Abstract
Under investigation in this paper is the AB system, which is used to describe the propagation of the wave packets in a marginally stable or unstable baroclinic shear flow. Introducing an auxiliary function , we predict irregular solitons and construct the high-order irregular dark solitons for the AB system, which are different from those in the existing literature. Affected by , the dark solitons are classified into three types, i.e., Type-I, Type-II and Type-III solitons. Type-I solitons propagate with unchanged shapes and velocities, Type-II solitons are shape-changing in the evolution, and Type-III solitons propagate with not only the shape variations but the appearances, splits, combinations and disappearances of some pits. We reveal that two Type-I solitons interact with each other elastically when they possess different velocities, and degenerate into the first-order solitons when they possess the same velocity. For the interactions between Type-II–Type-II, Type-II–Type-III, Type-III–Type-III solitons, it is found that changes the interaction behaviors of the two solitons during the propagation.
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