Analytical Solution of the Space-Time Fractional Nonlinear Schrödinger Equation

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• 作者：Emad A-B. Abdel-Salam^a ; ^d ; ^{emad_abdelsalam@yahoo.com" class="auth_mail" title="E-mail the corresponding author} ; Eltayeb A. Yousif^b ; ^d ; Mostafa A. El-Aasser^c ; ^e
• 关键词：fractional Riccati expansion method ; nonlinear fractional differential equation ; modified Riemann&ndash ; Liouville derivatives ; space-time fractional nonlinear Schr&ouml ; dinger equation
• 刊名：Reports on Mathematical Physics
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：77
• 期：1
• 页码：19-34
• 全文大小：1604 K

文摘

The space-time fractional nonlinear Schrödinger equation is solved by mean of on the fractional Riccati expansion method. These solutions include generalized trigonometric and hyperbolic functions which could be useful for further understanding of mechanisms of the complicated nonlinear physical phenomena and fractional differential equations. Among these solutions, some are found for the first time.