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

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

Year:    2017

Author:    Zhouzheng Kang

Journal of Partial Differential Equations, Vol. 30 (2017), Iss. 3 : pp. 189–200

Abstract

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v30.n3.1

Journal of Partial Differential Equations, Vol. 30 (2017), Iss. 3 : pp. 189–200

Published online:    2017-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Space-time fractional Benjamin-Bona-Mahoney equation

Author Details

Zhouzheng Kang