A study of two new generalized negative KdV type equations
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.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2014
- DOI:
- 10.48550/arXiv.1405.5797
- arXiv:
- arXiv:1405.5797
- Bibcode:
- 2014arXiv1405.5797G
- Keywords:
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- Mathematical Physics;
- 35Q53;
- 14G32
- E-Print:
- 14 pages. Constructive suggestions and criticism are most welcome