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

Gülnur Yel, Carlo Cattani, Hacı Mehmet Başkonuş, Wei Gao

2021Journal of Computational and Nonlinear Dynamics35 citationsDOI

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.

Topics & Concepts

Nonlinear systemConstraint (computer-aided design)SolitonTraveling waveNonlinear dynamical systemsApplied mathematicsMathematical analysisMathematicsClassical mechanicsPhysicsGeometryQuantum mechanicsNonlinear Waves and SolitonsNonlinear Photonic SystemsFractional Differential Equations Solutions