2014/05/22 by Partha Guha, Guha, Partha, P. G. L. Leach +1
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Nonlinear Photonic Systems #Algebraic structures and combinatorial models
paper · pdf · doi:10.48550/arxiv.1405.5797
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.