A (2+1)-dimensional extension of the Benjamin-Ono equation Multiple soliton solutions and multiple complex soliton solutions

摘要

Purpose - The purpose of this paper is concerned with developing a (2+1)-dimensional Benjamin-Ono equation. The study shows that multiple soliton solutions exist and multiple complex soliton solutions exist for this equation. Design/methodology/approach - The proposed model has been handled by using the Hirota's method. Other techniques were used to obtain traveling wave solutions. Findings - The examined extension of the Benjamin-Ono model features interesting results in propagation of waves and fluid flow. Research limitations/implications - The paper presents a new efficient algorithm for constructing extended models which give a variety of multiple soliton solutions. Practical implications - This work is entirely new and provides new findings, where although the new model gives multiple soliton solutions, it is nonintegrable. Originality/value - The work develops two complete sets of multiple soliton solutions, the first set is real solitons, whereas the second set is complex solitons.