Variational analysis of averaged nonlinearity-managed solitons
J.S. Yuldashev
Abstract
Open-access reader
J.S. Yuldashev
Abstract
Open-access reader
The nonlinear Schrodinger equation with periodically varying nonlinearity coefficient thatdescribes matter-wave soliton in in Bose-Einstein Condensation (BEC) and optical solitons isconsidered analytically. Variational approach is applied on the derived averaged equationwhich describes nonlinearity-managed solitons. A good agreement between analytical solutions obtained by means of variational analysis and numerical solutions of derived averagedequation is demonstrated.
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The nonlinear Schrodinger equation with periodically varying nonlinearity coefficient thatdescribes matter-wave soliton in in Bose-Einstein Condensation (BEC) and optical solitons isconsidered analytically. Variational approach is applied on the derived averaged equationwhich describes nonlinearity-managed solitons. A good agreement between analytical solutions obtained by means of variational analysis and numerical solutions of derived averagedequation is demonstrated.
Key concepts: Soliton, Bose–Einstein condensate, Variational analysis, Nonlinear system, Variational method, Physics, Condensation, Nonlinear Schrödinger equation