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Soliton solutions in the modified nonlinear Schrödinger equation in inhomogeneous optical fibers and non-uniform proteins

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Abstract A variable-coefficient modified nonlinear Schrodinger equation is introduced to describe dynamics of optical wave in inhomogeneous optical fibers and travelling wave in the non-uniform alpha-helical proteins. A correlation between… Click to show full abstract

Abstract A variable-coefficient modified nonlinear Schrodinger equation is introduced to describe dynamics of optical wave in inhomogeneous optical fibers and travelling wave in the non-uniform alpha-helical proteins. A correlation between the variable-coefficient modified nonlinear Schrodinger equation and the constant cubic–quintic one is presented. Based on solutions of the constant cubic–quintic nonlinear Schrodinger equation, we get explicit solutions of the variable-coefficient modified nonlinear Schrodinger equation.

Keywords: inhomogeneous optical; nonlinear schrodinger; schrodinger equation; optical fibers; equation; modified nonlinear

Journal Title: Optik
Year Published: 2019

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