Optical solitary waves and conservation laws to the (2+1)-dimensional hyperbolic nonlinear Schrodinger equation

被引:17
作者
Aliyu, Aliyu Isa [1 ,2 ]
Inc, Mustafa [1 ]
Yusuf, Abdullahi [1 ,2 ]
Baleanu, Dumitru [3 ,4 ]
机构
[1] Firat Univ, Sci Fac, Dept Math, TR-23119 Elazig, Turkey
[2] Fed Univ Dutse, Fac Sci, Dept Math, Jigawa, Nigeria
[3] Cankaya Univ, Dept Math, Ankara, Turkey
[4] Inst Space Sci, Magurele, Romania
来源
MODERN PHYSICS LETTERS B | 2018年 / 32卷 / 30期
关键词
Hyperbolic nonlinear Schrodinger equation; solitary wave ansatz solution; gray and black optical solitary wave solutions; conservation laws; multipliers approach; ZAKHAROV-KUZNETSOV EQUATION; ION-ACOUSTIC-WAVES; SHRODINGERS EQUATION; GORDON EQUATIONS; SOLITONS; PLASMA; BRIGHT;
D O I
10.1142/S0217984918503736
中图分类号
O59 [应用物理学];
学科分类号
摘要
This work studies the hyperbolic nonlinear Schrodinger equation (H-NLSE) in (2 + 1)-dimensions. The model describes the evolution of the elevation of water wave surface for slowly modulated wave trains in deep water in hydrodynamics, and also governs the propagation of electromagnetic fields in self-focusing and normally dispersive planar wave guides in optics. A class of gray and black optical solitary wave solutions of the H-NLSE are reported by adopting an appropriate solitary wave ansatz solution. Moreover, classification of conservation laws (Cls) to the H-NLSE is implemented using the multipliers approach. Some physical interpretations and analysis of the results obtained are also presented.
引用
收藏
页数:8
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