Stability of periodic traveling waves for the quadratic and cubic nonlinear Schr\"odinger equations

Iliya D. Iliev; Kiril Kirchev; Sevdzhan Hakkaev

arxiv: 1112.4080 · v1 · pith:WOA5O3UPnew · submitted 2011-12-17 · 🌊 nlin.SI · math.AP

Stability of periodic traveling waves for the quadratic and cubic nonlinear Schr\"odinger equations

Sevdzhan Hakkaev , Iliya D. Iliev , Kiril Kirchev This is my paper

classification 🌊 nlin.SI math.AP

keywords cubicequationsnonlinearodingerperiodicquadraticschrstability

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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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Stability of periodic traveling waves for the quadratic and cubic nonlinear Schr\"odinger equations

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