TY - JOUR
T1 - Constructing Infinite Sequence Solutions for Space-Time Fractional Benjamin-Bona-Mahoney Equation
AU - Kang , Zhouzheng
JO - Journal of Partial Differential Equations
VL - 3
SP - 189
EP - 200
PY - 2017
DA - 2017/08
SN - 30
DO - http://doi.org/10.4208/jpde.v30.n3.1
UR - https://global-sci.org/intro/article_detail/jpde/10464.html
KW - Space-time fractional Benjamin-Bona-Mahoney equation
KW - Bäcklund transformations
KW - infinite sequence solutions
AB -  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 Bäcklund 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.