Results 51 to 60 of about 2,106 (198)
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
Fluids, 2021 This research paper targets the fractional Hirota’s analytical solutions–Satsuma (HS) equations. The conformable fractional derivative is employed to convert the fractional system into a system with an integer–order.
Chen Yue +2 more
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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
TRAVELING WAVE SOLUTIONS OF SOME FRACTIONAL DIFFERENTIAL EQUATIONS [PDF]
Romanian Journal of Mathematics and Computer Science, 2016 The modified Kudryashov method is powerful, efficient and can be used as an alternative to establish new solutions of different type of fractional differential equations applied in mathematical physics.
SERIFE MUGE EGE, EMINE MISIRLI
doaj
The Nikolaevskiy equation with dispersion
, 2010 The Nikolaevskiy equation was originally proposed as a model for seismic waves and is also a model for a wide variety of systems incorporating a neutral, Goldstone mode, including electroconvection and reaction-diffusion systems.
Eman Simbawa +6 more
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On the optical soliton solutions of (2+1)-Biswas-Milovic equation via modified new Kudryashov method
European Journal of Science and Technology, 2023 This study includes the examination of optical soliton solutions of the (2+1)-dimensional Biswas-Milovic equation, which is an important equation modeling the soliton behavior in optical fibers, which has been introduced to the literature recently. Since the investigated equation and method are recently introduced and not much works has been done, the ...
openaire +2 more sources
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 +7 more
wiley +1 more source
Food Science &Nutrition, Volume 13, Issue 6, June 2025.One approach of generating processed‐to‐raw food conversion factor was the percentage yield method wherein the weight ratio of initial raw materials to final processed products was calculated. For foods that had been processed as a whole food, percentage yield was exclusively used, whereas partition ratios were also used for foods that had been ...
Jiyun Baek +7 more
wiley +1 more source
Exact Solutions of the Stochastic Conformable Broer–Kaup Equations
Axioms, 2023 In this article, the exact solutions of the stochastic conformable Broer–Kaup equations with conformable derivatives which describe the bidirectional propagation of long waves in shallow water are obtained using the modified exponential function method ...
Humaira Yasmin +3 more
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On Modified Method of Simplest Equation for Obtaining Exact Solutions of Nonlinear PDEs: Case of Elliptic Simplest Equation [PDF]
, 2012 2010 Mathematics Subject Classification: 74J30, 34L30.The modified method of simplest equation is useful tool for obtaining exact and approximate solutions of nonlinear PDEs.
K. Vitanov, Nikolay
core