Optical soliton perturbation for Gerdjikov–Ivanov equation via two analytical techniques

Chinese Journal of Physics - Tập 56 - Trang 2879-2886 - 2018
Saima Arshed1, Anjan Biswas2,3, Mahmoud Abdelaty4, Qin Zhou5, Seithuti P. Moshokoa3, Milivoj Belic6
1Department of Mathematics, University of the Punjab, Lahore, 54590, Pakistan
2Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762, USA
3Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa
4Deanship of Research and Graduate Studies, Applied Science University, PO Box 5055, Bahrain
5School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, People’s Republic of China
6Science Program, Texas A&M University at Qatar, Doha, PO Box 23874, Qatar

Tài liệu tham khảo

Arshed, 2018, Two reliable techniques for the soliton solutions of perturbed Gerdjikov–Ivanov equation, Optik, 164, 93, 10.1016/j.ijleo.2018.02.119

Biswas, 2018, Optical solitons for Gerdjikov-Ivanov model by extended trial equation scheme, Optik, 157, 1241, 10.1016/j.ijleo.2017.12.095

Biswas, 2018, Optical soliton perturbation for Gerdjikov-Ivanov equation by extended trial equation method, Optik, 158, 747, 10.1016/j.ijleo.2017.12.191

Biswas, 2018, Optical soliton perturbation with gerdjikov–ivanov equation by modified simple equation method, Optik, 157, 1235, 10.1016/j.ijleo.2017.12.101

Biswas, 2018, Optical soliton perturbation with full nonlinearity for Gerdjikov–Ivanov equation by trial equation method, Optik, 157, 1214, 10.1016/j.ijleo.2017.12.099

Biswas, 2017, Conservation laws for Gerdjikov-Ivanov equation in nonlinear fiber optics and PCF, Optik, 148, 209, 10.1016/j.ijleo.2017.08.094

Biswas, 2017, Chirp-free bright optical solitons for perturbed Gerdjikov–Ivanov equation by semi–inverse variational principle, Optik, 147, 72, 10.1016/j.ijleo.2017.08.019

Fan, 2000, Integrable evolution systems based on Gerdjikov–Ivanov equations, bi-Hamiltonian structure, finite–dimensional integrable systems and n–fold Darboux transformation, J. Math. Phys., 41, 7769, 10.1063/1.1314895

Kadkhoda, 2017, Analytical solutions of the Gerdjikov–Ivanov equation by using exp(−ϕ(ξ))–expansion method, Optik, 139, 72, 10.1016/j.ijleo.2017.03.078

Manafian, 2016, Optical soliton solutions for the Gerdjikov–Ivanov model via tan(ϕ/2)–expansion method, Optik, 127, 9603, 10.1016/j.ijleo.2016.07.032

Tian, 2018, Long–time asymptotic behavior for the Gerdjikov–Ivanov type of derivative nonlinear Schrödinger equation with time–periodic boundary condition, Proc. Am. Math. Soc., 146, 1713, 10.1090/proc/13917

Liu, 2018, Analytic study on interactions between periodic solitons with controllable parameters, Nonlinear Dyn., 94, 279, 10.1007/s11071-018-4387-7

Xu, 2012, The rogue wave and breather solution of the Gerdjikov–Ivanov equation, J. Math. Phys., 53, 063507, 10.1063/1.4726510

Yilmaz, 2015, Exact solutions of the Gerdjikov–Ivanov equation using Darboux transformations, J. Nonlinear Math. Phys., 22, 32, 10.1080/14029251.2015.996438

Rezazadeh, 2018, New exact solutions of nonlinear conformable time-fractional Phi-4 equation., Chin. J. Phys., 10.1016/j.cjph.2018.08.001

Arshed, 2018, g′/g2-Expansion method: new traveling wave solutions for some nonlinear fractional partial differential equations, Opt. Quant. Electron., 50, 123, 10.1007/s11082-018-1391-6

Kumar, 2018, Modified Kudryashov method via new exact solutions for some conformable fractional differential equations arising in mathematical biology, Chin. J. Phys., 56, 75, 10.1016/j.cjph.2017.11.020

Yu, 2018, Periodic oscillations of dark solitons in nonlinear optics, Optik, 165, 341, 10.1016/j.ijleo.2018.03.137

Qin, 2013, Lie symmetry analysis, conservation laws and analytic solutions of the time fractional Kolmogorov-Petrovskii-Piskunov equation, Chin. J. Phys., 56, 1734, 10.1016/j.cjph.2018.05.002

Osman, 2018, The unified method for conformable time fractional Schrdinger equation with perturbation terms, Chin. J. Phys., 10.1016/j.cjph.2018.06.009

Jafari, 2010, New solitary wave solutions for generalized regularized long-wave equation, Int. J. Comput. Math., 87, 509, 10.1080/00207160802123441

Chai, 2018, Vector dark solitons and breathers for the coupled defocusing Hirota system in the birefringent nonlinear fiber, Chin. J. Phys., 10.1016/j.cjph.2018.07.013

Xie, 2017, Soliton collisions for a higher-order nonlinear Schröodinger-Maxwell-Bloch system in an erbium-doped fiber, Chin. J. Phys., 55, 1369, 10.1016/j.cjph.2017.04.008

Daoui, 2019, Propagation of chirped gray optical dips in nonlinear metamaterials, Opt. Commun., 430, 461, 10.1016/j.optcom.2018.09.001

Biswas, 2018, Optical soliton perturbation with quadratic-cubic nonlinearity using a couple of strategic algorithms, Chin. J. Phys., 56, 1990, 10.1016/j.cjph.2018.09.009

Thông tin
Thông tin xuất bản

Chinese Journal of Physics

Tập 56

2879-2886

Thông tin tác giả