A new (3+1)-dimensional generalized Kadomtsev–Petviashvili equation

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• 作者：Abdul-Majid Wazwaz ; S. A. El-Tantawy
• 关键词：Generalized KP equation ; simplified Hirota’s method ; Painlevé test
• 刊名：Nonlinear Dynamics
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：84
• 期：2
• 页码：1107-1112
• 全文大小：378 KB
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• 作者单位：Abdul-Majid Wazwaz (1)
  S. A. El-Tantawy (2)
  
  1. Department of Mathematics, Saint Xavier University, Chicago, IL, 60655, USA
  2. Department of Physics, Faculty of Science, Port Said University, Port Said, 42521, Egypt
  
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X

文摘

We introduce a new (3+1)-dimensional generalized Kadomtsev–Petviashvili equation. We use the simplified Hirota’s direct method to derive multiple-soliton solutions for the new model with the coefficients of the spatial variables which are left free. We show that the phase shifts depend on all these coefficients. We prove that the new model fails the Painlevé integrability test although it gives multiple-soliton solutions. Moreover, for \(x=y=z\), this new model reduces to the potential KdV equation, which we will examine as well.