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Exact optical solitons of the perturbed nonlinear Schrödinger–Hirota equation with Kerr law nonlinearity in nonlinear fiber optics
Open Physics ( IF 1.9 ) Pub Date : 2020-08-27 , DOI: 10.1515/phys-2020-0177 Alphonse Houwe, Souleymanou Abbagari, Gambo Betchewe, Mustafa Inc, Serge Y. Doka, Kofane Timoléon Crépin, Dumitru Baleanu, Bandar Almohsen
Open Physics ( IF 1.9 ) Pub Date : 2020-08-27 , DOI: 10.1515/phys-2020-0177 Alphonse Houwe, Souleymanou Abbagari, Gambo Betchewe, Mustafa Inc, Serge Y. Doka, Kofane Timoléon Crépin, Dumitru Baleanu, Bandar Almohsen
Abstract This article studies dark, bright, trigonometric and rational optical soliton solutions to the perturbed nonlinear Schrödinger–Hirota equation (PNLSHE). Hence, we have examined two cases: first, restrictions have been done to the third-order (TOD) (γ) as constraint relation, and the coupling coefficients (σ) is obtained as well as the velocity of the soliton by adopting the traveling wave hypothesis. Second, the TOD and the coupling coefficients are non-zero value, sending back to the PNLSHE, which has been studied in refs. [4,10,16] recently. By employing two relevant integration technics such as the auxiliary equation and the modified auxiliary equation method, miscellaneous optical solitary wave is obtianed, which is in agreement with the outcomes collected by the previous studies [4,16]. These results help in obtaining nonlinear optical fibers in the future.
中文翻译:
非线性光纤中具有克尔定律非线性的受扰非线性 Schrödinger-Hirota 方程的精确光孤子
摘要 本文研究了受扰非线性薛定谔-广田方程 (PNLSHE) 的暗、亮、三角和有理光学孤子解。因此,我们研究了两种情况:首先,对作为约束关系的三阶(TOD)(γ)进行了限制,并通过采用行进方式获得了耦合系数(σ)以及孤子的速度波假说。其次,TOD 和耦合系数是非零值,发送回 PNLSHE,这已在参考文献中研究过。[4,10,16] 最近。采用辅助方程法和修正辅助方程法两种相关积分技术,得到杂光孤波,与前人研究[4,16]的研究结果一致。
更新日期:2020-08-27
中文翻译:
非线性光纤中具有克尔定律非线性的受扰非线性 Schrödinger-Hirota 方程的精确光孤子
摘要 本文研究了受扰非线性薛定谔-广田方程 (PNLSHE) 的暗、亮、三角和有理光学孤子解。因此,我们研究了两种情况:首先,对作为约束关系的三阶(TOD)(γ)进行了限制,并通过采用行进方式获得了耦合系数(σ)以及孤子的速度波假说。其次,TOD 和耦合系数是非零值,发送回 PNLSHE,这已在参考文献中研究过。[4,10,16] 最近。采用辅助方程法和修正辅助方程法两种相关积分技术,得到杂光孤波,与前人研究[4,16]的研究结果一致。