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

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

2011-12-17

arxiv.org/abs/1112.4080v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

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

Scientific paper

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

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