Soliton solutions to a few fractional nonlinear evolution equations in shallow water wave dynamics
M Mirzazadeh, M Ekici, A Sonmezoglu… - The European Physical …, 2016 - Springer
This paper studies a few nonlinear evolution equations that appear with fractional temporal
evolution and fractional spatial derivatives. These are Benjamin-Bona-Mahoney equation …
evolution and fractional spatial derivatives. These are Benjamin-Bona-Mahoney equation …
A note on exp-function method combined with complex transform method applied to fractional differential equations
In this article, the fractional derivatives in the sense of modified Riemann–Liouville and the
exp-function method are used to construct exact solutions for some nonlinear partial …
exp-function method are used to construct exact solutions for some nonlinear partial …
[PDF][PDF] A short review on analytical methods for fractional equations with He's fractional derivative
Y Wang, YF Zhang, JG Liu, M Iqbal - Thermal Science, 2017 - doiserbia.nb.rs
He's fractional derivative is adopted in this paper, and analytical methods for fractional
differential equations are briefly reviewed, two modifications of the exp-function method (the …
differential equations are briefly reviewed, two modifications of the exp-function method (the …
Analytical solutions for nonlinear dispersive physical model
Nonlinear evolution equations widely describe phenomena in various fields of science, such
as plasma, nuclear physics, chemical reactions, optics, shallow water waves, fluid dynamics …
as plasma, nuclear physics, chemical reactions, optics, shallow water waves, fluid dynamics …
Numerical Simulation of Time Fractional BBM‐Burger Equation Using Cubic B‐Spline Functions
The unidirectional propagation of long waves in certain nonlinear dispersive system is
explained by the Benjamin‐Bona‐Mahony‐Burger (BBM‐Burger) equation. The purpose of …
explained by the Benjamin‐Bona‐Mahony‐Burger (BBM‐Burger) equation. The purpose of …
Soliton solution of fractional-order nonlinear differential equations based on the exp-function method
O Guner, H Atik - Optik, 2016 - Elsevier
The exp-function method and fractional complex transform are applied for exact solutions of
time fractional modified nonlinear Kawahara equation and fractional advection–diffusion …
time fractional modified nonlinear Kawahara equation and fractional advection–diffusion …
On the solutions of the space and time fractional Benjamin–Bona–Mahony equation
M Mirzazadeh, M Ekici, A Sonmezoglu - Iranian Journal of Science and …, 2017 - Springer
In this paper, the extended trial equation method is used for constructing exact solutions of
fractional partial differential equations (FPDEs) in the sense of Jumarie's modified Riemann …
fractional partial differential equations (FPDEs) in the sense of Jumarie's modified Riemann …
On the concept of exact solution for nonlinear differential equations of fractional‐order
In this article, the new exact travelling wave solutions of the nonlinear space‐time fractional
Burger's, the nonlinear space‐time fractional Telegraph and the nonlinear space‐time …
Burger's, the nonlinear space‐time fractional Telegraph and the nonlinear space‐time …
[PDF][PDF] Research Article Analytical Solutions for Nonlinear Dispersive Physical Model
Nonlinear evolution equations widely describe phenomena in various fields of science, such
as plasma, nuclear physics, chemical reactions, optics, shallow water waves, fluid dynamics …
as plasma, nuclear physics, chemical reactions, optics, shallow water waves, fluid dynamics …