The Solutions of Nonlinear Heat Conduction Equation via Fibonacci&Lucas Approximation Method
Analysis of PDEs
2015-11-06 v1 Mathematical Physics
math.MP
Pattern Formation and Solitons
Exactly Solvable and Integrable Systems
Abstract
To obtain new types of exact travelling wave solutions to nonlinear partial differential equations, a number of approximate methods are known in the literature. In this study, we extend the class of auxiliary equations of Fibonnacci&Lucas type equations. The proposed Fibonnacci&Lucas approximation method produces many new solutions. Consequently, we introduce new exact travelling wave solutions of some physical systems in terms of these new solutions of the Fibonacci&Lucas type equation. In addition to using different ansatz, we use determine different balancing principle to obtain optimal solutions.
Keywords
Cite
@article{arxiv.1511.01787,
title = {The Solutions of Nonlinear Heat Conduction Equation via Fibonacci&Lucas Approximation Method},
author = {Zehra Pinar and Turgut Ozis},
journal= {arXiv preprint arXiv:1511.01787},
year = {2015}
}
Comments
15 pages