Results 61 to 70 of about 345,070 (184)

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

Journal of Mathematics, Volume 2026, Issue 1, 2026.
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 engineering applications.
Ulviye Demirbilek, Jan Muhammad, Arzu Akbulut, Usman Younas, Taha Radwan, Karim K. Ahmed, Dimitri Mugnai   +6 more
wiley   +1 more source

Oscillation of solutions to nonlinear forced fractional differential equations

Electronic Journal of Differential Equations, 2013
In this article, we study the oscillation of solutions to a nonlinear forced fractional differential equation. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative.
Qinghua Feng, Fanwei Meng
doaj  

Supersymmetric free-damped oscillators: Adaptive observer estimation of the Riccati parameter

, 2006
A supersymmetric class of free damped oscillators with three parameters has been obtained in 1998 by Rosu and Reyes through the factorization of the Newton equation. The supplementary parameter is the integration constant of the general Riccati solution.
H. C. Rosu, H. C. Rosu, H. C. Rosu, J. P. Gauthier, O. Cornejo-Pérez, R. Marino, R. Marino, V. Ibarra-Junquera   +7 more
core   +1 more source

Exploring the Chavy–Waddy–Kolokolnikov Model: Analytical Study via Recently Developed Techniques

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This work explores the analytical soliton solutions to the Chavy–Waddy–Kolokolnikov equation (CWKE), which is a well‐known equation in biology that shows how light‐attracted bacteria move together. This equation is very useful for analyzing pattern creation, instability regimes, and minor changes in linear situations since bacterial movement is very ...
Jan Muhammad, David Yaro, Usman Younas, Chang Phang   +3 more
wiley   +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

A new operational matrix based on Bernoulli polynomials [PDF]

, 2014
In this research, the Bernoulli polynomials are introduced. The properties of these polynomials are employed to construct the operational matrices of integration together with the derivative and product.
Kazem, S., Parand, K., Rad, J. A., Shaban, M.   +3 more
core  

Exact Solitary Wave Solutions in Nonlinear Carbon Nanotube Composite Beams on Viscoelastic Foundations Under M‐Truncated Derivative

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this study, the nonlinear partial differential equation that governs the free vibration of a carbon nanotube composite beam is analytically investigated using the truncated M‐fractional derivative. This model is a beam supported by a nonlinear viscoelastic base and reinforced by carbon nanotubes.
Nadia Javed, Nauman Ahmed, Muhammad Zafarullah Baber, Tukur Abdulkadir Sulaiman, Taha Radwan, Abeer S. Khalifa, Karim K. Ahmed, Dimitri Mugnai   +7 more
wiley   +1 more source

Validating DSGE Models Through SVARs Under Imperfect Information

Oxford Bulletin of Economics and Statistics, Volume 87, Issue 6, Page 1081-1105, December 2025.
ABSTRACT We study the ability of SVARs to match impulse responses of a well‐established DSGE model where the information of agents can be imperfect. We derive conditions for the solution of a linearized NK‐DSGE model to be invertible given this information set. In the absence of invertibility, an approximate measure is constructed. An SVAR is estimated
Paul Levine, Joseph Pearlman, Alessio Volpicella, Bo Yang   +3 more
wiley   +1 more source

A constructive approach to the soliton solutions of integrable quadrilateral lattice equations

, 2009
Scalar multidimensionally consistent quadrilateral lattice equations are studied. We explore a confluence between the superposition principle for solutions related by the Backlund transformation, and the method of solving a Riccati map by exploiting two ...
A.I. Bobenko, C.M. Viallet, F.W. Nijhoff, F.W. Nijhoff, Frank Nijhoff, H.D. Wahlquist, J. Atkinson, J. Atkinson, J. Hietarinta, J. Weiss, J. Weiss, James Atkinson, R. Hirota, R. Hirota, V.E. Adler, V.E. Adler, V.E. Adler, V.E. Adler, V.E. Zakharov, V.E. Zakharov, V.M. Buchstaber, Y. Ohta   +21 more
core   +1 more source

Optimal Adaptive Reinforcement Learning Control for a Convection‐Reaction Distributed Parameter System

Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2384-2395, November/December 2025.
Optimal adaptive reinforcement learning control using an actor‐critic architecture. The controller learns optimal control policies online from data measured along the trajectories of a plug flow system ABSTRACT This article is devoted to optimal adaptive control for a distributed parameter convection‐reaction system by reinforcement learning (RL ...
Abdellaziz Binid, Ilyasse Aksikas
wiley   +1 more source