Bright-Dark Solitary Wave Solutions of Coupled Integrable (2+1)-Dimensional Maccari System in Applied Physics

Abstract

The analytical analysis of a linked integrable (2+1)-dimensional Maccari System was provided in this work using a newly developed methodology known as an extended modified auxiliary equation mapping method with the help of three parameters, we were able to find a variety of new families of exact travelling wave solutions, including triangular-type solutions, periodic and doubly periodic like solutions, combined soliton like solutions, kink and anti kink type soliton like solutions. The Maccari System is a well-known model for dening the dynamics of isolated waves that are localised in a very small part of space in various fields of physics such as quantum mechanics, hydrodynamics, plasma physics, and quantum field theory for studying the dynamics of Langmuir solitons that appear in nonlinear optics. To further describe the behaviour of different shapes of solutions, we used Mathematica 10.4 to express the physical description of our newly found solutions graphically. The method's reliability, straightforwardness, and simplicity for solving various nonlinear difficult partial differential equations is further demonstrated by the method's computing work and efficiency.