Extractions of travelling wave solutions of (2 + 1)-dimensional Boiti–Leon–Pempinelli system via (Gʹ/G, 1/G)-expansion method

• Published in: Optical and quantum electronics 2021-06, Vol.53 (6), Article 299
• Main Author: Duran, Serbay
• Format: Article
• Language: English
• Subjects: Characterization and Evaluation of Materials; Computational fluid dynamics; Computer Communication Networks; Electrical Engineering; Exact solutions; Fluid flow; Hydrodynamics; Lasers; Optical Devices; Optics; Parameters; Photonics; Physics; Physics and Astronomy; Solitary waves; Traveling waves; Water waves
• ISSN: 0306-8919; 1572-817X
• DOI: 10.1007/s11082-021-02940-w

In this study, analytical solutions are presented for the (2 + 1)-dimensional Boiti–Leon–Pempinelli (BLP) system, which has an important physical property in hydrodynamics. The solutions of the BLP system used to describe the evolution of water waves are examined with the help of the ( G ʹ/ G , 1/ G )-expansion method. These traveling wave solutions are classified as hyperbolic, trigonometric and rational. The graphics of solitary wave solutions obtained with the help of special values given to the parameters in these traveling wave solutions are presented as 3D, 2D and contour with the help of a computer program. In the results and discussion section, the advantages and disadvantages of the method for the BLP system compared to other analytical methods are discussed. Also, the behavior of the wave is examined with the help of simulations, taking into account the velocity parameter for solitary wave solutions.