Results 11 to 20 of about 5,063,540 (351)

The Generalized Projective Riccati Equations Method for Solving Nonlinear Evolution Equations in Mathematical Physics

open access: yesAbstract and Applied Analysis, 2014
We apply the generalized projective Riccati equations method to find the exact traveling wave solutions of some nonlinear evolution equations with any-order nonlinear terms, namely, the nonlinear Pochhammer-Chree equation, the nonlinear Burgers equation ...
E. M. E. Zayed, K. A. E. Alurrfi
doaj   +1 more source

The Modified Rational Jacobi Elliptic Functions Method for Nonlinear Differential Difference Equations

open access: yesJournal of Applied Mathematics, 2012
We modified the rational Jacobi elliptic functions method to construct some new exact solutions for nonlinear differential difference equations in mathematical physics via the lattice equation, the discrete nonlinear Schrodinger equation with a saturable
Khaled A. Gepreel   +2 more
doaj   +1 more source

Novel Optical Soliton Waves in Metamaterials with Parabolic Law of Nonlinearity via the IEFM and ISEM

open access: yesJournal of Function Spaces, 2022
Here, the miscellaneous soliton solutions of the generalized nonlinear Schrödinger equation are considered that describe the model of few-cycle pulse propagation in metamaterials with parabolic law of nonlinearity.
Xiaoyan Li   +5 more
doaj   +1 more source

Polar compactons and solitons in a two dimensional optical waveguide: Theory and simulations

open access: yesResults in Optics, 2023
The propagation of optical cylindrical compactons and solitons in a two dimensional nonlocal nonlinear waveguide is deeply investigated by carrying a particular emphasis on its nonlinear response function.
Fabien Kenmogne   +6 more
doaj   +1 more source

A New Newton Method with Memory for Solving Nonlinear Equations

open access: yesMathematics, 2020
A new Newton method with memory is proposed by using a variable self-accelerating parameter. Firstly, a modified Newton method without memory with invariant parameter is constructed for solving nonlinear equations. Substituting the invariant parameter of
Xiaofeng Wang, Yuxi Tao
doaj   +1 more source

Distribution of flows in a channel network under steady flow conditions

open access: yesActa Scientiarum Polonorum. Formatio Circumiectus, 2019
Aim of the study The article presents an algorithm for calculating the distribution of flow in a junction of open channel network under steady flow conditions.
Dariusz Gąsiorowski   +1 more
doaj   +1 more source

Computation of semi-analytical solutions of fuzzy nonlinear integral equations

open access: yesAdvances in Difference Equations, 2020
In this article, we use a fuzzy number in its parametric form to solve a fuzzy nonlinear integral equation of the second kind in the crisp case. The main theme of this article is to find a semi-analytical solution of fuzzy nonlinear integral equations. A
Zia Ullah   +3 more
doaj   +1 more source

Linearisation of a second-order nonlinear ordinary differential equation

open access: yesActa Polytechnica, 2023
We analyse nonlinear second-order differential equations in terms of algebraic properties by reducing a nonlinear partial differential equation to a nonlinear second-order ordinary differential equation via the point symmetry f(v)∂v.
Adhir Maharaj   +3 more
doaj   +1 more source

Two-point method for solving nonlinear equation with nondifferentiable operator (in Ukrainian) [PDF]

open access: yesМатематичні Студії, 2011
In the paper we study a combined differential-difference method for solving nonlinear equations with non-differentiable operator. The semilocal convergence of the method is investigated and the order of convergence is established.
S. M. Shakhno, H. P. Yarmola
doaj  

Asymptotic Integration of Fractional Differential Equations with Integrodifferential Right-Hand Side

open access: yesMathematical Modelling and Analysis, 2015
In this paper we deal with the problem of asymptotic integration of a class of fractional differential equations of the Caputo type. The left-hand side of such type of equation is the Caputo derivative of the fractional order r ∈ (n − 1, n) of the ...
Milan Medved, Michal Pospisil
doaj   +1 more source

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