A table lookup method for exact analytical solutions of nonlinear fractional partial differential equations
type: Item
instance of: scholarly article
title: A table lookup method for exact analytical solutions of nonlinear fractional partial differential equations
zbMATH Open document ID: 1426.35224
DOI: 10.1155/2017/6328438
author: Juan-Juan Ji
author: Ye-Cai Guo
author: Lan-Fang Zhang
author: Chaolong Zhang
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 6972318
Wikidata QID: Q59147674
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/6328438
OpenAlex ID: W2564317497
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description: scientific article; zbMATH DE number 6972318