Modulational Instability of the Second-order Bright Solitary Wave in Flattened Optical Fiber
Asian Journal of Research and Reviews in Physics, Volume 6, Issue 2,
The criterion of modulational instability of the second order bright solitary wave is studied in this article. The Principle consists initially in seeking all solitary wave solutions of the bright type which verify the nonlinear partial differential equation which governs the dynamics of propagation in flattened optical fibers. When the reference solution to be subjected to a disturbance is identified, the next step consists in establishing the condition of modulational stability/instability.
- Flattened optical fiber
- bright solitary wave
- modulational instability
- iB- function
- partial differential equation
How to Cite
Benjamin TB, Feir E. The disintegration of waves trains on deep water. Part1-Theory, J. Fluid Mech. 1967;27:417-430.
Zakharov VE. Stability of periodic waves of finite amplitude on the surface of a deep fluid. J. Appl. Mech. Tech. Phys. 1968;2:190-194.
Kivshar YuS, M. Peyrard M. Modulational instabilities in discrete lattice. Phys. Rev. A. 1992;46:3198-3206.
Kivshar YuS, Anderson D, Höök A, M. Lisak, Afanasjev AA, Serkin VN. Symbiotic optical solitons and modulational instability. Phys. Scr. 1991;44:195- 202.
Abdullaev FKh, Bouketir A, Messikh A, Umarov BA. Modulational instability and discrete breathers in the discrete cubic-quintic nonlinear Schrödinger equation, Physica D. 2007;232:54-61.
Mason A, Kevrekidis PG, Malomed BA, Frantzeskakis DJ. Modulated amplitude waves in collisionally inhogeneous Bose-Einstein condensates. Physica D. 2007;229:104-115.
Abdullaev FKh, Abdumalikov AA, Galimzyanov RM. Modulational instability of matter waves under strong nonlinearity management. Physica D. 2009;238: 1345-1351.
Bogning JR , Porsezian K, Fautso Kuiaté G, Omanda HM. Gap solitary waves induced by the modulational instability of pulse and discrete effects in array of inhomogeneous optical fibers. Physics Journal. 2015;1(3):216-224.
Bogning JR. Nth order pulse solitary wave solution and modulational instability in the Boussinesq equation. American Journal of Computational and Applied Mathematics. 2015;5(6):182-188.
Hasegawa A. A generation of a train of soliton by induced modulational instability in optical fibers, Opt. Lett. 1984;9:288-290.
Tai K, Tomita A, Jewell JL, Hasagawa A. generalisation of subpicosecond soliton like optical pulses at 0.3 THz by induced modulational instability in optical fibers. APPl. Phys. Lett. 1986;49:236-238.
Raja RVJ, Porsezian K , Nithyanandan K. Modulational instability induced supergontinuum generation with saturable nonlinear response. Phys. Rev. A. 2010;82:013825.
Sarma AK, Kumar P. Modulation instability of ultrashort pulses in quadratic nonlinear media beyond the slowly varying envelope approximation. Appl. Phys. B. 2012;106:289 .
Sarma AK. Modulational instability of few-cycle pulses in optical fibers. Eur. Phys. Lett. 2010;97:24004.
Bogning JR, Mathematics for nonlinear Physics: Solitary waves in the center of resolution of dispersive nonlinear partial differential equations. Dorrance Publishing Co, USA; 2019.
Bogning JR. Mathematics for Physics: The implicit Bogning functions and applications. Lambert Academic Publishing, Germany.2019.
Bogning JR. Elements of Analytical Mechanics and Quantum Physics. Lambert Academic, Publishing, Germany; 2020.
Bogning JR, Djeumen Tchaho CT Kofané TC. Construction of the soliton solutions of the Ginzburg-Landau equations by the new Bogning-Djeumen Tchaho-Kofané method. Physica Scripta. 2012;85:025013-025018.
Bogning JR, Djeumen Tchaho CT, Kofané TC. Generalization of the Bogning- Djeumen Tchaho-Kofane Method for the construction of the solitary waves and the survey of the instabilities. Far East Journal of Dynamical Systems. 2012;20(2): 101-119.
Ngouo Tchinda C, Bogning JR. solitary waves and property management of nonlinear dispersive and flattened optical fiber. American Journal of Optics and Photonics. 2020;8(1):87-32.
Bogning J R, Ngouo Tchinda C. Impact of the properties of the elliptical birefringent optical fiber on the nature and propagation of wave and solitary wave solutions. International Journal of Scientific Engineering and Science. 2021;12: 27-43.
Bogning JR. Mathematics for physics: Introduction to main and secondary iB-functions. Generis Publishing; 2022.
Bogning JR. Jeatsa Dongmo C, Clément Tchawoua C. The probabilities of obtaining solitary wave and other solutions in the modified noguchi Power line. Journal of Mathemetics Research. 2021;13(4): 19-29.
Bogning JR, Njikue R, Ngantcha JP, Omanda HM, Djeumen Tchaho CT. Probabilities and Probable solutions of a modified KdV type nonlinear partial differential equation. Asian Research Journal of Mathematics. 2022;81407: 1-13.
Abstract View: 119 times
PDF Download: 40 times