A study of two new generalized negative KdV type equations
Mathematical Physics
2014-05-23 v1 math.MP
Abstract
We give a simple geometric interpretation of the mapping of the negative KdV equation as proposed by Qiao and Li {arXiv:1101.1605 [math-ph], Europhys. Lett.,94 (2011) 50003} and the Fuchssteiner equation using geometry of projective connection on S1 or stabilizer set of the Virasoro orbit. We propose a similar connection between with the higher-order negative KdV equations of Fuchssteiner type described as and respectively. We study the Painleve and symmetry analyses of these newly found equations and show that they yield soliton solutions.
Keywords
Cite
@article{arxiv.1405.5797,
title = {A study of two new generalized negative KdV type equations},
author = {Partha Guha and P G L Leach},
journal= {arXiv preprint arXiv:1405.5797},
year = {2014}
}
Comments
14 pages. Constructive suggestions and criticism are most welcome