Results 11 to 20 of about 998,269 (325)

Reductions and Conservation Laws of a Generalized Third-Order PDE via Multi-Reduction Method

Mathematics, 2022
In this work, we consider a family of nonlinear third-order evolution equations, where two arbitrary functions depending on the dependent variable appear. Evolution equations of this type model several real-world phenomena, such as diffusion, convection,
María S. Bruzón, Rafael de la Rosa, María L. Gandarias, Rita Tracinà   +3 more
doaj   +1 more source

New solution algorithm of coupled nonlinear system of Schrodinger equations

Alexandria Engineering Journal, 2018
In this article, new extension of the generalized and improved homogeneous balance method is proposed for constructing new structure of rich class of exact travelling wave solutions of nonlinear evolution equations by using the Maple package.
A. Neirameh, M. Eslami, S. Shokooh
doaj   +1 more source

Randomness and Nonlinear Evolution Equations [PDF]

Acta Mathematica Sinica, English Series, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nahmod, Andrea, Staffilani, Gigliola
openaire   +4 more sources

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

Partial 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, Mohamed S. Abdel Latif, Dumitru Baleanu   +2 more
doaj   +1 more source

White noise theory and general improved Kudryashov method for stochastic nonlinear evolution equations with conformable derivatives

Advances in Difference Equations, 2020
The aim of this work is to investigate the Wick-type stochastic nonlinear evolution equations with conformable derivatives. The general Kudryashov method is improved by a new auxiliary equation.
Abd-Allah Hyder
doaj   +1 more source

On differential equations invariant under a projective transformation group: integrability and reductions [PDF]

Open Communications in Nonlinear Mathematical Physics
We consider a projective transformation and establish the invariants for this transformation group up to order seven. We use the obtained invariants to construct a class of nonlinear evolution equations and identify some symmetry-integrable equations in ...
Marianna Euler, Norbert Euler, Francesco Oliveri   +2 more
doaj   +1 more source

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

Alexandria 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

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

Journal 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, Md. Ali Akbar, J.F. Gómez-Aguilar, E. Bonyah, G. Fernandez-Anaya   +4 more
doaj   +1 more source

Instability and dynamics of two nonlinearly coupled laser beams in a plasma [PDF]

, 2006
We investigate the nonlinear interaction between two laser beams in a plasma in the weakly nonlinear and relativistic regime. The evolution of the laser beams is governed by two nonlinear Schroedinger equations that are coupled with the slow plasma ...
Dieckmann, M. E., Eliasson, B., Kourakis, I., Marklund, M., Parviainen, M., Shukla, P. K., Stenflo, L.   +6 more
core   +3 more sources

New Jacobi Elliptic Function Solutions for the Zakharov Equations

Journal 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