Dynamics of rogue waves and modulational instability with the Manakov system in a nonlinear electric transmission line with second couplings

被引:0
作者
Ahmadou, Djidere [1 ]
Alphonse, Houwe [2 ]
Justin, Mibaile [3 ]
Philippe, Djondine [4 ]
Alioum, Saidou [3 ]
Betchewe, Gambo [2 ]
Serge, Doka Yamigno [4 ]
Crepin, Kofane Timoleon [5 ]
机构
[1] Univ Bertoua, Higher Teachers Training Coll Bertoua, Dept Phys, POB 416, Bertoua, Cameroon
[2] Univ Maroua, Fac Sci, Dept Phys, POB 814, Maroua, Cameroon
[3] Univ Maroua, Higher Teachers Training Coll Maroua, Dept Phys, POB 46, Maroua, Cameroon
[4] Univ Ngaoundere, Fac Sci, Dept Phys, POB 454, Ngaoundere, Cameroon
[5] Univ Yaounde I, Fac Sci, Dept Phys, POB 812, Yaounde, Cameroon
关键词
TRAINS; WATER;
D O I
10.1140/epjp/s13360-023-04773-w
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this study, we investigate rogue wave dynamics and modulational instability using the Manakov system in a nonlinear electrical transmission line with second couplings. Using semi-discrete approximation, we demonstrate how the dynamics of rogue waves in this type of transmission line can be governed by the Manakov system. To study the dynamics of rogue waves in this structure via this approximation, we used the parameters of this transmission line and derived new forms of propagating rogue wave solutions. The solutions obtained are presented as new rogue waves of types I and II. In this work, we show that the dynamics of different types of rogue waves in different types of nonlinear electrical transmission lines can be studied using the Manakov system. Indeed, with the choice of small values of inductance (L-3) in the two types of rogue waves, the effects of the second coupling are clearly visible during the formation of these waves, namely at the level shapes, hollows, and amplitude. Additionally, it can be observed that the dispersion capacity (C-S) also affects the shapes, troughs, peaks, and widths of these rogue waves as the troughs gradually disappear, and the peak widths decrease when the dispersion capacity (C-S) increases. Finally, concerning the modulational instability in this structure, the essential information that we can retain is that these second couplings (L-3) would impact the zones of instability, which could gradually disappear along this line. To avoid overload, we limited ourselves to these major effects. The results obtained by this Manakov system show not only its efficiency and robustness, but also its potential applicability to other types of useful nonlinear electrical transmission lines, and that these new forms of rogue waves do indeed exist in nonlinear electrical transmission lines with second couplings. This feature has not been sufficiently addressed in this type of nonlinear electrical transmission line and will be useful in many branches of physics.
引用
收藏
页数:21
相关论文
共 73 条
[1]   New coupled rogue waves propagating backward and forward and modulation instability in a composite nonlinear right- and left-handed transmission line [J].
Ahmadou, Djidere ;
Alphonse, Houwe ;
Justin, Mibaile ;
Betchewe, Gambo ;
Serge, Doka Yamigno ;
Crepin, Kofane Timoleon ;
Inc, Mustafa .
EUROPEAN PHYSICAL JOURNAL PLUS, 2021, 136 (10)
[2]   Rogue waves and rational solutions of the nonlinear Schroumldinger equation [J].
Akhmediev, Nail ;
Ankiewicz, Adrian ;
Soto-Crespo, J. M. .
PHYSICAL REVIEW E, 2009, 80 (02)
[3]   EXTREMELY HIGH DEGREE OF N-SOLITON PULSE-COMPRESSION IN AN OPTICAL FIBER [J].
AKHMEDIEV, NN ;
MITZKEVICH, NV .
IEEE JOURNAL OF QUANTUM ELECTRONICS, 1991, 27 (03) :849-857
[4]   MODULATION INSTABILITY AND PERIODIC-SOLUTIONS OF THE NONLINEAR SCHRODINGER-EQUATION [J].
AKHMEDIEV, NN ;
KORNEEV, VI .
THEORETICAL AND MATHEMATICAL PHYSICS, 1986, 69 (02) :1089-1093
[5]  
Akinyemi Lanre, 2023, Optik, DOI 10.1016/j.ijleo.2023.171202
[6]  
Akinyemi L., 2023, Commun. Theor. Phys, V2, P23
[7]   Numerical solution for generalized nonlinear fractional integro-differential equations with linear functional arguments using Chebyshev series [J].
Ali, Khalid K. ;
Abd El Salam, Mohamed A. ;
Mohamed, Emad M. H. ;
Samet, Bessem ;
Kumar, Sunil ;
Osman, M. S. .
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[8]   Rogue waves and rational solutions of the Hirota equation [J].
Ankiewicz, Adrian ;
Soto-Crespo, J. M. ;
Akhmediev, Nail .
PHYSICAL REVIEW E, 2010, 81 (04)
[9]   OBSERVATION OF MODULATIONAL INSTABILITY IN A MULTICOMPONENT PLASMA WITH NEGATIVE-IONS [J].
BAILUNG, H ;
NAKAMURA, Y .
JOURNAL OF PLASMA PHYSICS, 1993, 50 :231-242
[10]   Sasa-Satsuma equation: Soliton on a background and its limiting cases [J].
Bandelow, U. ;
Akhmediev, N. .
PHYSICAL REVIEW E, 2012, 86 (02)