This book highlights the dynamical behavior of self-similar waves in graded-index waveguides in (1+1)-dimensions and (2+1)-dimensions. The mechanism to control these optical similaritons by tailoring the tapering profile is presented. Various nonlinear waves like rogons, butterfly-shaped, and dromion-like waves and their controllable behavior are discussed in detail. The phenomenon of unbreakable Parity-Time symmetry of some of these waves has been delineated for different variety of solvable potentials. Compression of these exotic waves has been demonstrated for dispersion decreasing fiber and periodic management of dispersion and nonlinearity parameters. Competing cubic-quintic nonlinearity scenario and its potential implication on the dynamics of these similaritons has been described in detail. Symbiotic self-similar rogue waves have been discussed in (2+1)-dimensional garded-index waveguide. The book also includes numerical simulations that complement these analytical insights.

About the Author

Dr Thokala Soloman Raju obtained his M.Phil and Ph.D in Theoretical Physics, from the University of Hyderabad, India, under the supervision of Prof P K Panigrahi. He has held faculty position in several institutes in India that includes BITS-PILANI and IISER Tirupati. His research interests are mainly in the areas of Nonlinear Dynamics with particular emphasis on Solitary waves in Nonlinear Optical waveguides and Bose-Einstein condensates.

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