![](/images/graphics-bg.png)
A Table Lookup Method for Exact Analytical Solutions of Nonlinear Fractional Partial Differential Equations
Joint Authors
Ji, Juanjuan
Guo, Yecai
Zhang, Lanfang
Chao-Long, Zhang
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-01-03
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Ji, Juanjuan& Guo, Yecai& Zhang, Lanfang& Chao-Long, Zhang. 2017. A Table Lookup Method for Exact Analytical Solutions of Nonlinear Fractional Partial Differential Equations. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1191335
Modern Language Association (MLA)
Ji, Juanjuan…[et al.]. A Table Lookup Method for Exact Analytical Solutions of Nonlinear Fractional Partial Differential Equations. Mathematical Problems in Engineering No. 2017 (2017), pp.1-14.
https://search.emarefa.net/detail/BIM-1191335
American Medical Association (AMA)
Ji, Juanjuan& Guo, Yecai& Zhang, Lanfang& Chao-Long, Zhang. A Table Lookup Method for Exact Analytical Solutions of Nonlinear Fractional Partial Differential Equations. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1191335
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1191335