On integrability of variable coefficient nonlinear Schrodinger equations

Details On integrability of variable coefficient nonlinear Schrodinger equations On integrability of variable coefficient nonlinear Schrodinger equations

2010-04-06

arxiv.org/abs/1004.0852v4

Nonlinear Sciences

Exactly Solvable and Integrable Systems

20 pages

Scientific paper

We apply Painlev\'e 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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