Abstract
A generalized form of (2+1)-dimensional Hirota bilinear (2D-HB) equation is considered herein in order to study nonlinear waves in fluids and oceans. The present goal is carried out through adopting the simplified Hirota’s method as well as ansatz approaches to retrieve a bunch of rational wave structures from multiple soliton solutions to breather, rational, and complexiton solutions. Some figures corresponding to a series of rational wave structures are provided, illustrating the dynamics of the obtained solutions. The results of the present paper help to reveal the existence of rational wave structures of different types for the 2D-HB equation.
Highlights
One of the attractive subjects in the areas of mathematical physics is to look for rational wave solutions of differential equations
In order to advance the studies on the generalized 2D-HB equation (1.1); in this paper, the simplified Hirota’s method as well as different ansatz approaches are utilized formally to retrieve a bunch of rational wave structures from multiple soliton solutions to breather, rational, and complexiton solutions
The plots of single, double, and triple soliton solutions have been provided in Figures 1–3, illustrating the dynamics of the multiple solutions
Summary
One of the attractive subjects in the areas of mathematical physics is to look for rational wave solutions of differential equations. Keywords and phrases: (2+1)-dimensional Hirota bilinear equation, generalized form, simplified Hirota’s method, ansatz approaches, multiple soliton, breather, rational, and complexiton solutions. 5 College of Computer, Jiangxi University of Traditional Chinese Medicine, Jiangxi 330004, PR China In order to advance the studies on the generalized 2D-HB equation (1.1); in this paper, the simplified Hirota’s method as well as different ansatz approaches are utilized formally to retrieve a bunch of rational wave structures from multiple soliton solutions to breather, rational, and complexiton solutions
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
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 callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
