On Lump, Periodic and Travelling Wave Structures to the Generalized Breaking Soliton Model

In this article, the generalized breaking soliton equation is considered which demonstrates the intersections of the surface wave dispersion curve and the complex-zone border in a weakly magnetic plasma. Firstly, the Hirota bilinear method is employed to determine the bilinear form of given model. Consequently, the lump wave solutions, collision of lump with periodic waves, collision of lump wave with single and double-kink soliton solutions, periodic wave structures with single and double-kink soliton solutions are developed. Additionally, we employ the polynomial-expansion method to construct a variety of exact travelling wave solutions. The 3D, contour and 2D graphs are visualized to understand the physical behaviour of the considered model. The considered strategies seem to be more fascinating approaches to develop some new travelling wave structures for various modern nonlinear models from the recent decades.