Nonlinear Discrete Systems with Nonanalytic Dispersion Relations
solv-int
2009-10-30 v1 可精确求解与可积系统
摘要
A discrete system of coupled waves (with nonanalytic dispersion relation) is derived in the context of the spectral transform theory for the Ablowitz Ladik spectral problem (discrete version of the Zakharov-Shabat system). This 3-wave evolution problem is a discrete version of the stimulated Raman scattering equations, and it is shown to be solvable for arbitrary boundary value of the two radiation fields and initial value of the medium state. The spectral transform is constructed on the basis of the D-bar approach.
引用
@article{arxiv.solv-int/9601005,
title = {Nonlinear Discrete Systems with Nonanalytic Dispersion Relations},
author = {M. Boiti and J. Leon and F. Pempinelli},
journal= {arXiv preprint arXiv:solv-int/9601005},
year = {2009}
}
备注
RevTex file, to appear in Journ. Math. Phys