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arXiv · 1405.5797

A study of two new generalized negative KdV type equations

Partha Guha·P G L Leach
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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.

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Partha Guha, P G L Leach. 2014-05-22. A study of two new generalized negative KdV type equations. https://arxiv.org/abs/1405.5797

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