Results 41 to 50 of about 4,138 (174)

Conservation laws and exact solutions of Kudryashov-Sinelshchikov equation and Benney-Luke equation [PDF]

, 2017
MSc (Applied Mathematics), North-West University, Mafikeng Campus, 2017In this dissertation we study two nonlinear partial differential equations namely; the Kudryashov-Sinclshchikov equation and the Benney-Luke equation.
Mbusi, Sivenathi Oscar
core  

Dynamical Behavior of Soliton Solutions and Bifurcation Analysis for the Time‐Fractional Akbota Equation With Beta Derivative

Engineering Reports, Volume 8, Issue 10, October 2026.
Exact soliton solutions of the time‐fractional Akbota equation with the beta derivative are obtained using three analytical methods. Bifurcation, stability, and phase‐plane analyses reveal stable and unstable equilibrium states, demonstrating controllable nonlinear wave dynamics with promising applications in optical fiber communication, nonlinear ...
S. M. Rayhanul Islam
wiley   +1 more source

Kink and Anti-Kink Wave Solutions of the Forced Schamel KdV Equation and its Stability Analysis [PDF]

International Journal of Mathematical, Engineering and Management Sciences
In this paper, we solve the Schamel Korteweg-de Vries (Schamel KdV) equation with the help of the Kudryashov expansion technique. The Schamel KdV equation is important in various physical contexts, particularly in wave phenomena across different media ...
Bamadev Sahoo, Shruti Tomar, Sunita Chand, Ambit K. Pany, Sanjaya K. Mohanty   +4 more
doaj   +1 more source

Quiescent Optical Solitons with Kudryashov’s Generalized Quintuple-Power and Nonlocal Nonlinearity Having Nonlinear Chromatic Dispersion

, 2022
The paper derives stationary optical solitons with nonlinear chromatic dispersion. A nonlocal form of nonlinearity and quintuple power–law of nonlinearity are considered.
Ahmed H. Arnous, Luminita Moraru, Taher A. Nofal, Anjan Biswas, Salam Khan   +4 more
core   +1 more source

SOLITARY WAVE SOLUTIONS FOR SPACE-TIME FRACTIONAL COUPLED INTEGRABLE DISPERSIONLESS SYSTEM VIA GENERALIZED KUDRYASHOV METHOD [PDF]

, 2021
In this article, space-time fractional coupled integrable dispersionless system is considered, and we use fractional derivative in the sense of modified Riemann-Liouville. The fractional system has reduced to an ordinary differential system by fractional
Ahmad, Hijaz, Gaber, Ahmed, Hijaz Ahmad, Ahmed Gaber   +3 more
core   +1 more source

Uncertainty Quantification of Analytical Solutions for the Nonlinear Space and Time Fractional Order ϕ4$$ {\phi}^4 $$ Equation Under Fuzziness

Engineering Reports, Volume 8, Issue 7, July 2026.
Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid, Neha Andaleeb Khalid, Baboucarr Ceesay, Zafar Iqbal   +3 more
wiley   +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

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

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

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