Solutions of the Perturbed KDV Equation for Convecting Fluids by Factorizations
Mathematical Physics
2010-05-26 v2 math.MP
Abstract
In this paper, we obtain some new explicit travelling wave solutions of the perturbed KdV equation through recent factorization techniques that can be performed when the coefficients of the equation fulfill a certain condition. The solutions are obtained by using a two-step factorization procedure through which the perturbed KdV equation is reduced to a nonlinear second order differential equation, and to some Bernoulli and Abel type differential equations whose solutions are expressed in terms of the exponential and Weierstrass functions
Cite
@article{arxiv.0902.0750,
title = {Solutions of the Perturbed KDV Equation for Convecting Fluids by Factorizations},
author = {O. Cornejo-Perez and H. C. Rosu},
journal= {arXiv preprint arXiv:0902.0750},
year = {2010}
}
Comments
4 pages, some changes in the text according to referees' suggestions, added one reference, accepted at Central Europ. J. Phys