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Group-invariant Solutions of the 2+1-dimensional Cubic Schrödinger Equation

C. Ozemir·F. Gungor
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Abstract

Lie point symmetries of the 2+1-dimensional cubic Schrödinger equation to obtain new analytic solutions in a systematic manner. We present an analysis of the reduced ODEs, and in particular show that although the original equation is not integrable they typically can belong to the class of Painlevé type equations.

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C. Ozemir, F. Gungor. 2006-03-21. Group-invariant Solutions of the 2+1-dimensional Cubic Schrödinger Equation. https://doi.org/10.1088/0305-4470%2F39%2F12%2F008

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