New Lax pair for restricted multiple three wave interaction system, quasiperiodic solutions and bi-hamiltonian structure
Exactly Solvable and Integrable Systems
2010-06-22 v2
Abstract
We study restricted multiple three wave interaction system by the inverse scattering method. We develop the algebraic approach in terms of classical -matrix and give an interpretation of the Poisson brackets as linear -matrix algebra. The solutions are expressed in terms of polynomials of theta functions. In particular case for in terms of Weierstrass functions.
Cite
@article{arxiv.0705.4363,
title = {New Lax pair for restricted multiple three wave interaction system, quasiperiodic solutions and bi-hamiltonian structure},
author = {N. A. Kostov and A. V. Tsiganov},
journal= {arXiv preprint arXiv:0705.4363},
year = {2010}
}