Investigation on breather waves and rogue waves in applied mechanics and physics

Abstract Nonlinear evolution equation is a research hot spot in the field of science and engineering. Recently, searching for breather and rogue wave solutions to nonlinear evolution equations has become a popular topic in nonlinear mathematical physics. In this paper, with the help of symbolic calculation, breather and rogue wave solutions to the two generalized (3+1)-dimensional Jimbo-Miwa equation are investigated, respectively. Those analytic solutions are presented, and the influences of the corresponding parameters on breathers and rogue waves are analyzed. Their dynamic properties are discussed based on graphical presentation. Amplitude of breathers and rogue waves are adjusted. Results of this study are helpful to the generation of breather and rogue waves in applied mechanics and physics.