Bright-dark and multi wave novel solitons structures of Kaup-Newell Schrödinger equations and their applications

Abstract

In this paper, the soliton solutions which indicate long wave parallel to the magnetic fields of Kaup-Newell models are argued via described method. Modified extended Simple equation is suggested to explore the novel solitons and other wave structures of two different types of Kaup-Nawell equations, which have never been constructed before. As a consequence, bright-dark solitons, singular solitons, multi-wave solitons, breather type wave of strange structures and other waves solutions of two Kaup-Newell (K-N) Schrödinger equations are achieved in different form. The obtained novel solitons and other exact wave solutions have key applications in engineering and applied physics. Novel wave structures of solitons are explained graphically by providing suitable values to parameters that help for understanding the physical phenomena of these models. The constructed solutions are evaluated with available results in the literature. This technique can be productively utilized to more equations that occur in mathematical physics.