A variational method of optimal control problems for nonlinear Schrodinger equations

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Atıf İçin Kopyala

Subasi M.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, cilt.20, sa.1, ss.82-89, 2004 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 20 Sayı: 1
• Basım Tarihi: 2004
• Doi Numarası: 10.1002/num.10081
• Dergi Adı: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.82-89
• Atatürk Üniversitesi Adresli: Evet

Özet

Calculating the control function that is in the coefficients of the nonlinear Schrodinger equation and minimizes the objective functional consisting of two integrals is main aim of this article. After proving the existence and uniqueness of the solution, we have constituted an algorithm using the method of gradient of projection. Results are tested on a quantum-mechanical problem. (C) 2003 Wiley Periodicals, Inc.