Topological and non-topological soliton solutions to some time-fractional differential equations

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• 作者：M MIRZAZADEH
• 关键词：He’s semi ; inverse method ; ansatz method ; nonlinear fractional Klein–Gordon equation ; generalized Hirota–Satsuma coupled KdV system ; 02.30.Jr ; 05.45.Yv
• 刊名：Pramana
• 出版年：2015
• 出版时间：July 2015
• 年：2015
• 卷：85
• 期：1
• 页码：17-29
• 全文大小：180 KB
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• 作者单位：M MIRZAZADEH (1)
  
  1. Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, P.C. 44891-63157, Rudsar-Vajargah, Iran
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Astronomy
  Astrophysics
  
• 出版者：Springer India
• ISSN：0973-7111

文摘

This paper investigates, for the first time, the applicability and effectiveness of He’s semi-inverse variational principle method and the ansatz method on systems of nonlinear fractional partial differential equations. He’s semi-inverse variational principle method and the ansatz method are used to construct exact solutions of nonlinear fractional Klein–Gordon equation and generalized Hirota–Satsuma coupled KdV system. These equations have been widely applied in many branches of nonlinear sciences such as nonlinear optics, plasma physics, superconductivity and quantum mechanics. So, finding exact solutions of such equations are very helpful in the theoretical and numerical studies.