Travelling wave solutions: A new approach to the analysis of nonlinear physical phenomena

• Authors: Khosro Sayevand , Dumitru Baleanu , Mojtaba Fardi
• Languages of publication: EN

Abstracts

EN

In this manuscript, a reliable scheme based on a general functional transformation is applied to construct the exact travelling wave solution for nonlinear differential equations. Our methodology is investigated by means of the modified homotopy analysis method which contains two convergence-control parameters. The obtained results reveal that the proposed approach is a very effective. Several illustrative examples are investigated in detail.

Keywords

EN

biparametric; homotopy; series solution; convergence; nonlinear differential equation

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2014
• Volume: 12
• Issue: 7
• Pages: 480-489

Dates

published

1 - 7 - 2014

online

21 - 6 - 2014

Contributors

author

Khosro Sayevand

• Department of Mathematics, Faculty of Basic Sciences, University of Malayer, Malayer, Iran

author

Dumitru Baleanu

author

Mojtaba Fardi

• Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran

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Identifiers

DOI

10.2478/s11534-014-0475-6