On the exact solution of time-fractional \((2 + 1)\) dimensional Konopelchenko-Dubrovsky equation

DOI10.1007/s40819-019-0678-zzbMath1419.35211OpenAlexW2947346321WikidataQ127758539 ScholiaQ127758539MaRDI QIDQ2001816

Yanyan Li

Publication date: 11 July 2019

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-019-0678-z

zbMATH Keywords

fractional complex transformJumarie's modified Riemann-Liouville derivativegeneralized Kudryashov methodfractional Konopelchenko-Dubrovsky equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• New approach for the Fornberg-Whitham type equations
• Application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations
• One method for finding exact solutions of nonlinear differential equations
• Application of the \((\frac{G'}{G})\)-expansion method for nonlinear evolution equations
• New exact solutions to the \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation
• Generalized solitonary and periodic solutions for nonlinear partial differential equations by the Exp-function method
• New exact solutions for the Konopelchenko-Dubrovsky equation using an extended Riccati equation rational expansion method and symbolic computation
• Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions
• New kinks and solitons solutions to the \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation
• Solitary wave solutions of time-space nonlinear fractional Schrödinger's equation: two analytical approaches
• Symbolic computation and new families of exact soliton-like solutions of Konopelchenko-Dubrov\-sky equations
• A novel method for a fractional derivative with non-local and non-singular kernel
• Solutions of fractional Konopelchenko-Dubrovsky and Nizhnik-Novikov-Veselov equations using a generalized fractional subequation method
• Abundant multisoliton structures of the Konopelchenko-Dubrovsky equation
• Symbolic computation and new families of exact non-travelling wave solutions of \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations
• Further improved F-expansion method and new exact solutions of Konopelchenko--Dubrovsky equation
• Symbolic-computation study of integrable properties for the (2 + 1)-dimensional Gardner equation with the two-singular manifold method
• An Anylatical approach for space–time fractal order nonlinear dynamics of microtubules

This page was built for publication: On the exact solution of time-fractional \((2 + 1)\) dimensional Konopelchenko-Dubrovsky equation