Research PapersNo Access

ON INTEGRABILITY OF VARIABLE COEFFICIENT NONLINEAR SCHRÖDINGER EQUATIONS

Department of Mathematics, Istanbul Technical University, Istanbul, 34469, Turkey

ITU Ayazağa Campus, Faculty of Science and Letters, Department of Mathematics, 34469 Maslak-Sarıyer, Istanbul, Turkey. Tel.: 90-212-2856821, Fax: 90-212-2856386.

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and

FARUK GÜNGÖR

Department of Mathematics, Doğuş University, Istanbul, 34722, Turkey

Doğuş University, Faculty of Science and Letters, Department of Mathematics, 34722 Acıbadem, Istanbul, Turkey.

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https://doi.org/10.1142/S0129055X12500158Cited by:9 (Source: Crossref)

Abstract

We apply Painlevé test to the most general variable coefficient nonlinear Schrödinger (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 presented some exact solutions based on point transformations relating analytic solutions of VCNLS equations for specific choices of the coefficients to those of the standard integrable NLS equation.

Keywords:

AMSC: 35Q55, 37K10, 35Q94

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