Results 11 to 20 of about 44,082 (308)

Potentialisations of a class of fully-nonlinear symmetry-integrable evolution equations [PDF]

Open Communications in Nonlinear Mathematical Physics
We consider here the class of fully-nonlinear symmetry-integrable third-order evolution equations in 1+1 dimensions that were proposed recently in the journal Open Communications in Nonlinear Mathematical Physics, vol. 2, 216--228 (2022).
Marianna Euler, Norbert Euler
doaj   +3 more sources

Finding exact solutions for selected nonlinear evolution differential equations [PDF]

, 2023
Burgers, Breaking Soliton and Boussinesq equations are applicable in different areas of physics. Searching their real solutions are particularly important.
Mohammed, Mayada G.., Strunin, Dmitry V., Bhanot, Rajeev P.   +2 more
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Symbolic Computation of Polynomial Conserved Densities, Generalized Symmetries, and Recursion Operators for Nonlinear Differential-Difference Equations [PDF]

, 2004
Algorithms for the symbolic computation of polynomial conserved densities, fluxes, generalized symmetries, and recursion operators for systems of nonlinear differential-difference equations are presented. In the algorithms we use discrete versions of the
Jan A. S, J. Sayers, Jack Sayers, Sayers, J., J. Wang, Sayers, Jack, Sanders, J.A., Hereman, Willy, Jing Ping Wang, J. Sanders, W. Hereman, Willy Hereman, Wang, J.P., Wang, Jing Ping, Sanders, Jan A., Hereman, W.   +15 more
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Partially integrable nonlinear equations with one higher symmetry [PDF]

, 2005
In this letter, we present a family of second order in time nonlinear partial differential equations, which have only one higher symmetry.
Mikhailov, AV, Novikov, Vladimir S., Mikhailov, Alexander V., Wang, Jing Ping, Novikov, VS, Wang, JP   +5 more
core   +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
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Nonsmooth Analysis of doubly nonlinear evolution equations [PDF]

, 2011
. In this paper we analyze a broad class of abstract doubly nonlinear evolution equa-tions in Banach spaces, driven by nonsmooth and nonconvex energies. We provide some general sufficient conditions, on the dissipation potential and the energy functional,
Mielke Alexander, Alexander Mielke, ROSSI, Riccarda, SAVARE', GIUSEPPE, Savare' Giuseppe, Giuseppe Savaré, Mielke, Alexander, Riccarda Rossi, Savaré, Giuseppe   +8 more
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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