On integrability of a (2+1)-dimensional perturbed Kdv equation
Sakovich, Sergei Yu.
arXiv, 9805012 / Harvested from arXiv
Text on arXiv
A (2+1)-dimensional perturbed KdV equation, recently introduced by W.X. Ma and B. Fuchssteiner, is proven to pass the Painlev\'e test for integrability well, and its 4$\times $4 Lax pair with two spectral parameters is found. The results show that the Painlev\'e classification of coupled KdV equations by A. Karasu should be revised.
Publié le : 1998-05-22
Classification:  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  Mathematical Physics,  Mathematics - Analysis of PDEs 
@article{9805012,
     author = {Sakovich, Sergei Yu.},
     title = {On integrability of a (2+1)-dimensional perturbed Kdv equation},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9805012}
}

Sakovich, Sergei Yu. On integrability of a (2+1)-dimensional perturbed Kdv equation. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9805012/