Mixed soliton solutions for the (2+1)-dimensional generalized breaking soliton system via new analytical mathematical method

In this research, we study the dispersive phenomena for the (2+1)-dimensional generalized breaking soliton system (GBSS), which describe the interaction phenomena between Riemann wave and long wave via two space variable in nonlinear media. The constructed solitary wave results for the (2+1)-dimensional GBSS via extended modified rational expansion (EMRE) method in the form of rational, elliptic, and trigonometric functions including mixed solitons, single bright and dark solitions, combined bright and dark solitons, kink and anti-kink wave solitions, traveling waves, and periodic waves. The physical phenomena of demonstrated results represented by higher dimensional and contour plots graphically with the help of symbolic computation. The obtained results are very helpful in the study of interaction phenomena in fiber optics, mathematical physics, fluid dynamics, geophysics, engineering and many other various areas of scientific fields.

Automated summary

In this research, the dispersive phenomena in the (2+1)-dimensional generalized breaking soliton system (GBSS) were studied. The obtained solitary wave solutions, including mixed solitons, bright and dark solitons, kink and anti-kink wave solitons, traveling waves, and periodic waves, were helpful for understanding the interaction phenomena in various scientific fields such as fiber optics, mathematical physics, fluid dynamics, geophysics, and engineering.