Diverse composite waves in coherently coupled inhomogeneous fiber systems with external potentials

Breather Interaction Properties Induced by Self-Steepening and Space-Time Correction*

“…The latter can be readily realized in optical experiments using dual frequency excitation. [18] In the remaining cases, |𝜓(0, 𝑡)| exhibits asymmetric irregular distribution of amplitude profiles (not shown here). The whole picture of these breather collisions is displayed in Table 1.…”

“…[14,15] In particular, experimental excitations of optical breathers have moved recently from the fundamental breathers to their collisions. [10,16,17,18] The latter possesses new unexpected properties that widen greatly the applications of breathers to nonlinear physics.…”

“…When 𝜅 → 0 and 𝜎 = +1, the solution reduces to the NLSE breather solution which has been confirmed in experiments. [1] It should be pointed out that the solution can describe various scenarios of breather interactions under different parameter conditions, such as rogue wave formation, [6−8] SR breather, [28] breather molecule, [17,18] and chess-board-like interference pattern. [20] Yet, it is impossible to study all these in one work.…”

The effect of coherent coupling nonlinearity on modulation instability and rogue wave excitation

“…For example, Chan et al [26] discovered additional MI regimes and novel RW structures linked to group-velocity mismatch in coupled multi-wave systems. The novel wave-based phenomena found in coherently coupled systems give rise to additional complexity due to the existence of additional mechanisms for energy transfer between the two constituent waves [29,30].…”

Engineering optical rogue waves and breathers in a coupled nonlinear Schrödinger system with four-wave mixing effect

“…Also, equation (1) contains coherent coupling nonlinearity resulting from four-wave mixing effect in addition to the standard incoherent nonlinearities self-phase modulation (SPM) and cross-phase modulation (XPM). The above equation is non-integrable while its homogeneous version turns out to be integrable for which and for several similar models various nonlinear wave solutions including solitons, periodic waves, breathers, rogue waves, etc have been obtained by using various methods [11][12][13][14][15][16][17][18][19][20][21][22][23][24] and one version is also referred as pair-transition-coupled NLS model [21][22][23][24]. Further, there exist several studies on certain scalar inhomogeneous models and their related coupled systems exploring the dynamics of different nonliner waves in both one-and higher-dimensions, to mention a few [25][26][27][28][29][30].…”