On integrability of variable coefficient nonlinear Schrodinger equations

التفاصيل البيبلوغرافية
العنوان: On integrability of variable coefficient nonlinear Schrodinger equations
المؤلفون: Ozemir, Cihangir, Gungor, Faruk
سنة النشر: 2010
المجموعة: Nonlinear Sciences
مصطلحات موضوعية: Nonlinear Sciences - Exactly Solvable and Integrable Systems
الوصف: 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.
Comment: 20 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1004.0852
رقم الأكسشن: edsarx.1004.0852
قاعدة البيانات: arXiv