Results 51 to 60 of about 3,841 (206)

Modified Kudryashov Method to Solve Generalized Kuramoto-Sivashinsky Equation

, 2018
The generalized Kuramoto–Sivashinsky equation is investigated using the modified Kudryashov method for the new exact solutions. The modified Kudryashov method converts the given nonlinear partial differential equation to algebraic equations, as a ...
Adem Kilicman, Rathinavel Silambarasan
core   +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

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

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

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

The early stages of "legal purges" in Soviet Russia (1941-1945) [Le prime fasi delle "purghe legali" nella Russia sovietica (1941-45)]

, 2008
Le "epurazioni legali" europee del dopoguerra sono state ampiamente indagate da studiosi che ne hanno esplorato le diverse forme, l'evoluzione nel tempo, la percezione dei vari protagonisti e il significato.European postwar “legal purges” have been ...
Vanessa Voisin, Sergey Kudryashov
core   +1 more source

Global H4 solution for the fifth-order Kudryashov–Sinelshchikov–Olver equation

, 2022
The fifth-order Kudryashov–Sinelshchikov–Olver equation is a nonlinear partial differential equation, which describes the interactions between short waves and long waves. Here, we prove the global existence of solutions for the Cauchy problem associated
Di Ruvo, L, Coclite, GM, Lorenzo Di Ruvo, Giuseppe Maria Coclite   +3 more
core   +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

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

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9814-9831, June 2026.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source