New superposed elliptic solutions for a class of nonlinear evolution equations
Exactly Solvable and Integrable Systems
2014-07-22 v4 Mathematical Physics
math.MP
Quantum Physics
Abstract
In the context of the emergence of new classes of superposed solutions such as dn2 (x,m) \pm \sqrt m cn(x,m) dn(x,m) for a variety of nonlinear equations we present some additional new ones for the KdV and QNLS equations and show that they also admit exact solutions of the type nd2 (x,m) \pm \sqrt sd(x,m) nd(x,m). We also determine different types of superposed solutions for a generalized shallow water wave equation.
Cite
@article{arxiv.1403.7994,
title = {New superposed elliptic solutions for a class of nonlinear evolution equations},
author = {Bijan Bagchi and Supratim Das},
journal= {arXiv preprint arXiv:1403.7994},
year = {2014}
}
Comments
This paper has been withdrawn by the author due to some errors