The Klein–Gordon–Zakharov equations with the positive fractional power terms and their exact solutions

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• 作者：JINLIANG ZHANG ; WUQIANG HU ; YU MA
• 关键词：Klein–Gordon–Zakharov equation with the positive fractional power terms ; sub ; ordinary differential equations method ; exact solution ; constraint condition.
• 刊名：Pramana
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：87
• 期：6
• 全文大小：185 KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Astronomy
  Astrophysics
  
• 出版者：Springer India
• ISSN：0973-7111
• 卷排序：87

文摘

In this paper, the famous Klein–Gordon–Zakharov (KGZ) equations are first generalized, and the new special types of KGZ equations with the positive fractional power terms (gKGZE) are presented. In order to derive exact solutions of the new special gKGZE, subsidiary higher-order ordinary differential equations (sub-ODEs) with the positive fractional power terms are introduced, and with the aid of the sub-ODE, exact solutions of four special types of the gKGZE are derived, which are the bell-type solitary wave solution, the algebraic solitary wave solution, the kink-type solitary wave solution and the sinusoidal travelling wave solution, provided that the coefficients of gKGZE satisfy certain constraint conditions.