Results 61 to 70 of about 3,928 (199)

Solving fractional nonlinear partial differential equations by the modified Kudryashov method

Journal of Physics: Conference Series, 2019
Abstract There are more and more methods for transforming nonlinear partial differential equations into ordinary differential equations by using the traveling wave transform. In this paper, the modified Kudryashov method is used to use the new traveling wave transform, and the exact solution of the space-time fractional equal-width ...
Menghan Hao, Yanni Zhang, Jing Pang
openaire   +1 more source

Generation of Processed‐to‐Raw Food Conversion Factors for Estimating Food Raw Material Intake From Various Processed Foods: Valuable Tools for Dietary Exposure Assessments

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, Yerim Han, Chaehyun Kim, You Rim Kang, Seung Hui Baik, Yoon Jung Park, Ji‐Myung Kim, Youngjoo Kwon   +7 more
wiley   +1 more source

Application of Kudryashov Method to Some Equations Used in Physics Science

Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
In this study, Kudryashov Method is used to find the wave solutions of the Gardner equation, fifth order Caudrey-Dodd-Gibbon equation and Sawada-Kotera equation, which are non-linear partial differential equations used as a mathematical model in the physics science field and engineering applications.
Yıldız, Güldem, Türkmen, Çiğdem
openaire   +3 more sources

Diverse general solitary wave solutions and conserved currents of a generalized geophysical Korteweg–de Vries model with nonlinear power law in ocean science

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
wiley   +1 more source

Novel wave solutions for the sixth-order Boussinesq equation arising in nonlinear lattice dynamics

AIMS Mathematics
This study examines a class of Boussinesq equations with sixth-order using two promising analytical methods. The equation in question is among the frontier evolution equations with significant relevance in nonlinear lattice dynamics. To study this model,
Ali Althobaiti
doaj   +1 more source

Lie Symmetry Analysis, Traveling Wave Solutions, and Conservation Laws to the (3 + 1)-Dimensional Generalized B-Type Kadomtsev-Petviashvili Equation

Complexity, 2020
In this paper, the (3 + 1)-dimensional generalized B-type Kadomtsev-Petviashvili(BKP) equation is studied applying Lie symmetry analysis. We apply the Lie symmetry method to the (3 + 1)-dimensional generalized BKP equation and derive its symmetry ...
Huizhang Yang, Wei Liu, Yunmei Zhao
doaj   +1 more source

Explicit expressions for meromorphic solution of autonomous nonlinear ordinary differential equations

, 2011
Meromorphic solutions of autonomous nonlinear ordinary differential equations are studied. An algorithm for constructing meromorphic solutions in explicit form is presented.
Eremenko, Hone, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Lavrent’ev, Malfliet, Maria V. Demina, Nevanlinna, Nikolay A. Kudryashov, Parkes, Sikorsky, Vernov, Vernov   +21 more
core   +1 more source

Retrieval of the optical soliton solutions of the perturbed Schrödinger–Hirota equation with generalized anti‐cubic law nonlinearity having the spatio‐temporal dispersion

Mathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 2164-2178, 30 January 2025.
In this study, we obtained optical soliton solutions of the perturbed nonlinear Schrödinger–Hirota equation with generalized anti‐cubic law nonlinearity in the presence of spatio‐temporal dispersion. This equation models the propagation of optical pulses in fiber optic cables.
Ismail Onder, Aydin Secer, Muslum Ozisik, Mustafa Bayram   +3 more
wiley   +1 more source

Advanced Mathematical Approaches for the Kadomtsev–Petviashvili and Bogoyavlensky–Konopelchenko Equations in Applied Sciences

Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.
The Kadomtsev–Petviashvili (KP) equation and the Bogoyavlensky–Konopelchenko (BK) equation are fundamental models in the study of nonlinear wave dynamics, describing the evolution of weakly dispersive, quasi‐two‐dimensional (2D) wave phenomena in integrable systems.
Md. Abdul Aziz, Jingli Ren
wiley   +1 more source

Ultrasonic and Densitometric Characterization of Hyaluronan and its Interaction with Surfactant [PDF]

, 2014
This disertation thesis is focused on the study of physico-chemical interactions of hyaluronan (with molecular weights from 10 to 1750 kDa) with cationic surfactants measured using uncommon technique named high resolution ultrasonic spectroscopy ...
Hurčíková, Andrea
core