A three-by-three matrix spectral problem for AKNS hierarchy and its binary Nonlinearization
solv-int
2015-06-26 v1 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Abstract
A three-by-three matrix spectral problem for AKNS soliton hierarchy is proposed and the corresponding Bargmann symmetry constraint involved in Lax pairs and adjoint Lax pairs is discussed. The resulting nonlinearized Lax systems possess classical Hamiltonian structures, in which the nonlinearized spatial system is intimately related to stationary AKNS flows. These nonlinearized Lax systems also lead to a sort of involutive solutions to each AKNS soliton equation.
Cite
@article{arxiv.solv-int/9510012,
title = {A three-by-three matrix spectral problem for AKNS hierarchy and its binary Nonlinearization},
author = {Wen-Xiu Ma and Benno Fuchssteiner and Walter Oevel},
journal= {arXiv preprint arXiv:solv-int/9510012},
year = {2015}
}
Comments
21pages, in Latex