Symbolic Computation of Exact Solutions of Two Nonlinear Lattice Equations

DOI

10.2991/icmmita-15.2015.129How to use a DOI?

Keywords

Nonlinear lattice equation; Discrete G’/G-expansion method; Exact solution

Abstract

In this paper, a modified discrete G’/G-expansion method is used to construct exact solutions of Toda lattice equation and Ablowitz-Ladik lattice equations. With the aid of computer symbolic computation, we obtained in a uniform way hyperbolic function solutions, trigonometric function solutions and rational solutions of these two nonlinear lattice equations. When the parameters are taken as special values, some known solutions are recovered. It is shown that the modified method with symbolic computation provides a more effective mathematical tool for solving nonlinear lattice equations in science and enginnering.

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  - Yingying Zhou
PY  - 2015/11
DA  - 2015/11
TI  - Symbolic Computation of Exact Solutions of Two Nonlinear Lattice Equations
BT  - Proceedings of the 2015 3rd International Conference on Machinery, Materials and Information Technology Applications
PB  - Atlantis Press
SP  - 668
EP  - 673
SN  - 2352-538X
UR  - https://doi.org/10.2991/icmmita-15.2015.129
DO  - 10.2991/icmmita-15.2015.129
ID  - Zhang2015/11
ER  -