Results 41 to 50 of about 1,122 (176)

Highly Dispersive Optical Solitons with Four Forms of Self-Phase Modulation

Universe, 2023
This paper implements the enhanced Kudryashov approach to retrieve highly dispersive optical solitons and study it with four nonlinear forms. These are the power law, generalized quadratic-cubic law, triple-power law, and the generalized non-local law ...
Ahmed M. Elsherbeny, Ahmed H. Arnous, Anjan Biswas, Oswaldo González-Gaxiola, Luminita Moraru, Simona Moldovanu, Catalina Iticescu, Hashim M. Alshehri   +7 more
doaj   +1 more source

Highly Dispersive Optical Solitons with Complex Ginzburg–Landau Equation Having Six Nonlinear Forms

Mathematics, 2021
This paper retrieves highly dispersive optical solitons to complex Ginzburg–Landau equation having six forms of nonlinear refractive index structures for the very first time. The enhanced version of the Kudryashov approach is the adopted integration tool.
Elsayed M. E. Zayed, Khaled A. Gepreel, Mahmoud El-Horbaty, Anjan Biswas, Yakup Yıldırım, Hashim M. Alshehri   +5 more
doaj   +1 more source

Optical solitons for Biswas–Milovic equation using the new Kudryashov’s scheme

Optik, 2022
Purpose: This study aims to examine the optical soliton solutions of the nonlinear Schrodinger form of the (2+1)-Biswas-Milovic equation with Kerr, power and parabolic law nonlinearity. Methodology: Our method steps are as follows; we have obtained the nonlinear ordinary differential equation (NODE) and constraint relations for each Kerr, power and ...
Selvi Altun, Muslum Ozisik, Aydin Secer, Mustafa Bayram   +3 more
openaire   +2 more sources

Agent‐Based Computational Modeling of the Stochastic Dynamic Behavior of Actin Filaments Recapitulates the Homeostatic Cortical Array in Plant Epidermal Cells

Cytoskeleton, Volume 83, Issue 6, Page 407-426, June 2026.
ABSTRACT The homeostatic cortical actin array in plant cells plays important roles in fundamental processes, including intracellular transport, secretion, cell expansion, and cytoplasmic streaming. In response to diverse chemical and mechanical signals, the cortical array can remodel within minutes to assume new configurations or altered filament ...
June Hyung Kim, Weiwei Zhang, Anjali Iyer‐Pascuzzi, Christopher J. Staiger, Taeyoon Kim   +4 more
wiley   +1 more source

Implicit Solitary Waves for One of the Generalized Nonlinear Schrödinger Equations

Mathematics, 2021
Application of transformations for dependent and independent variables is used for finding solitary wave solutions of the generalized Schrödinger equations. This new form of equation can be considered as the model for the description of propagation pulse
Nikolay A. Kudryashov
doaj   +1 more source

On the solutions for the Kudryashov-Sinelshchikov equation

Nonlinear Differential Equations and Applications NoDEA
Abstract The Kudryashov-Sinelshchikov equation models the evolution of the long weakly nonlinear waves, taking into consideration liquid viscosity, inter-phase heat transfer and surface tension. It models also the evolution of nonlinear sound wave propagation in bubbly liquids.
Coclite, Giuseppe Maria, di Ruvo, Lorenzo   +1 more
openaire   +2 more sources

The Person is on His Place: To the Anniversary of V.V. Kudryashov

Irkutsk Historical and Economic Yearbook 2020, 2020
The article is devoted to PhD in Historical Sciences, Associate Professor Bratsk state University V.V. Kudryashov. The author reviews the main facts of his biography, his main pedagogical and scientific activity.
Snezana Kovrigina, Valentina Maksimova, Grigory Tsykunov   +2 more
openaire   +1 more source

Exact Solutions and Nonlinear Dynamical Behavior in a Navier‐Stokes‐Type Model for Elastic Cylindrical Vessels: An Analytical and Computational Approach

Engineering Reports, Volume 8, Issue 6, June 2026.
This study investigates a nonlinear Navier‐Stokes‐type model for elastic cylindrical vessels. Exact solutions are derived via the Bäcklund transformation and the ϕ6$$ {\phi}^6 $$‐expansion method, and dynamical behaviors are analyzed using bifurcation and chaos tools, revealing diverse wave structures and parameter‐dependent propagation characteristics.
Sheikh Zain Majid, Fatma Nur Kaya Sağlam, Mohammad Safi Ullah   +2 more
wiley   +1 more source

Oblique closed form solutions of some important fractional evolution equations via the modified Kudryashov method arising in physical problems

Journal of Ocean Engineering and Science, 2018
The paper deals with the obliquely propagating wave solutions of fractional nonlinear evolution equations (NLEEs) arising in science and engineering. The conformable time fractional (2 + 1)-dimensional extended Zakharov-Kuzetsov equation (EZKE), coupled ...
F. Ferdous, M.G. Hafez
doaj   +1 more source

Quiescent optical solitons with Kudryashov’s law of nonlinear refractive index

Results in Physics, 2023
The present study reports quiescent optical solitons for Kudryashov’s proposed form of self-phase modulation with quintuple nonlinearity having two power-law parameters. The solitons were retrieved with the usage of enhanced Kudryashov’s algorithm.
Ahmed H. Arnous, Anjan Biswas, Yakup Yıldırım, Luminita Moraru, Simona Moldovanu, Abdulah A. Alghamdi   +5 more
openaire   +2 more sources