On the Complex Simulations With Dark–Bright to the Hirota–Maccari System

Author:

Yel Gulnur1,Cattani Carlo2,Baskonus Haci Mehmet3,Gao Wei4

Affiliation:

1. Faculty of Educational Sciences, Final International University, Kyrenia, Mersin 10, Turkey

2. Engineering School, Deim, Tuscia University, Largo dell'Università, Viterbo 01100, Italy

3. Department of Mathematics and Science Education, Faculty of Education, Harran University, Sanliurfa 63100, Turkey

4. School of Information Science and Technology, Yunnan Normal University, Kunming 650500, China

Abstract

Abstract This paper investigates the coupled nonlinear Hirota–Maccari system with the help of using an analytical approach, which is the extended sinh-Gordon equation expansion method (ShGEEM). Complex, solitary, and singular periodic traveling solutions are successfully gained to the nonlinear model considered. The constraint conditions that validate the existence of the reported soliton solutions are also given in a detailed manner. The two-dimensional (2D), three-dimensional, and contour graphs to some of the obtained solutions are presented via several computational programs. These simulations present deeper investigations about the wave distributions of the coupled nonlinear Hirota–Maccari system.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

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