Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Ben Muatjetjeja"'
Publikováno v:
Universe, Vol 9, Iss 5, p 224 (2023)
This paper aims to analyze a generalized Chaffee–Infante equation with power-law nonlinearity in (1+3) dimensions. Ansatz methods are utilized to provide topological and non-topological soliton solutions. Soliton solutions to nonlinear evolution eq
Externí odkaz:
https://doaj.org/article/e2321fb5bb414f7c918645948d925153
Publikováno v:
Mathematics, Vol 9, Iss 22, p 2916 (2021)
The aim of this paper is to compute the exact solutions and conservation of a generalized (1 + 1) dimensional system. This can be achieved by employing symbolic manipulation software such as Maple, Mathematica, or MATLAB. In theoretical physics and i
Externí odkaz:
https://doaj.org/article/f2647f026b4240b09883932b02499085
Publikováno v:
Mathematics, Vol 9, Iss 13, p 1480 (2021)
The aim of this paper is to find the Noether symmetries of a generalized Benney-Luke equation. Thereafter, we construct the associated conserved vectors. In addition, we search for exact solutions for the generalized Benney-Luke equation through the
Externí odkaz:
https://doaj.org/article/72387bddc94548b3874fa93141460512
Publikováno v:
Symmetry, Vol 6, Iss 4, Pp 1026-1036 (2014)
This paper aims to construct conservation laws for a Benjamin–Bona–Mahony equation with variable coefficients, which is a third-order partial differential equation. This equation does not have a Lagrangian and so we transform it to a fourth-order
Externí odkaz:
https://doaj.org/article/f4eaedb28f474c879b0614ca45b1e1a2
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
We study the Drinfel'd-Sokolov-Wilson system, which was introduced as a model of water waves. Firstly we obtain exact solutions of this system using the (G′/G)-expansion method. In addition to exact solutions we also construct conservation laws for
Externí odkaz:
https://doaj.org/article/b7fdce221d924afeb8cad20e5f462666
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
We construct the conservation laws for a variable coefficient variant Boussinesq system, which is a third-order system of two partial differential equations. This system does not have a Lagrangian and so we transform it to a system of fourth-order, w
Externí odkaz:
https://doaj.org/article/9b686a4578a04b558dfcee4bc482ad4f
Publikováno v:
Journal of Applied Mathematics, Vol 2013 (2013)
We perform the group classification of the generalized Lane-Emden system xu′′+nu′+xHv=0, xv′′+nv′+xgu=0, which occurs in many applications of physical phenomena such as pattern formation, population evolution, and chemical reactions. We o
Externí odkaz:
https://doaj.org/article/fb15eef8b4724c7f8dad801211e4ef6b
Publikováno v:
Iranian Journal of Science and Technology, Transactions A: Science. 45:1037-1041
This paper aims to study a ( $$3+1$$ )-dimensional novel KP-like equation, which arises in the analysis of versions of resonant phenomena. The classical symmetry approach will be employed to search for exact solutions. Thereafter, we will search for
Publikováno v:
Journal of Applied Nonlinear Dynamics. 10:65-79
Publikováno v:
Journal of King Saud University - Science. 32:2886-2891
We perform Noether classification of the generalised system of coupled (2 + 1)-dimensional hyperbolic equations, namely u tt - u xx - u yy + P ( v ) = 0 , v tt - v xx - v yy + Q ( u ) = 0 . Besides this we compute conservation laws corresponding to c