Similarity reduction of the modified Yajima-Oikawa equation
Exactly Solvable and Integrable Systems
2009-11-10 v2
Abstract
We study a similarity reduction of the modified Yajima-Oikawa hierarchy. The hierarchy is associated with a non-standard Heisenberg subalgebra in the affine Lie algebra of type A_2^{(1)}. The system of equations for self-similar solutions is presented as a Hamiltonian system of degree of freedom two, and admits a group of B\"acklund transformations isomorphic to the affine Weyl group of type A_2^{(1)}. We show that the system is equivalent to a two-parameter family of the fifth Painlev\'e equation.
Keywords
Cite
@article{arxiv.nlin/0304024,
title = {Similarity reduction of the modified Yajima-Oikawa equation},
author = {Tetsuya Kikuchi and Takeshi Ikeda and Saburo Kakei},
journal= {arXiv preprint arXiv:nlin/0304024},
year = {2009}
}
Comments
latex2e file, 18 pages, no figures; (v2)Introduction is modified. Some typos are corrected