Dissipative periodic waves, solitons and breathers of the nonlinear Schrodinger equation with complex potentials

Details Dissipative periodic waves, solitons and breathers of the nonlinear Schrodinger equation with complex potentials Dissipative periodic waves, solitons and breathers of the nonlinear Schrodinger equation with complex potentials

2010-11-16

arxiv.org/abs/1011.3640v1

Physical Review E 82, 056606, (2010)

Nonlinear Sciences

Pattern Formation and Solitons

7 pages, 8 figures

Scientific paper

Exact solutions for the generalized nonlinear Schr\"odinger (NLS) equation with inhomogeneous complex linear and nonlinear potentials are found. We have found localized and periodic solutions for a wide class of localized and periodic modulations in the space of complex potentials and nonlinearity coefficients. Examples of stable and unstable solutions are given. We also demonstrated numerically the existence of stable dissipative breathers in the presence of an additional parabolic trap.

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