Shock Waves and Other Solutions to the Benjamin-Bona-Mahoney-Burgers Equation with Dual Power-Law Nonlinearity

• Authors: G. Wang , T. Xu , R. Abazari , Z. Jovanoski , A. Biswas
• Languages of publication: EN

Abstracts

EN

We study the hybrid Benjamin-Bona-Mahoney-Burgers equation with dual power-law nonlinearity. Three different techniques - the ansatz method, Lie-symmetry analysis and the (G'/G)-expansion method - are used to find shock wave solutions. Several constraint conditions naturally emerge that guarantee the existence of shock waves. We discuss the nature of the solutions generated by the different methods.

Keywords

EN

02.30.Ik; 02.30.Jr; 02.20.Qs

Discipline

• 02.30.Ik: Integrable systems
• 02.30.Jr: Partial differential equations
• 02.20.Qs: General properties, structure, and representation of Lie groups

• Journal: Acta Physica Polonica A
• Year: 2014
• Volume: 126
• Issue: 6
• Pages: 1221-1225

Dates

published

2014-12

received

2014-04-22

Contributors

author

G. Wang

• School of Mathematics and Statistics, Beijing Institute of Technology, Beijing-100081, People's Republic of China

author

T. Xu

• School of Mathematics and Statistics, Beijing Institute of Technology, Beijing-100081, People's Republic of China

author

R. Abazari

• Young Researchers and Elite Club, Ardabil Branch, Islamic Azad University, Ardabil, Iran

author

Z. Jovanoski

• Applied and Industrial Mathematics Research Group, School of Physical, Environmental and Mathematical Sciences, UNSW Canberra, ACT 2600, Australia

author

A. Biswas

• Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA
• Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah-21589, Saudi Arabia

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Identifiers

DOI

10.12693/APhysPolA.126.1221