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Inverse Scattering and Soliton Solutions for a New Integrable System
Authors:Supriya Mukherjee  A Roy Chowdhury
Institution:(1) High Energy Physics Division, Department of Physics, Jadavpur University, Kolkata, India
Abstract:A new integrable system describing the process of self-induced transparency with spatial dispersion is analyzed from the viewpoint of inverse scattering transform. The coupled set of Gelfand–Levitan equation is established and solved for one soliton solutions. The explicit structure of the solutions are exhibited graphically.
Keywords:IST  soliton  new integrable system  Gelfand–  Levitan equation
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