Results 81 to 90 of about 454 (184)
Numerical solutions of fractional conformable derivative using a generalized Kudryashov method
Science World JournalThis paper addresses the numerical solutions of fractional differential equations (FDEs) using the Generalized Kudryashov Method (GKM) in the context of the conformable fractional derivative. Fractional calculus, particularly the conformable derivative, provides a versatile framework for modeling systems exhibiting memory and hereditary properties ...
Oduselu-Hassan, Oladayo Emmanuel +1 more
openaire +2 more sources
Journal of Mathematics, Volume 2026, Issue 1, 2026.The Hirota–Maccari (HM) system is a fundamental model in wave propagation that has been widely utilized to investigate complex nonlinear phenomena in nonlinear optics, optical communications, and mathematical physics. The HM system sheds light on critical insights into soliton dynamics, wave interactions, and other nonlinear effects.
Fei Li +4 more
wiley +1 more source
Dynamic Behavior of the Chavy–Waddy–Kolokolnikov (CWK) Model of Bacterial Clustering in Phototaxis
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this study, we investigate the nonlinear dynamics of the continuity‐based Chavy–Waddy–Kolokolnikov (CWK) model for bacterial clustering in phototaxis. The model describes microorganism movement and pattern formation under light stimuli and thus serves as a useful prototype for biological transport processes.
Loubna Ouahid +4 more
wiley +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.This study investigates a fractional partial differential equation in the field of mathematical biology. The Bernoulli (G′⁄G)‐expansion method is applied to solve this class of fractional‐order nonlinear differential equations and derive analytical solutions.
Hongqiang Tu, Yongyi Gu, Guotao Wang
wiley +1 more source
, 2010 The 'tanh-coth expansion method' for finding solitary travelling-wave solutions to nonlinear evolution equations has been used extensively in the literature. It is a natural extension to the basic tanh-function expansion method which was developed in the
Parkes, E.J.
core +1 more source
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 +6 more
wiley +1 more source
White noise theory and general improved Kudryashov method for stochastic nonlinear evolution equations with conformable derivatives [PDF]
Advances in Difference Equations, 2020 AbstractThe aim of this work is to investigate the Wick-type stochastic nonlinear evolution equations with conformable derivatives. The general Kudryashov method is improved by a new auxiliary equation. So, a new technique, which we call “the general improved Kudryashov method (GIKM)”, is introduced to produce exact solutions for the nonlinear ...
openaire +3 more sources
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 +3 more
wiley +1 more source
Implicit Solitary Waves for One of the Generalized Nonlinear Schrödinger Equations
, 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
core +1 more source
Application of Kudryashov method for the Ito equations
, 2017 In this present work, the Kudryashov method is used to construct exact solutions of the (1+1)- dimensional and the (1+2)-dimensional form of the generalized Ito integro-differential equation. The Kudryashov method is a powerful method for obtaining exact
Akbari, Mozhgan
core