Nonlinear Schrödinger Equation can be applied to hydrodynamics, nonlinear optics, nonlinear acoustics, quantum condensates, heat pulses in solids and various other nonlinear instability phenomena. It is a classical field equation whose principal applications are to the propagation of light in nonlinear optical fibers and planar waveguides and to BoseEinstein condensates confined to highly anisotropic cigarshaped traps, in the meanfield regime. It is a prototypical dispersive nonlinear partial differential equation (PDE) that has been derived in many areas of physics and analyzed mathematically for over 40 years.
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