Results 11 to 20 of about 2,995 (267)

Doubly periodic wave structure of the modified Schrödinger equation with fractional temporal evolution

Results in Physics, 2022
Abundant Jacobi elliptic type solutions with distinct physical structures of complex nonlinear conformable time-fractional modified Schrödinger equation are obtained by using the generalized Jacobi elliptic function (GJEF) method.
Pinki Kumari, R.K. Gupta, Sachin Kumar, K.S. Nisar   +3 more
doaj   +1 more source

Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations

International Journal of Mathematics and Mathematical Sciences, 1989
The decomposition method is applied to examples of hyperbolic, parabolic, and elliptic partial differential equations without use of linearizatlon techniques.
G. Adomian
doaj   +1 more source

New Exact Solutions of Some Important Nonlinear Fractional Partial Differential Equations with Beta Derivative

Fractal and Fractional, 2022
In this work, the F-expansion method is used to find exact solutions of the space-time fractional modified Benjamin Bona Mahony equation and the nonlinear time fractional Schrödinger equation with beta derivative.
Erdogan Mehmet Ozkan
doaj   +1 more source

Jacobi Elliptic Solutions for Nonlinear Differential Difference Equations in Mathematical Physics

Journal of Applied Mathematics, 2012
We put a direct new method to construct the rational Jacobi elliptic solutions for nonlinear differential difference equations which may be called the rational Jacobi elliptic functions method.
Khaled A. Gepreel, A. R. Shehata
doaj   +1 more source

M-Breather, Lumps, and Soliton Molecules for the 2+1-Dimensional Elliptic Toda Equation

Advances in Mathematical Physics, 2021
The 2+1-dimensional elliptic Toda equation is a higher dimensional generalization of the Toda lattice and also a discrete version of the Kadomtsev-Petviashvili-1 (KP1) equation. In this paper, we derive the M-breather solution in the determinant form for
Yuechen Jia, Yu Lu, Miao Yu, Hasi Gegen
doaj   +1 more source

Exact solutions of a coupled space-time fractional nonlinear Schrödinger type equation in quantum mechanics

Results in Physics, 2022
In this paper, we consider a coupled space-time fractional nonlinear Schrödinger type equation which can be used for describing nonrelativistic quantum mechanical behavior. Under the help of the fractional complex transform and the conformable fractional
Lanfang Shi, Xianchun Zhou
doaj   +1 more source

The Extended Trial Equation Method for Some Time Fractional Differential Equations

Discrete Dynamics in Nature and Society, 2013
Nonlinear fractional partial differential equations have been solved with the help of the extended trial equation method. Based on the fractional derivative in the sense of modified Riemann-Liouville derivative and traveling wave transformation, the ...
Yusuf Pandir, Yusuf Gurefe, Emine Misirli   +2 more
doaj   +1 more source

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

Improved General Mapping Deformation Method for Nonlinear Partial Differential Equations in Mathematical Physics

Journal of Applied Mathematics, 2013
We use the improved general mapping deformation method based on the generalized Jacobi elliptic functions expansion method to construct some of the generalized Jacobi elliptic solutions for some nonlinear partial differential equations in mathematical ...
Khaled A. Gepreel
doaj   +1 more source

New Solutions of Elastic Waves in an Elastic Rod under Finite Deformation

Journal of Applied Mathematics, 2014
The nonlinear wave equation of an elastic rod under finite deformation is solved by the extended mapping method. Abundant new exact traveling wave solutions for this equation are obtained, which contain trigonometric function solutions, solitary wave ...
Peng Guo, Xiang Wu, Liangbi Wang
doaj   +1 more source