Solution of space time fractional generalized KdV equation, KdV burger equation and Bona-Mahoney-Burgers equation with dual power-law nonlinearity using complex fractional transformation
Abstract
Fractional calculus is a rising subject in the current research field. The researchers of different disciplines are using fractional calculus models to investigate different practical problems. In this paper, we found the exact solutions of space-time fractional generalized KdV equation, KdV Burger equation and Benjamin-Bona-Mahoney-Burgers equation with dual power-law nonlinearity. The solutions are expressed in terms of hyperbolic, trigonometric and rational functions.
Copyright © 2017 Uttam Ghosh, Santanu Raut, Susmita Sarkar, Shantanu Das. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
U. Ghosh, S. Raut, S. Sarkar, S. Das, Solution of space time fractional generalized KdV equation, KdV burger equation and Bona-Mahoney-Burgers equation with dual power-law nonlinearity using complex fractional transformation, J. Math. Comput. Sci. 8 (2018), 114–129.
BibTeX
@article{Ghosh2018,
author = {Ghosh, Uttam and Raut, Santanu and Sarkar, Susmita and Das, Shantanu},
title = {Solution of space time fractional generalized KdV equation, KdV burger equation and Bona-Mahoney-Burgers equation with dual power-law nonlinearity using complex fractional transformation},
journal = {J. Math. Comput. Sci.},
volume = {8},
year = {2018},
pages = {114--129},
doi = {}
}