TY - JOUR
AU - Rajagopalan, R.
AU - Abdel Kader, A. H.
AU - Abdel Latif, M. S.
AU - Baleanu, D.
AU - Sonbaty, A. E.
PY - 2023
TI - Some new exact solutions for a generalized variable coefficients KdV equation
JO - Journal of Mathematics and Computer Science
SP - 1--11
VL - 29
IS - 1
AB - In this paper, the variable coefficients KdV equation with general power nonlinearities is proposed. Firstly, it is transformed into a generalized KdV equation with constant coefficients using a point transformation. Then, the traveling wave transformation is utilized to transform the obtained constant coefficients generalized KdV equation into a generalized ordinary differential equation. We give a classification for the obtained generalized ordinary differential equation using a suitable integrating factor. Some new solutions are obtained for the generalized KdV equation with constant coefficients. All the obtained solutions in this paper for the variable coefficients KdV equation with general power nonlinearities are new.
SN - ISSN 2008-949X
UR - http://dx.doi.org/10.22436/jmcs.029.01.01
DO - 10.22436/jmcs.029.01.01
ID - Rajagopalan2023
ER -