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Optical Solitons With M-Truncated and Beta Derivatives in Nonlinear Optics

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References
56
[1]
Diethelm The Analysis of Fractional Differential Equations (2010) 10.1007/978-3-642-14574-2
[2]
Miller (1993)
[3]
Podlubny (1999)
[4]
Oldham (1974)
[5]
Bas "Real world applications of fractional models by Atangana-Baleanu fractional derivative" Chaos Solitons Fractals. (2018) 10.1016/j.chaos.2018.09.019
[6]
El-Sayed "The Adomian decomposition method for solving partial differential equations of fractal order in finite domains" Phys Lett A (2006) 10.1016/j.physleta.2006.06.024
[7]
Mirzazadeh "Dispersive optical solitons by Kudryashov's method" Optik (2014) 10.1016/j.ijleo.2014.02.044
[8]
Nazarzadeh "Exact solutions of some nonlinear partial differential equations using functional variable method" Pramana (2013) 10.1007/s12043-013-0565-9
[9]
Osman "The unified method for conformable time fractional Schrodinger equation with perturbation terms" Chin J Phys. (2018) 10.1016/j.cjph.2018.06.009
[10]
Ghanbari "Dark optical solitons and modulation instability analysis of nonlinear Schrodinger equation with higher order dispersion and cubic-quintic nonlinearity" J Coupled Syst Multiscale Dyn. (2018) 10.1166/jcsmd.2018.1160
[11]
Qureshi "Fractional modeling of blood ethanol concentration system with real data application" Chaos (2019) 10.1063/1.5082907
[12]
Qureshi "Modeling chickenpox disease with fractional derivatives: from caputo to atangana-baleanu" Chaos Solit Fract. (2019) 10.1016/j.chaos.2019.03.020
[13]
Qureshi "Fractional derivatives applied to MSEIR problems: comparative study with real world data" Eur Phys J Plus (2019) 10.1140/epjp/i2019-12661-7
[14]
Younas "Exact optical solitons in (n + 1)-dimensions under anti-cubic law of nonlinearity" Optik (2018) 10.1016/j.ijleo.2017.11.148
[15]
Tariq "Optical solitons in monomode fibers with higher order nonlinear Schrodinger equation" Optik (2018) 10.1016/j.ijleo.2017.10.035
[16]
Ashraf "Dipole and combo solitons in DWDM systems" Optik (2018) 10.1016/j.ijleo.2017.12.201
[17]
Inc "On multiple soliton similariton-pair solutions, conservation laws via multiplier and stability analysis for the Whitham-Broer-Kaup equations inweakly dispersive media" Math Meth Appl Sci. (2019) 10.1002/mma.5521
[18]
Nawaz "Optical soliton for perturbed nonlinear fractional Schrodinger equation by extended trial function method" Opt Quant Electr. (2018) 10.1007/s11082-018-1468-2
[19]
Yusuf "Optical solitons possessing beta derivative of the Chen-Lee-Liu equation in optical fibers" Front. Phys. (2019) 10.3389/fphy.2019.00034
[20]
Abdel-Gawad "On multi-fusion solitons induced by inelastic collision for quasi-periodic propagation with nonlinear refractive index and stability analysis" Mod Phys Lett B (2018) 10.1142/s0217984918503530
[21]
Ghanbari "The new exact solitary wave solutions and stability analysis for the (2+1)-dimensional Zakharov-Kuznetsov equation" Adv Diff Equat. (2019) 10.1186/s13662-019-1964-0
[22]
Eslami "New exact solutions for higher order nonlinear Schrodinger equation in optical fibers" Opt Quant Electr. (2018) 10.1007/s11082-017-1310-2
[23]
Eslami "Optical solitons with Biswas Milovic equation for power law and dual-power law nonlinearities" Nonlin Dyn. (2016) 10.1007/s11071-015-2361-1
[24]
Eslami "The first integral method for Wu Zhang system with conformable time-fractional derivative" Calcolo (2016) 10.1007/s10092-015-0158-8
[25]
Khodadad "Soliton solutions of the conformable fractional Zakharov Kuznetsov equation with dual-power law nonlinearity" Opt Quant Electr. (2017) 10.1007/s11082-017-1225-y
[26]
Eslami "First integral method to look for exact solutions of a variety of Boussinesq-like equations" Ocean Eng. (2014) 10.1016/j.oceaneng.2014.02.026
[27]
Biswas "Solitons in optical metamaterials by functional variable method and first integral approach" Frequenz (2014) 10.1515/freq-2014-0050
[28]
Ekici "Solitons and other solutions to Boussinesq equation with power law nonlinearity and dual dispersion" Nonlin Dyn. (2016) 10.1007/s11071-015-2515-1
[29]
Mirzazadeh "1-Soliton solution of KdV6 equation" Nonlin Dyn. (2015) 10.1007/s11071-014-1876-1
[30]
Rezazadeh "Traveling wave solution of conformable fractional generalized reaction Duffing model by generalized projective Riccati equation method" Opt Quant Electr. (2018) 10.1007/s11082-018-1416-1
[31]
Zhou "Optical solitons with Biswas Milovic equation by extended trial equation method" Nonlin Dyn. (2016) 10.1007/s11071-016-2613-8
[32]
Eslami "Trial solution technique to chiral nonlinear Schrodinger's equation in (1+ 2)-dimensions" Nonlin Dyn. (2016) 10.1007/s11071-016-2724-2
[33]
Mirzazadeh "Optical solitons in nonlinear directional couplers by sine cosine function method and Bernoulli's equation approach" Nonlin Dyn. (2015) 10.1007/s11071-015-2117-y
[34]
Neirameh "An analytical method for finding exact solitary wave solutions ofthe coupled (2 1)-dimensional Painlev Burgers equation" Sci Iran. (2017) 10.24200/sci.2017.4056
[35]
Neirameh "New travelling wave solutions for plasma model of extended K-dV equation" Afrika Matematika. (2019) 10.1007/s13370-018-00651-2
[36]
Mirzazadeh "Soliton solutions of the generalized Klein Gordon equation by using (G′G) G' G-expansion method" Comput Appl Math. (2014) 10.1007/s40314-013-0098-3
[37]
Eslami "Solutions for Space Time Fractional (2+ 1)-Dimensional Dispersive Long Wave Equations" Iran J Sci Technol Trans A. (2017) 10.1007/s40995-017-0320-z
[38]
Eslami "Exact solutions to the space time fractional Schrdinger Hirota equation and the space time modified KDV Zakharov Kuznetsov equation" Opt Quant Electron. (2017) 10.1007/s11082-017-1112-6
[39]
Podlubny (1998)
[40]
Oldham (1974)
[41]
Singh "A new fractional model for giving up smoking dynamics" Adv Differ Equ. (2017) 10.1186/s13662-017-1139-9
[42]
A new dissipation model based on memory mechanism

M. Caputo, F. Mainardi

Pure and Applied Geophysics 1971 10.1007/bf00879562
[43]
Bas "Fractional models with singular and non-singular kernels for energy efficient buildings" Chaos. (2019) 10.1063/1.5082390
[44]
New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model

Abdon Atangana, Dumitru Baleanu

Thermal Science 2016 10.2298/tsci160111018a
[45]
Atangana "A note on fractional order derivatives and table of fractional derivatives of some special functions" Abstr Appl Anal. (2013) 10.1155/2013/279681
[46]
A new definition of fractional derivative

R. Khalil, M. Al Horani, A. Yousef et al.

Journal of Computational and Applied Mathematics 2014 10.1016/j.cam.2014.01.002
[47]
Acay "Non-local fractional calculus from different viewpoint generated by truncated M-derivative" J Comput Appl Math. (2019) 10.1016/j.cam.2019.112410
[48]
Sousa "A new truncated M-fractional derivative type unifying some fractional derivative types with classical properties" Int J Anal Appl. (2018)
[49]
Scott (2005)
[50]
Mirzazadeh "Optical solitons with complex Ginzburg-Landau equation" Nonlin Dyn. (2016) 10.1007/s11071-016-2810-5

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Published
Sep 04, 2019
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Abdullahi Yusuf, Mustafa Inc, Dumitru Baleanu (2019). Optical Solitons With M-Truncated and Beta Derivatives in Nonlinear Optics. Frontiers in Physics, 7. https://doi.org/10.3389/fphy.2019.00126
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