Abundant different types of exact soliton solution to the (4+1)-dimensional Fokas and (2+1)-dimensional breaking soliton equations. (3rd September 2021)

• Record Type: Journal Article
• Authors: Kumar, Sachin; Niwas, Monika; Osman, M S; Abdou, M A
• Is Part Of: Communications in theoretical physics. Volume 73:Number 10(2021)
• Publication Date: 2021-09-03
• Subjects: nonlinear evolution equations -- soliton solutions -- exact solutions -- generalized exponential rational function method -- solitary waves; Physics -- Periodicals; 530.105
• DOI: 10.1088/1572-9494/ac11ee
• Languages: English
• ISSNs: 0253-6102

Abstract

Abstract: The prime objective of this paper is to explore the new exact soliton solutions to the higher-dimensional nonlinear Fokas equation and (2+1)-dimensional breaking soliton equations via a generalized exponential rational function (GERF) method. Many different kinds of exact soliton solution are obtained, all of which are completely novel and have never been reported in the literature before. The dynamical behaviors of some obtained exact soliton solutions are also demonstrated by a choice of appropriate values of the free constants that aid in understanding the nonlinear complex phenomena of such equations. These exact soliton solutions are observed in the shapes of different dynamical structures of localized solitary wave solutions, singular-form solitons, single solitons, double solitons, triple solitons, bell-shaped solitons, combo singular solitons, breather-type solitons, elastic interactions between triple solitons and kink waves, and elastic interactions between diverse solitons and kink waves. Because of the reduction in symbolic computation work and the additional constructed closed-form solutions, it is observed that the suggested technique is effective, robust, and straightforward. Moreover, several other types of higher-dimensional nonlinear evolution equation can be solved using the powerful GERF technique.