Envelope Solitons of Nonlinear Schrodinger Equation with an Anti-cubic Nonlinearity

Details Envelope Solitons of Nonlinear Schrodinger Equation with an Anti-cubic Nonlinearity Envelope Solitons of Nonlinear Schrodinger Equation with an Anti-cubic Nonlinearity

2002-07-27

arxiv.org/abs/nlin/0207054v1

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

10.1088/0305-4470/36/4/322

On the basis of a recently-proposed method to find solitary solutions of generalized nonlinear Schrodinger equations [1]-[3], the existence of an envelope solitonlike solutions of a nonlinear Schrodinger equation containing an anti-cubic nonlinearity (|Psi|^{-4} Psi) plus a "regular" nonlinear part is investigated. In particular, in case the regular nonlinear part consists of a sum of a cubic and a quintic nonlinearities (i.e. q_1 |Psi|^2 Psi + q_2 |Psi|^4 Psi), an upper-shifted bright envelope solitonlike solution is explicitly found.

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