Exp-Function Method with Computer Symbolic Computation for Exact Solutions of A Nonlinear Differential Equation

DOI

10.2991/iiicec-15.2015.119How to use a DOI?

Keywords

Exact solution; Nonlinear differential equation; Exp-function method

Abstract

In this paper, the exp-function method is generalized to solve a first-order nonlinear differential equation with forth-degree nonlinear term. As a result, three new exact solutions with free parameters are obtained, the first two of which include generalized hyperbolic function solutions and generalized trigonometric solutions as special cases and the third one is a rational solution. It is shown that the generalized exp-function method with the help of computer symbolic computation provides a straightforward and effective mathematical tool for solving nonlinear differential equations.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Sheng Zhang
AU  - Dong-Dong Liu
PY  - 2015/03
DA  - 2015/03
TI  - Exp-Function Method with Computer Symbolic Computation for Exact Solutions of A Nonlinear Differential Equation
BT  - Proceedings of the 2015 International Industrial Informatics and Computer Engineering Conference
PB  - Atlantis Press
SP  - 522
EP  - 525
SN  - 2352-538X
UR  - https://doi.org/10.2991/iiicec-15.2015.119
DO  - 10.2991/iiicec-15.2015.119
ID  - Zhang2015/03
ER  -