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

R. Fedele·H. Schamel·V. I. Karpman·P. K. Shukla
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Abstract

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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R. Fedele, H. Schamel, V. I. Karpman, P. K. Shukla. 2002-07-27. Envelope Solitons of Nonlinear Schrodinger Equation with an Anti-cubic Nonlinearity. https://doi.org/10.1088/0305-4470%2F36%2F4%2F322

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