Results 11 to 20 of about 25,108,413 (282)

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

open access: yes, 2010
Two recent papers are considered in which solitary travelling-wave solutions to the transformed reduced Ostrovsky equation are presented.
Parkes, E.J.
core   +4 more sources

Exact solitary and periodic-wave solutions of the K(2,2) equation (defocusing branch) [PDF]

open access: yes, 2010
An auxiliary elliptic equation method is presented for constructing exact solitary and periodic travelling-wave solutions of the K(2, 2) equation (defocusing branch). Some known results in the literature are recovered more efficiently, and some new exact
Cao, J.   +4 more
core   +3 more sources

Some periodic and solitary travelling-wave solutions of the short pulse equation [PDF]

open access: yes, 2008
Exact periodic and solitary travelling-wave solutions of the short pulse equation are ...
Parkes, E.J.
core   +3 more sources

Implicit methods for the simple wave equation [PDF]

open access: yes, 1984
A family of finite difference methods is developed for the numerical solution of the simple wave equation. Local truncation errors are cal- culated for each member of the family and each is analyzed for stability.
Tirmizi, S I A, Twizell, E H
core   +4 more sources

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

open access: yesAxioms, 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
doaj   +1 more source

A novel spectral technique for 2D fractional telegraph equation models with spatial variable coefficients

open access: yesJournal 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
doaj   +1 more source

The unified method for abundant soliton solutions of local time fractional nonlinear evolution equations

open access: yesResults 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   +4 more
doaj   +1 more source

Wave Climate, Geotechnical and Geophysical Analysis of the Tillamook Jetties [PDF]

open access: yes
Wave Energy AS (WE) is an ocean energy company from Norway established to develop, test, market and commercialize the patented SSG™ wave energy converter technology.
Wave Energy AS, Bakke, Monica
core   +6 more sources

Solitary-wave solutions of the Degasperis-Procesi equation by means of the homotopy analysis method [PDF]

open access: yes, 2010
The homotopy analysis method is applied to the Degasperis-Procesi equation in order to find analytic approximations to the known exact solitary-wave solutions for the solitary peakon wave and the family of solitary smooth-hump waves.
Abbasbandy, S., Parkes, E.J.
core   +3 more sources

Analytical wave solutions of the space time fractional modified regularized long wave equation involving the conformable fractional derivative

open access: yesKarbala 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   +3 more
doaj   +1 more source

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