Modulation stability analysis and solitary wave solutions of nonlinear higher-order Schrodinger dynamical equation with second-order spatiotemporal dispersion

被引:28
作者
Seadawy, Aly R. [1 ,2 ]
Arshad, Muhammad [3 ]
Lu, Dianchen [3 ]
机构
[1] Taibah Univ, Fac Sci, Dept Math, Medina, Saudi Arabia
[2] Beni Suef Univ, Fac Sci, Dept Math, Bani Suwayf, Egypt
[3] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Jiangsu, Peoples R China
关键词
Modified extended mapping method; Higher-order nonlinear Schrodinger equation; Solitons; Solitary wave solutions; EXPLICIT SOLUTIONS; INSTABILITY ANALYSIS; DISCRETE; BRIGHT;
D O I
10.1007/s12648-018-01361-y
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In optical fibers, the higher-order nonlinear Schrodinger (NLS) dynamical equation which describes the beyond the classic slowly varying envelopes and spatiotemporal dispersion of pulses is investigated. By applying the proposed modified extended mapping method, the optical soliton solutions of higher-order NLS dynamical equation with the coefficients of group velocity dispersion, second-order spatiotemporal dispersion and cubic nonlinearity are deduced. The obtained solutions have important applications in applied sciences and engineering. The formation conditions are specified on parameters in which optical solitons can exist for this media. The moments of some constructed solutions are presented graphically which facilitate the researchers to comprehend the physical phenomena of this equation. The modulation instability analysis is utilized to discuss the model stability, which verifies that all obtained solutions are stable and exact. Other such forms of the system arising in sciences and engineering can also be solved by this steadfast, influential and effective method.
引用
收藏
页码:1041 / 1049
页数:9
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