Results 91 to 100 of about 12,223,520 (196)
Exact analytical solutions for 3D- Gross–Pitaevskii equation with periodic potential by using the Kudryashov method [PDF]
, 2016 This paper obtains solutions as well as other solutions to the 3D- Gross–Pitaevskii equation, which is called the non-linear Schrodinger equation under the conditions of Kudryashov method that appear in various areas of mathematical physics.
Neirameh, Ahmad
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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
Application of Kudryashov Method to Some Equations Used in Physics Science [PDF]
, 2019 In this study, Kudryashov Method is used to find the wave solutions of the Gardner equation, fifth orderCaudrey-Dodd-Gibbon equation and Sawada-Kotera equation, which are non-linear partial differentialequations used as a mathematical model in the ...
Yıldız, Güldem, Türkmen, Çiğdem
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Soliton solutions of Wu-Zhang system by generalized Kudryashov method
, 2018 In this paper, generalized Kudryashov method (GKM) is used to find some exact solutions of Wu-Zhang system. Firstly, we get dark soliton solutions of this system by using GKM. Then, we plot graphics of some solutions of this system.
ÇELİK, Ercan +5 more
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F-Expansion Method and Its Application for Finding New Exact Solutions to the Kudryashov-Sinelshchikov Equation [PDF]
, 2013 Based on the F-expansion method, and the extended version of F-expansion method, we investigate the exact solutions of the Kudryashov-Sinelshchikov equation. With the aid of Maple, more exact solutions expressed by Jacobi elliptic function are obtained.
Yun-Mei Zhao
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Optical soliton solutions, stability, and modulation instability for fractional multi-components of Gross–Pitaevskii model [PDF]
AIP AdvancesThis study investigates the soliton solutions of the fractional multi-component Gross–Pitaevskii model, a pivotal framework in quantum engineering and nonlinear optics, particularly for its applications in optical fibers.
Saeed M. Alamry +3 more
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, 2014 - In this work, we handle the space-time fractional foam drainage equation and the space-time fractional Klein Gordon equation to solve analytically.
Serife Muge Ege, Emine Misirli
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International Journal of Mathematics and Computer in EngineeringAbstract This study investigates the nonlinear Klein–Gordon (𝕂𝔾) equation, a fundamental relativistic wave equation that governs the propagation of scalar fields across various physical contexts, including the quantum field theory, solid-state physics, and nonlinear optics.
Mostafa M.A. Khater +2 more
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On the relations between some well-known methods and the projective Riccati equations
Open Physics, 2020 Solving nonlinear evolution equations is an important issue in the mathematical and physical sciences. Therefore, traditional methods, such as the method of characteristics, are used to solve nonlinear partial differential equations. A general method for
Akçağıl Şamil
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Extended Kudryashov Method for Fractional Nonlinear Differential Equations
, 2018 In this study, we have propesed the extended Kudryashov method to obtain the exact solutions of nonlinear fractional differential equations. Definiton of modified Riemann Liouville sense fractional derivative is used and the proposed method is applied to
Mısırlı, Emine, Ege, Şerife Müge
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