Abstract
The Benjamin–Ono equation is a useful model to describe the long internal gravity waves in deep stratified fluids. In this paper, the nonlocal Alice–Bob Benjamin–Ono system is induced via the parity and time-reversal symmetry reduction. By introducing an extended Bäcklund transformation, the symmetry-breaking soliton, breather, and lump solutions for this system are obtained through the derived Hirota bilinear form. By taking suitable constants in the involved ansatz functions, abundant fascinating symmetry-breaking structures of the related explicit solutions are shown.
Highlights
In the recent years, studying the local excitations in the nonlinear evolution equations (NEEs) has become great significance since the complex nonlinear phenomena related to the NEEs involve in fluid dynamics, plasma physics, superconducting physics, condensed matter physics, and optical problems [1,2,3,4,5,6]
It is believed that the two-place correlated physical events widely exist in the field of natural science, and discussing AB physics has a profound influence on other scientific fields
We studied the nonlocal BO equation coupled with an AB system
Summary
In the recent years, studying the local excitations in the nonlinear evolution equations (NEEs) has become great significance since the complex nonlinear phenomena related to the NEEs involve in fluid dynamics, plasma physics, superconducting physics, condensed matter physics, and optical problems [1,2,3,4,5,6]. Using the Backlund transformation, some types of PT symmetry-breaking solutions including soliton and rogue wave solutions were explicitly obtained. We turn our attention to the Hirota bilinear form (12) of AB-BO systems (7a) and (7b) to derive the symmetry-breaking soliton, symmetry-breaking breather, and symmetry-breaking lump solutions. Based on the bilinear form (12), we can first determine the symmetry-breaking soliton and breather solutions through the Backlund transformation (10) of ABBO systems (7a) and (7b) with the function F be written as a summation of some special functions [20, 21, 23]: F. In earlier works [33], by some constraints to the parameters on the two solitons, a family of analytical breather solutions can be obtained. E three-soliton solution is obtained by substituting equations (26) and (27a) and (27b) into equation (10): 6c
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
