Results 21 to 30 of about 4,649,717 (295)

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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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

On the covering dimension of the set of solutions of some nonlinear equations [PDF]

, 1986
We prove an abstract theorem whose sole hypothesis is that the degree of a certain map is nonzero and whose parametric equations are studied using cohomological mconclusions imply sharp, multidimensional continuation results.
Pejsachowicz, Jacobo, Fitzpatrick, P., Massabò, I., Fitzpatrick P., Massabò I., P. M. Fitzpatrick, I. Massabo, J. Pejsachowicz   +7 more
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New analytical solutions for conformable fractional PDEs arising in mathematical physics by exp-function method

Open 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, Çenesiz Yücel, Kurt Ali, Baleanu Dumitru   +3 more
doaj   +1 more source

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

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

Results 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

On a Nonlinear Degenerate Evolution Equation with Nonlinear Boundary Damping [PDF]

Journal of Applied Mathematics, 2015
This paper deals essentially with a nonlinear degenerate evolution equation of the formKu″-Δu+∑j=1nbj∂u′/∂xj+uσu=0supplemented with nonlinear boundary conditions of Neumann type given by∂u/∂ν+h·, u′=0. Under suitable conditions the existence and uniqueness of solutions are shown and that the boundary damping produces a uniform global stability of the ...
Lourêdo, A. T., Siracusa, G., Silva Filho, C. A.   +2 more
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The Simplest Equation Method and Its Application for Solving the Nonlinear NLSE, KGZ, GDS, DS, and GZ Equations

Journal 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

Superposition in Nonlinear Wave and Evolution Equations [PDF]

International Journal of Theoretical Physics, 2006
Real and bounded elliptic solutions suitable for applying the Khare-Sukhatme superposition procedure are presented and used to generate superposition solutions of the generalized modified Kadomtsev-Petviashvili equation (gmKPE) and the nonlinear cubic-quintic Schroedinger equation (NLCQSE).
Schürmann, H. W., Serov, V. S., Nickel, J.   +2 more
openaire   +2 more sources

Numerous analytical wave solutions to the time-fractional unstable nonlinear Schrödinger equation with beta derivative

Partial Differential Equations in Applied Mathematics, 2023
Fractional nonlinear evolution equations are mathematical representations used to explain a wide range of complex phenomena occurring in nature. By incorporating fractional order viscoelasticity, these equations can accurately depict the intricate ...
Sujoy Devnath, Kamruzzaman Khan, M. Ali Akbar   +2 more
doaj   +1 more source