Using a newly developed methodology known as an extended modified auxiliary equation mapping method and 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, and kink and anti kink type soliton like solutions. 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, 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. We utilised Mathematica 10.4 to express the physical description of our newly discovered solutions graphically in order to better illustrate the behaviour of different shapes of solutions. The computing work and efficiency of the method illustrate its reliability, straightforwardness, and simplicity for solving various nonlinear complex partial differential equations.
Author(S) Details
Nadia Cheemaa
Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P. R. China.
Aly R. SeadawyDepartment of Mathematics, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia and Department of Mathematics, Faculty of Science, Beni-Suef University, Egypt.
Hadi Rezazadeh
Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran.
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