Vector acoustic solitons from the coupling of long and short waves in a paramagnetic crystal

Appearing (disappearing) lumps and rogue lumps of the two-dimensional vector Yajima-Oikawa system

“…(1) are reduced to the one-dimensional multicomponent YO system. This system has various physical applications [62,63,[66][67][68][69]. In particular, it describes in the case N = 2 and σ 1 = σ 2 = 1 the propagation of the vector electromagnetic and acoustic pulses [62,63,68,69].…”

“…This system has various physical applications [62,63,[66][67][68][69]. In particular, it describes in the case N = 2 and σ 1 = σ 2 = 1 the propagation of the vector electromagnetic and acoustic pulses [62,63,68,69]. In these physical applications, the variable τ plays the role of the dimensionless "local" time, while the variable y is the dimensionless spatial coordinate.…”

“…Note that the DT technique was applied to the multicomponent YO systems in the one-dimensional case in Refs. [62][63][64][65].…”

Existence and positivity properties of solitary waves for a multicomponent long wave-short wave interaction system

“…In recent years there has been renewed interest in the study of nonlinear waves in multi-component LSI system. The multi-component LSI systems arise in water waves theory [15], optics [24], ferromagnetism theory [23], acoustics [26], in a bulk elastic medium [16], to name a few. In this paper we consider a general multi-component LSI system describing the interaction of multiple NLS-type short waves with a KdV-type long wave in one dimension.…”

Existence of bound states for (N+1)-coupled long-wave--short-wave interaction equations

“…As such, it has been generating a significant amount of interest in recent years. Some examples of where a multicomponent LSI system may arise are bio-physics [12], ferromagnetism [19], water waves [11], nonlinear optics [21], elastic solid mechanics [15], and acoustics [22].…”