Bright Soliton Solution of (1+1)‐Dimensional Quantum System with Power‐Law Dependent Nonlinearity

Yukun Zhao, Yujie Chen, Jun Dai, Ying Wang and Wei Wang

Advances in Mathematical Physics, 2019, vol. 2019, issue 1

Abstract: We study the nonlinear dynamics of (1+1)‐dimensional quantum system in power‐law dependent media based on the nonlinear Schrödinger equation (NLSE) incorporating power‐law dependent nonlinearity, linear attenuation, self‐steepening terms, and third‐order dispersion term. The analytical bright soliton solution of this NLSE is derived via the F‐expansion method. The key feature of the bright soliton solution is pictorially demonstrated, which together with typical analytical formulation of the soliton solution shows the applicability of our theoretical treatment.

Date: 2019
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https://doi.org/10.1155/2019/8264848

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2019:y:2019:i:1:n:8264848

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