STABILITY OF PERIODIC TRAVELING WAVES FOR THE QUADRATIC AND CUBIC NONLINEAR SCHRÖDINGER EQUATIONS

Sevdzhan Hakkaev,Iliya D. Iliev,Kiril Kirchev

STABILITY OF PERIODIC TRAVELING WAVES FOR THE QUADRATIC AND CUBIC NONLINEAR SCHRÖDINGER EQUATIONS

2013

Sevdzhan Hakkaev
Iliya D. Iliev
Kiril Kirchev

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

Keywords:

Mathematics
Mathematical analysis
Quadratic equation
Split-step method
Periodic graph (geometry)
Nonlinear Schrödinger equation
Schrödinger equation
Nonlinear system
traveling wave
space dimension

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