In this paper, the fractional derivatives in the sense of modified Riemann–Liouville derivative and the ansatz method and the functional variable method are used to construct exact solutions for (3+1)-dimensional time fractional KdV-Zakharov-Kuznetsov (KdV-ZK) equation. This fractional equation is turned into another nonlinear ordinary differential equation by fractional complex transform then these methods are applied to solve it. As a result, some new exact solutions obtained.
Soliton solution and other solutions to a nonlinear fractional differential equation
ICNPAA 2016 WORLD CONGRESS: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences ; 2016 ; La Rochelle, France
AIP Conference Proceedings ; 1798 , 1
2017-01-27
6 pages
Conference paper
Electronic Resource
English
British Library Online Contents | 2017
|Soliton-like solutions for the nonlinear schrödinger equation with variable quadratic hamiltonians
British Library Online Contents | 2012
|British Library Online Contents | 2012
|N-soliton solutions in the higher-order nonlinear Schroedinger equation [3552-30]
British Library Conference Proceedings | 1998
|Dark optical and other soliton solutions for the three different nonlinear Schrödinger equations
British Library Online Contents | 2017
|