Dispersive solitary wave solutions of new coupled Konno-Oono, Higgs field and Maccari equations and their applications

• Main Authors: Mostafa M.A. Khater, Aly R. Seadawy, Dianchen Lu
• Format: Article
• Language: English
• Published: Elsevier 2018-07-01
• Series: Journal of King Saud University: Science
• Online Access: http://www.sciencedirect.com/science/article/pii/S1018364717310923

In this research we apply generalized Exp-Function method to obtain exact, solitary and new soliton wave solutions of new coupled Konno-Oono equation, Higgs field equation and Maccari equation via generalized Exp-Function method which are very substantial models in define a current-fed string interacting with an external magnetic field in three-dimensional Euclidean space, introduces quantum field (or the Higgs field) to illustrate the generation mechanism of mass for gauge bosons and described the motion of the isolated waves, localized in a small part of space, in many fields such as hydrodynamic, plasma physics, nonlinear optics and others. generalized Exp-Function method is very sturdy, fabulous, felicitous and effective method to get exact, solitary and new soliton wave solution of nonlinear partial differential equations (PDEs.). We present a contrasting between the results of this modern method and another method and show that how the results that obtained by this method is much closed to cover many different methods in this field and not just that but also get a new solitary and soliton wave solutions which give a wide range of solutions that help all researchers who apply these models in our life. Keywords: New coupled Konno-Oono equation, Higgs field equation, Maccari equation, Generalized Exp-Function method, Traveling wave solutions, Solitary wave solutions