Tuesday, June 18, 2013

1306.3643 (Mario Salerno)

Mapping Between Nonlinear Schödinger Equations with Real and Complex

Mario Salerno
A mapping between stationary solutions of nonlinear Sch\"odinger equations with real and complex potentials is constructed and a set of exact solutions with real energies are obtained for a large class of complex potentials. As specific examples we consider the case of the damped dynamics of a quantum harmonic oscillator and the case of dissipative periodic soliton solutions of the nonlinear Schr\"odinger equation with complex potential.
View original: http://arxiv.org/abs/1306.3643

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