Results 101 to 110 of about 12,223,520 (196)

Lie Symmetry Analysis of Kudryashov-Sinelshchikov Equation

, 2011
The Lie symmetry method is performed for the fifth-order nonlinear evolution Kudryashov-Sinelshchikov equation. We will find ones and two-dimensional optimal systems of Lie subalgebras.
Vahid Shirvani-Sh, Mehdi Nadjafikhah
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Exact Solutions of Nonlinear Partial Differential Equations Using the Extended Kudryashov Method and Some Properties

, 2023
In this paper, we consider how to find new exact solutions for nonlinear partial differential equations using the extended Kudryashov method. This method mainly uses the Riccati equation and the Bernoulli equation where there are some underdetermined ...
Jian Zhou, Shiyin Zhao, Yufeng Zhang, Long Ju   +3 more
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Nonlinear wave solutions of the Kudryashov–Sinelshchikov dynamical equation in mixtures liquid-gas bubbles under the consideration of heat transfer and viscosity

Journal of Taibah University for Science, 2019
In this research, we constructed the exact travelling and solitary wave solutions of the Kudryashov–Sinelshchikov (KS) equation by implementing the modified mathematical method.
Aly R. Seadawy, Mujahid Iqbal, Dianchen Lu   +2 more
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The generalized Kudryashov method to obtain exact traveling wave solutions of the PHI-four equation and the Fisher equation

, 2017
In recent years, searching exact traveling wave solutions to nonlinear evolution equations (NLEEs) has become a remarkable topic of research. In this article, we obtain exact traveling wave solutions of two significant NLEEs, namely, the PHI-four ...
Md Samsuzzoha, Forhad Mahmud, M. Ali Akbar   +2 more
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Exact solutions of the Kudryashov-Sinelshchikov equation by modified exp-function method [PDF]

International Mathematical Forum, 2013
Yinghui He, Shaolin Li, Yao Long
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New Analytical Soliton Molecule Solutions of the Conformable Time-Fractional Sharma-Tasso-Olver-Burgers Equation Using Modified Kudryashov Method

In this study, novel analytical soliton molecule solutions for the conformable time-fractional Sharma-Tasso-Olver-Burgers (STOB) equation have been obtained using the modified Kudryashov method for the first time.
Muammer Ayata, Fatih Maraşlı
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Conservation laws and exact solutions of Kudryashov-Sinelshchikov equation and Benney-Luke equation [PDF]

, 2017
MSc (Applied Mathematics), North-West University, Mafikeng Campus, 2017In this dissertation we study two nonlinear partial differential equations namely; the Kudryashov-Sinclshchikov equation and the Benney-Luke equation.
Mbusi, Sivenathi Oscar
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On the structure of the higher dimensional Date-Jimbo-Kashiwara-Miwa model emerging in water waves

Discover Applied Sciences
In this paper, the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa (DJKM) equation is investigated. The unified method, the modified Kudryashov scheme and the extended modified auxiliary equation mapping technique are employed to construct a variety of some ...
Kalim U. Tariq, Jalil Manafian, Somaye Malmir, R. Nadir Tufail, Onur Alp Ilhan, Khaled H. Mahmoud   +5 more
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Exact optical soliton solutions and interaction dynamics in fractional nonlinear systems

Frontiers in Applied Mathematics and Statistics
This paper aims to provide a rigorous analytical investigation of multisoliton dynamics within a conformable concatenated nonlinear framework that unifies the nonlinear Schrödinger, Sasa Satsuma, and Lakshmanan Porsezian Daniel equations through the ...
Saleh M. Alzahrani, Chokri Chniti, Dalal Marzouq AlMutairi   +2 more
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Improving the accuracy of depth of anaesthesia using modified detrended fluctuation analysis method

, 2010
This paper presents a modified detrended fluctuation analysis (MDFA) to improve the monitoring accuracy of the depth of anaesthesia (DoA). We first use MDFA to classify anaesthesia state levels into awake, light, moderate, deep and very deep states. Then
Wen, Peng, Nguyen-Ky, T., Li, Yan
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