Results 41 to 50 of about 5,872 (126)

Dynamical Optical Structure Solutions of the Time‐Fractional Chen‐Lee‐Liu Equation

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
In this article, we utilize the conformable fractional (CF) derivative to investigate the analytically innovative soliton solutions for the time‐fractional nonlinear perturbed Chen‐Lee‐Liu (CLL) equation in optical fibers. An essential governing equation in nonlinear optics, the perturbed CLL model describes the propagation of ultrashort pulses in ...
Shah Muhammad, Abdul Saboor, Muhammad Shakeel, Hameed Gul Ahmadzai, Ivan Giorgio   +4 more
wiley   +1 more source

Exploring the multistability, sensitivity, and wave profiles to the fractional Sharma–Tasso–Olver equation in the mathematical physics

AIP Advances
In this work, we study the solitary wave profiles of the fractional-Sharma–Tasso–Olver equation, which is applicable to particle fission and fusion mechanisms in nuclear physics.
Li Ming, Jan Muhammad, David Yaro, Usman Younas   +3 more
doaj   +1 more source

Group theoretical approach to the intertwined Hamiltonians

, 2001
We show that the finite difference B\"acklund formula for the Schr\"odinger Hamiltonians is a particular element of the transformation group on the set of Riccati equations considered by two of us in a previous paper.
Adler, Adler, Anderson, Andrianov, Andrianov, Andrianov, Andrianov, Andrianov, Andrianov, Andrianov, Arturo Ramos, Bagrov, Bagrov, Beckers, Beckers, Beckers, Calogero, Cariñena, Cariñena, Cariñena, Cariñena, Cariñena, Cariñena, Cooper, Crum, David J. Fernández C., del Olmo, del Olmo, Dongpei, Díaz, Fernández, Fernández, Fernández, Fernández, Fernández, Fernández, Gendenshteı̈, Gradshteyn, Harnad, Havlíc̆ec, Infeld, José F. Cariñena, Junker, Libermann, Matveev, Mielnik, Mielnik, Nieto, Reed, Rosas-Ortiz, Shabat, Strelchenya, Veselov   +52 more
core   +2 more sources

Formation of Optical Fractals by Chaotic Solitons in Coupled Nonlinear Helmholtz Equations

Fractal and Fractional
In the present research work, we construct and examine the self-similarity of optical solitons by employing the Riccati Modified Extended Simple Equation Method (RMESEM) within the framework of non-integrable Coupled Nonlinear Helmholtz Equations (CNHEs).
M. Mossa Al-Sawalha, Saima Noor, Mohammad Alqudah, Musaad S. Aldhabani, Rasool Shah   +4 more
doaj   +1 more source

Generating Finite Dimensional Integrable Nonlinear Dynamical Systems

, 2013
In this article, we present a brief overview of some of the recent progress made in identifying and generating finite dimensional integrable nonlinear dynamical systems, exhibiting interesting oscillatory and other solution properties, including quantum ...
Chandrasekar, V. K., Lakshmanan, M.
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

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

Optical fractals and Hump soliton structures in integrable Kuralay-Ⅱ system

AIMS Mathematics
The integrable Kuralay-Ⅱ system (K-IIS) plays a significant role in discovering unique complex nonlinear wave phenomena that are particularly useful in optics. This system enhances our understanding of the intricate dynamics involved in wave interactions,
Azzh Saad Alshehry , Safyan Mukhtar, Ali M. Mahnashi   +2 more
doaj   +1 more source

Classification of five-point differential-difference equations

, 2016
Using the generalized symmetry method, we carry out, up to autonomous point transformations, the classification of integrable equations of a subclass of the autonomous five-point differential-difference equations.
Garifullin, R. N., Levi, D., Yamilov, R. I.   +2 more
core   +2 more sources

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