Results 11 to 20 of about 106,397 (304)

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 note on solitary travelling-wave solutions to the transformed reduced Ostrovsky equation [PDF]

, 2010
Two recent papers are considered in which solitary travelling-wave solutions to the transformed reduced Ostrovsky equation are presented.
Parkes, E.J.
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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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Hexagonal vs. Rectilinear Grids for Explicit Finite Difference Schemes for the Two-dimensional Wave Equation [PDF]

, 2013
Finite difference schemes for the 2-D wave equation operating on hexagonal grids and the accompanyingnumerical dispersion properties have received little attention in comparison to schemes operating on rectilinear grids.
Stefan Bilbao, Brian Hamilton, Bilbao, Stefan, Hamilton, Brian   +3 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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Propagator and wave-equation inversion for near-receiver material properties [PDF]

, 2004
Near-receiver material properties are required for the separation of the recorded wavefield into upgoing and downgoing P and S waves, and are also important for static time-shift corrections.
Trampert, J., Curtis, A.; id_orcid, van Vossen, R.   +2 more
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Construction and Optimization Techniques for High Order Schemes for the Two-dimensional Wave Equation [PDF]

, 2013
With the advent of high performance parallel computing, audio rate room auralization using finite difference time domain methods is becoming possible in a reasonable computation time. Yet, there are still deficiencies in the methods which are used for this
Stefan Bilbao, Brian Hamilton, Bilbao, Stefan, Hamilton, Brian   +3 more
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