Constructing Infinite Sequence Solutions for Space- Time Fractional Benjamin-Bona-Mahoney Equation  

作　　者：KANG Zhouzheng 

机构地区：[1]College of Mathematics, Inner Mongolia University for Nationalities, Tongliao 028043,China

出　　处：《Journal of Partial Differential Equations》2017年第3期189-200,共12页偏微分方程（英文版）

摘　　要：In this article, the space-time fractional Benjamin-Bona-Mahoney equation is investigated via applying the first kind of elliptic equation method. As a result, based on the Backlund transformations and some seed solutions of the first kind of elliptic equation, families of infinite sequence solutions are presented. This approach is also applicable to many other nonlinear fractional differential equations.

关 键 词：Space-time fractional Benjamin-Bona-Mahoney EQUATION BACKLUND transformations INFINITE SEQUENCE solutions. 

分 类 号：O175.29[理学—数学]