We reduce the vectorial binary Darboux transformation for the Manin-Radul
supersymmetric KdV system in such a way that it preserves the
Manin-Radul-Mathieu supersymmetric KdV equation reduction. Expressions in terms
of bosonic Pfaffians are provided for transformed solutions and wave functions.
We also consider the implications of these results for the supersymmetric
sine-Gordon equation.
Publié le : 1998-06-11
Classification:
Nonlinear Sciences - Exactly Solvable and Integrable Systems,
High Energy Physics - Theory,
Mathematical Physics
@article{9806005,
author = {Liu, Q. P. and Manas, Manuel},
title = {Pfaffian Solutions for the Manin-Radul-Mathieu SUSY KdV and SUSY
sine-Gordon Equations},
journal = {arXiv},
volume = {1998},
number = {0},
year = {1998},
language = {en},
url = {http://dml.mathdoc.fr/item/9806005}
}
Liu, Q. P.; Manas, Manuel. Pfaffian Solutions for the Manin-Radul-Mathieu SUSY KdV and SUSY
sine-Gordon Equations. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9806005/