Lab of Complex Systems Modeling and Control seminar: "Management of Localized Waves in Inhomogeneous Media with Modulated Nonlinearities"
Laboratory of Complex Systems Modeling and Control will have the next online seminar on Thursday, October 13, 16:20.
Title: Management of Localized Waves in Inhomogeneous Media with Modulated Nonlinearities
Speaker: K. Sakkaravarthi, Young Scientist Training Program Asia-Pacific Center for Theoretical Physics (APCTP), Republic of Korea
The dynamics of nonlinear systems feature several exciting phenomena that find multifaceted applications in different fields of science, engineering, and technology. Various nonlinear coherent structures like bright-bright, bright-dark, and dark-dark type solitons/solitary waves, Akhmediev & Ma breathers, rogue waves, etc. associated with such scalar and vector models are of considerable physical significance. The characteristics of nonlinear waves are explored through different analytic/numeric investigations and experimental realization.
In this talk, we will discuss the impact of nonlinearity modulation in the dynamics of localized waves arising in inhomogeneous Kerr-type optical media. For this purpose, we consider a coherently coupled nonlinear Schrödinger equation consisting of varying dispersion, incoherent (self-phase and cross-phase modulations), and coherent (four-wave mixing) nonlinearities. We obtain explicit solutions by designing an appropriate similarity transformation and explore the dynamics of stable bright solitons along with bright-dark and bright-bright type Akhmediev-Ma breathers and rogue waves possessing different localized coherent structures. We study their manipulation mechanism for appropriately chosen forms of modulated nonlinearities by incorporating elliptic functions. We demonstrate phenomena such as soliton amplification, compression, tunnelling through a localized barrier, superposition/interaction of breather-soliton, transition from soliton/rogue wave to breather, and existence on modulated background with significant characteristics. The present results will be helpful for a better understanding of the dynamics of nonlinear waves in various inhomogeneous media.