. Wigner, L.G. Molinari, M. Abramowitz, M. J. Kearney, M.J. Kearney, M.J. Kearney, P. Cvitanović, P. Cvitanović, R. J. Martin, S. Janson, S. Janson, S.L. Marple Jr, V.A. Marčenko, Y. Pavlyukh   +15 more
core   +1 more source

The calculation of expectations for classes of diffusion processes by Lie symmetry methods [PDF]

, 2009
This paper uses Lie symmetry methods to calculate certain expectations for a large class of It\^{o} diffusions. We show that if the problem has sufficient symmetry, then the problem of computing functionals of the form $E_x(e^{-\lambda X_t-\int_0^tg(X_s)
Craddock, Mark, Lennox, Kelly A.
core   +1 more source

Analyzing the diversity of wave profiles to the stochastic Davey-Stewartson equation: Application in the hydrodynamics engineering

Ain Shams Engineering Journal
This study investigates the stochastic Davey-Stewartson system with multiplicative noise, an important high-order nonlinear partial differential equation, within Ito calculus framework.
Jan Muhammad, Usman Younas, Yasser Alrashedi, Mofareh Alhazmi   +3 more
doaj   +1 more source

One-parameter Darboux-transformed quantum actions in Thermodynamics [PDF]

, 2001
We use nonrelativistic supersymmetry, mainly Darboux transformations of the general (one-parameter) type, for the quantum oscillator thermodynamic actions.
Arnaud J, Boya L J, Fermin Aceves de la Cruz, Haret C Rosu, Rosu H C, Zwillinger D   +5 more
core   +4 more sources

Exploring solitary wave solutions to the simplified modified camassa-holm equation through a couple sophisticated analytical approaches

Results in Physics
The simplified modified Camassa-Holm equation, a developed Korteweg-de Vries equation, is an integrable nonlinear dispersive water wave equation with potential applications in diverse fields such as shallow water waves, liquid drop patterning, water ...
Sujoy Devnath, Shahansha Khan, M. Ali Akbar   +2 more
doaj   +1 more source

Ma-Xu quantization rule and exact WKB condition for translationally shape invariant potentials

, 2010
For translationally shape invariant potentials, the exact quantization rule proposed by Ma and Xu is a direct consequence of exactness of the modified WKB quantization condition proved by Barclay.
A. Bérard, Barclay, Barclay, Bhaduri, Bhalla, Bhalla, Bhalla, Brack, Cao, Cherqui, Comtet, Cooper, Dong, Dong, Dong, Dutt, Gendenshtein, Grandati, Gu, Gu, Kasri, Leacock, Leacock, Ma, Ma, Ma, Ou, Qiang, Qiang, Qiang, Qiang, Weissman, Y. Grandati, Zhou   +33 more
core   +1 more source

Controlling the level of sparsity in MPC [PDF]

, 2014
In optimization routines used for on-line Model Predictive Control (MPC), linear systems of equations are usually solved in each iteration. This is true both for Active Set (AS) methods as well as for Interior Point (IP) methods, and for linear MPC as ...
Axehill, Daniel
core   +1 more source

Probing the diversity of kink solitons in nonlinear generalised Zakharov-Kuznetsov-Benjamin-Bona-Mahony dynamical model

AIMS Mathematics
This investigation offers an innovative analytical strategy, namely the Riccati modified extended simple equation method (RMESEM), to establish and analyze soliton results of the (2+1)-dimensional dynamical generalized Zakharov-Kuznetsov-Benjamin-Bona ...
Naher Mohammed A. Alsafri, Hamad Zogan
doaj   +1 more source

Color Routing and Beam Steering of Single‐Molecule Emission with a Spherical Silicon Nanoantenna

Advanced Functional Materials, EarlyView.
We experimentally demonstrate broadband directional emission from single molecules using a single spherical silicon nanoparticle assembled via DNA origami. By varying nanoparticle (NP) size and emitter position, we achieve unidirectional emission, beam steering, and color routing at the nanoscale, revealing modal interference as the underlying ...
María Sanz‐Paz, Nicole Siegel, Guillermo Serrera, Javier González‐Colsa, Fangjia Zhu, Karol Kołątaj, Minoru Fujii, Hiroshi Sugimoto, Pablo Albella, Guillermo P. Acuna   +9 more
wiley   +1 more source