Results 11 to 20 of about 79,658 (267)

On the Method of Transformations: Obtaining Solutions of Nonlinear Differential Equations by Means of the Solutions of Simpler Linear or Nonlinear Differential Equations

Axioms, 2023
Transformations are much used to connect complicated nonlinear differential equations to simple equations with known exact solutions. Two examples of this are the Hopf–Cole transformation and the simple equations method.
Nikolay K. Vitanov
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A novel spectral technique for 2D fractional telegraph equation models with spatial variable coefficients

Journal of Taibah University for Science, 2022
In this paper, a class of the two-dimensional (2D) mathematical models of the time fractional telegraph equation with spatial variable coefficients is considered.
Hoda F. Ahmed, W. A. Hashem
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The two-way parabolic wave equation and reverberation from boundaries. [PDF]

The Journal of the Acoustical Society of America, 1991
The parabolic equation (PE) method has been generalized to handle backscattered energy with the single-scattering approximation. As with the two-way coupled mode method, range-dependent environments are approximated by a sequence of range-independent regions.
Michael D. Collins, W. A. Kuperman, R. B. Evans   +2 more
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The unified method for abundant soliton solutions of local time fractional nonlinear evolution equations

Results in Physics, 2021
This work studies two important temporal fractional nonlinear evolution equations, namely the (2+1)-dimensional Chaffee–Infante equation and (1+1)-dimensional Zakharov equation by way of the unified method along with properties of local M-derivative. The
Nauman Raza, Muhammad Hamza Rafiq, Melike Kaplan, Sunil Kumar, Yu-Ming Chu   +4 more
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Some novel integration techniques to explore the conformable M-fractional Schrödinger-Hirota equation

Journal of Ocean Engineering and Science, 2022
The current study deals with exact soliton solutions for Schrödinger-Hirota (SH) equation via two modified integration methods. Those methods are known as the improved (G′/G)-expansion method and the Kudryashov method. This model is a generalized version
Asim Zafar, M. Raheel, M. Asif, Kamyar Hosseini, Mohammad Mirzazadeh, Lanre Akinyemi   +5 more
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Gravitational path integral from the T 2 deformation

Journal of High Energy Physics, 2020
We study a T 2 deformation of large N conformal field theories, a higher dimensional generalization of the T T ¯ $$ T\overline{T} $$ deformation. The deformed partition function satisfies a flow equation of the diffusion type.
Alexandre Belin, Aitor Lewkowycz, Gábor Sárosi   +2 more
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Analytical wave solutions of the space time fractional modified regularized long wave equation involving the conformable fractional derivative

Karbala International Journal of Modern Science, 2019
The space time fractional modified regularized long wave equation is a model equation to the gravitational water waves in the long-wave occupancy, shallow waters waves in coastal seas, the hydro-magnetic waves in cold plasma, the phonetic waves in ...
M. Hafiz Uddin, Md. Ashrafuzzaman Khan, M. Ali Akbar, Md. Abdul Haque   +3 more
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Wave Equations of Porous Media Saturated With Two Immiscible Fluids Based on the Volume Averaging Method

Frontiers in Earth Science, 2021
Simulating and predicting wave propagation in porous media saturated with two fluids is an important issue in geophysical exploration studies. In this work, wave propagation in porous media with specified structures saturated with two immiscible fluids ...
Fansheng Xiong, Fansheng Xiong, Jiawei Liu, Jiawei Liu, Jiawei Liu, Zhenwei Guo, Zhenwei Guo, Zhenwei Guo, Jianxin Liu, Jianxin Liu, Jianxin Liu   +10 more
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New solitary wave in shallow water, plasma and ion acoustic plasma via the GZK-BBM equation and the RLW equation

Propulsion and Power Research, 2017
This work obtains the disguise version of exact solitary wave solutions of the generalized (2+1)-dimensional Zakharov-Kuznetsov–Benjamin-Bona-Mahony and the regularized long wave equation with some free parameters via modified simple equation method (MSE)
Harun-Or Roshid, Md. Mamunur Roshid, Nizhum Rahman, Mst. Razia Pervin   +3 more
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A (3 + 1)-dimensional nonlinear extended Zakharov–Kuznetsov dynamical equation: Bifurcation and traveling wave solutions

AIP Advances, 2020
This paper studies the (3 + 1) extended Zakharov–Kuznetsov (EZK) dynamical equation that is utilized to describe nonlinear three-dimensional dust-ion-acoustic solitary waves in a magnetized two-ion-temperature dusty plasma.
M. M. Arab
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