Results 51 to 60 of about 297 (60)

A splitting technique for superposition type solutions of cubic nonlinear ordinary differential equations

, 2017
This paper deals with finding new solutions of nonlinear ordinary differential equations with cubic nonlinearity. Few theorems comprising existence of superposition of two Jacobian elliptic functions as its solutions have been proved.
Prakash Kumar Das, M. M. Panja
semanticscholar   +1 more source

On an integrable system and its relation with the Schwarz KdV equation: exact traveling wave solutions

, 2017
We consider a special integrable system, and we show its relation with the Schwarz KdV equation (SKdV). We use the improved tanhcoth method for solving the first system and the Exp.
A. Gómez, J. Hernandez
semanticscholar   +1 more source

Soliton solutions for a generalized shallow water model

, 2017
We construct exact solutions for a new model, which can be considered as a generalization of the Whitham-Broer-Kaup equation. The new model have variable coefficients (depending of the temporal variable) and forcing terms. We use the tanh-coth method for
C. Gomez
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Traveling wave solutions for a forced Macari system and variable coefficients

, 2017
We consider a nonlinear partial differential system with variable coefficients and a forcing term, and we obtain exact solutions for it, by means of the improved tanh coth method.
C. Gomez
semanticscholar   +1 more source

Traveling wave solutions for a generalization of the (3+1)-dimensional Kadomtsev-Petviashvili equation with variable coefficients

, 2016
We study a generalization of the (3+1)-dimensional KadomtsevPetviashvili (KP) equation from the point of view of its exact solutions. The equation have as particular case the standard (3+1)-dimensional KP equation. The relevance of the calculus made here
A. Gómez, G. H. Garzon
semanticscholar   +1 more source

Exact solutions for the two-dimensional incompressible magnetohydrodynamics equations

, 2014
In this paper, we construct three kinds of exact solutions for twodimensional incompressible magnetohydrodynamics (MHD) equations by making use of the Riccati auxiliary equation. These solutions include well-known bounded soliton solutions.
K. Cheung
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Exact solutions for Bullough-Dodd equation using rational functions

, 2014
Starting with magnetohydrodynamic (MHD) equilibria for plasma field, and under certain conditions these MHD equations were reduced to a single nonlinear elliptic equation for magnetic potential u~ , known as Grad-Shafranov equation.
A. Nuseir, A. Nusayr
semanticscholar   +1 more source

EXPLICIT SOLUTION FOR THE ONE-PHASE STEFAN PROBLEM WITH LATENT HEAT DEPENDING ON THE POSITION AND A CONVECTIVE BOUNDARY CONDITION AT THE FIXED FACE

, 2018
An explicit solution of a similarity type is obtained for a onephase Stefan problem in a semi-infinite material using Kummer functions. It is considered a phase-change problem with a latent heat defined as a power function of the position with a non ...
Julieta Bollati, D. Tarzia
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Multidimensional fluid motions with planar waves

, 2007
In the classical one-dimensional solution of fluid dynamics equations all unknown functions depend only on time t and Cartesian coordinate x. Although fluid spreads in all directions (velocity vector has three components) the whole picture of motion is ...
S. Golovin
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The explicit solutions to the nonlinear Dirac equation and Dirac-Klein-Gordon equation

, 2007
Shuji Machihara, Takayuki Omoso
semanticscholar   +1 more source