Soliton solutions in the modified nonlinear Schrödinger equation in inhomogeneous optical fibers and non-uniform proteins
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DOI: 10.1016/j.ijleo.2019.162971
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… read more here.
Keywords: inhomogeneous optical; nonlinear schrodinger; schrodinger equation; optical fibers ... See more keywords
Optical solitons, conservation laws and modulation instability analysis for the modified nonlinear Schrödinger’s equation for Davydov solitons
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DOI: 10.1080/09205071.2017.1408499
Abstract: Abstract In this paper, the optical solitons to the modified nonlinear Schrödinger’s equation for davydov solitons are investigate. The modified F-expansion method is the integration technique employed to achieve this task. This yielded a combined… read more here.
Keywords: dinger equation; nonlinear schr; optical solitons; modified nonlinear ... See more keywords
The Prolongation Structure of the Modified Nonlinear Schrödinger Equation and Its Initial-Boundary Value Problem on the Half Line via the Riemann-Hilbert Approach
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DOI: 10.3390/math7020170
Abstract: In this paper, the Lax pair of the modified nonlinear Schrödinger equation (mNLS) is derived by means of the prolongation structure theory. Based on the obtained Lax pair, the mNLS equation on the half line… read more here.
Keywords: modified nonlinear; problem; riemann hilbert; equation ... See more keywords