TITLE

A Table Lookup Method for Exact Analytical Solutions of Nonlinear Fractional Partial Differential Equations

AUTHOR(S)
Juan-Juan, Ji; Ye-Cai, Guo; Lan-Fang, Zhang; Chao-Long, Zhang
PUB. DATE
January 2017
SOURCE
Mathematical Problems in Engineering;1/3/2017, p1
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
A table lookup method for solving nonlinear fractional partial differential equations (fPDEs) is proposed in this paper. Looking up the corresponding tables, we can quickly obtain the exact analytical solutions of fPDEs by using this method. To illustrate the validity of the method, we apply it to construct the exact analytical solutions of four nonlinear fPDEs, namely, the time fractional simplified MCH equation, the space-time fractional combined KdV-mKdV equation, the (2+1)-dimensional time fractional Zoomeron equation, and the space-time fractional ZKBBM equation. As a result, many new types of exact analytical solutions are obtained including triangular periodic solution, hyperbolic function solution, singular solution, multiple solitary wave solution, and Jacobi elliptic function solution.
ACCESSION #
120536964

 

Related Articles

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics