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Damped double solitons in the nonlinear Schrödinger equation

The nonlinear Schrödinger equation modified by a damping term is investigated numerically for initial conditions other than single solitons. With damping, colliding solitons still pass through each other, but the breather can change qualitatively into two continuously interacting but separated solit...

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Bibliographic Details
Published in:The Physics of fluids (1958) 1979-05, Vol.22 (5), p.874-881
Main Authors: Pereira, N. R., Chu, Flora Y. F.
Format: Article
Language:English
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Summary:The nonlinear Schrödinger equation modified by a damping term is investigated numerically for initial conditions other than single solitons. With damping, colliding solitons still pass through each other, but the breather can change qualitatively into two continuously interacting but separated solitons. These results are consistent with a slow change in the inverse scattering eigenvalues due to the damping.
ISSN:0031-9171
2163-4998
DOI:10.1063/1.862676