Results 11 to 20 of about 419,406 (294)

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

New exact solutions for time-fractional Kaup-Kupershmidt equation using improved (G′/G)-expansion and extended (G′/G)-expansion methods

open access: yesAlexandria Engineering Journal, 2020
The mathematical modeling of physical systems is generally governed by evolution equations in nonlinear form. Therefore, it is critical to obtain exact analytical solutions to these equations.
S. Sahoo, S. Saha Ray, M.A. Abdou
doaj   +1 more source

Representation of exact solutions of ψ-fractional nonlinear evolution equations using two different approaches

open access: yesPartial Differential Equations in Applied Mathematics, 2021
In this paper, we investigate the applicability of the separation of variables method (SVM) and the invariant subspace method (ISM) for getting exact solutions of variable coefficients nonlinear fractional partial differential equations with ψ-Riemann ...
Abass. H. Abdel Kader   +2 more
doaj   +1 more source

New Jacobi Elliptic Function Solutions for the Zakharov Equations

open access: yesJournal of Applied Mathematics, 2012
A generalized (G′/G)-expansion method is proposed to seek the exact solutions of nonlinear evolution equations. Being concise and straightforward, this method is applied to the Zakharov equations.
Yun-Mei Zhao
doaj   +1 more source

New analytical solutions for conformable fractional PDEs arising in mathematical physics by exp-function method

open access: yesOpen Physics, 2017
Modelling of physical systems mathematically, produces nonlinear evolution equations. Most of the physical systems in nature are intrinsically nonlinear, therefore modelling such systems mathematically leads us to nonlinear evolution equations.
Tasbozan Orkun   +3 more
doaj   +1 more source

Explicit solutions of the fifth-order KdV type nonlinear evolution equation using the system technique

open access: yesResults in Physics, 2016
We consider the generalized fifth-order KdV type nonlinear evolution equation with variable coefficients. The system technique has been applied rigorously in order to find new exact solutions of the considered equations.
Hyunsoo Kim, Sunmi Lee
doaj   +1 more source

Assorted soliton structures of solutions for fractional nonlinear Schrodinger types evolution equations

open access: yesJournal of Ocean Engineering and Science, 2022
Fractional order nonlinear evolution equations have emerged in recent times as being very important model for depicting the interior behavior of nonlinear phenomena that exist in the real world.
Md. Tarikul Islam   +4 more
doaj   +1 more source

Minimax Control of Nonlinear Evolution Equations [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Papageorgiou, Nikolaos S.   +1 more
openaire   +2 more sources

The Simplest Equation Method and Its Application for Solving the Nonlinear NLSE, KGZ, GDS, DS, and GZ Equations

open access: yesJournal of Applied Mathematics, 2013
A good idea of finding the exact solutions of the nonlinear evolution equations is introduced. The idea is that the exact solutions of the elliptic-like equations are derived using the simplest equation method and the modified simplest equation method ...
Yun-Mei Zhao, Ying-Hui He, Yao Long
doaj   +1 more source

Traveling wave solutions in closed form for some nonlinear fractional evolution equations related to conformable fractional derivative

open access: yesAIMS Mathematics, 2018
Fractional order nonlinear evolution equations involving conformable fractional derivative are formulated and revealed for attractive solutions to depict the physical phenomena of nonlinear mechanisms in the real world. The core aim of this article is to
M. Tarikul Islam   +2 more
doaj   +1 more source

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