Results 51 to 60 of about 2,067 (177)
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
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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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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
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Kink, periodic and solitary solutions for coupled Benjamin–Bona–Mahony–KdV system
Journal of Taibah University for Science, 2023 In this paper, exp[Formula: see text]-expansion method, modified extended tanh-function method and Kudryashov method are used to investigate the exact solutions of the coupled Benjamin–Bona–Mahony–KdV (BBM-KdV) system.
Yanzhi Ma, Zenggui Wang
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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
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AIP Advances, 2021 This article studies the generalized (2 + 1)-dimensional shallow water equation by applying two recent analytical schemes (the extended simplest equation method and the modified Kudryashov method) for constructing abundant novel solitary wave solutions ...
Yuming Chu +2 more
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AIMS Mathematics, 2023 In this article, a class of fractional coupled nonlinear Schrödinger equations (FCNLS) is suggested to describe the traveling waves in a fractal medium arising in ocean engineering, plasma physics and nonlinear optics.
Baojian Hong, Jinghan Wang, Chen Li
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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
, 2002 This short review is an introduction to a great variety of methods, the collection of which is called the Painlev\'e analysis, intended at producing all kinds of exact (as opposed to perturbative) results on nonlinear equations, whether ordinary, partial,
Conte, Robert, Musette, Micheline
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 4, Page 5039-5063, 15 March 2025.This article presents an analytical investigation performed on a generalized geophysical Korteweg–de Vries model with nonlinear power law in ocean science. To start with, achieving diverse solitary wave solutions to the generalized power‐law model involves using wave transformation, which reduces the model to a nonlinear ordinary differential equation.
Oke Davies Adeyemo
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