paper

Stability of periodic traveling waves for the quadratic and cubic nonlinear Schrödinger equations

arXiv:1112.4080

Abstract

We study the existence and stability of periodic traveling-wave solutions for the quadratic and cubic nonlinear Schrödinger equations in one space dimension.

arXiv comment31 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:0910.5610 and with arXiv:1012.3065