On integrability of variable coefficient nonlinear Schrodinger equations

2010/04/06 by Cihangir Ozemir, Ozemir, Cihangir, Faruk Gungor +1
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI

paper · pdf · doi:10.48550/arxiv.1004.0852

20 pages

arxiv created 2011/03/24 · arxiv updated 2015/03/13

Abstract

We apply Painlevé test to the most general variable coefficient nonlinear Schrodinger (VCNLS) equations as an attempt to identify integrable classes and compare our results versus those obtained by the use of other tools like group-theoretical approach and the Lax pairs technique of the soliton theory. We present explicit transformation formulae that can be used to generate new analytic solutions of VCNLS equations from those of the integrable NLS equation.

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