Lump-type solutions, rogue wave type solutions and periodic lump-stripe interaction phenomena to a (3 + 1)-dimensional generalized breaking soliton equation

Abstract

In this paper, we present a bilinear form for an extended (2+1)-dimensional generalized breaking soliton equation, namely, a (3+1)-dimensional generalized breaking soliton (GBS) equation, through using the Hirota direct method. Abundant lump-type solutions, rogue wave type solutions, breather lump wave solutions and interaction solutions are constructed, based on the Hirota bilinear form. Particularly, we generate a type of new interaction solutions in terms of a new combination of quadratic function, trigonometric function and exponential function, namely, a kind of periodic lump-stripe solitons, which is a sort of mixed type solutions of periodic lump-type solitons and stripe solitons. We show that the periodic lump-type solitons will be swallowed by the stripe solitons after they collide. Finally, dynamics characteristics and evolution behaviors are exhibited for the obtained solution waves through particular plots with proper choices of different values for the parameters.