Solution for a non linear Schrödinger equation via Hopf-Cole transformation

Published 1 Sep 2010 in math.CA, math-ph, and math.MP | (1009.0187v2)

Abstract: In this short letter we show that the one dimensional non linear Schr\"odinger equation(NLS)can be solved by a Hopf-Cole transformation which converts it to the Burgers equation in turbulence.

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