2022•«Узбекский физический журнал»Open access

Variational analysis of averaged nonlinearity-managed solitons

J.S. Yuldashev

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Abstract

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.

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Available abstract

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

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