American Institute of Mathematical Sciences

A. Abdon and B. Dumitru, New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model, Thermal Science, 20 (2016), 763-769. Google Scholar

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A. H. Arnous, M. Z. Ullah, M. Asma, S. P. Moshokoa, Q. Zhou, M. Mirzazadeh, A. Biswas and M. Belic, Dark and singular dispersive optical solitons of Schr$ \bf{\ddot o}$dinger-Hirota equation by modified simple equation method, Optik, 136 (2017), 445-450. Google Scholar

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H. M. Baskonus, T. A. Sulaiman, H. Bulut and T. Akturk, Investigations of dark, bright, combined dark-bright optical and other soliton solutions in the complex cubic nonlinear Schr$ \bf{\ddot o}$dinger equation with $\delta$-potential, Superlattices and Microstructures, 115 (2016), 19-29. Google Scholar

H. M. Baskonus, H. Bulut and T. A. Sulaiman, Investigation of various travelling wave solutions to the extended (2+1)-dimensional quantum ZK equation, The European Physical Journal Plus, 132 (2017), 482. doi: 10.1140/epjp/i2017-11778-y. Google Scholar

H. M. Baskonus, T. A. Sulaiman and H. Bulut, Dark, bright and other optical solitons to the decoupled nonlinear Schr$ \bf{\ddot o}$dinger equation arising in dual-core optical fibers, Opt Quant Electron, 50 (2018), 165. Google Scholar

H. M. Baskonus, T. A. Sulaiman and H. Bulut, Bright, dark optical and other solitons to the generalized higher-order NLSE in optical fibers, Opt Quant Electron, 50 (2018), 253. doi: 10.1007/s11082-018-1522-0. Google Scholar

I. Bendahmane, H. Triki, A. Biswas, A. S. Alshomrani, Q. Zhou, S. P. Moshokoa and M. Belic, Bright, dark and W-shaped solitons with extended nonlinear Schr$ \bf{\ddot o}$dinger's equation for odd and even higher-order terms, Superlattices Microstruct., 114 (2018), 53-61. Google Scholar

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A. Biswas, M. Ekici, A. Sonmezoglu, Q. Zhou, S. P. Moshokoa and M. Belic, Optical soliton perturbation with full nonlinearity for Kundu-Eckhaus equation by extended trial function scheme, Optik, 160 (2018), 17-23. doi: 10.1016/j.ijleo.2018.01.111. Google Scholar

A. Biswas, Q. Zhou, S. P. Moshokoa, H. Triki, M. Belic and R. T. Alqahtani, Resonant 1-soliton solution in anti-cubic nonlinear medium with perturbations, Optik, 145 (2017), 14-17. doi: 10.1016/j.ijleo.2017.07.036. Google Scholar

A. Biswas, Q. Zhou, M. Z. Ullah, H. Triki, S. P. Moshokoa and M. Belic, Optical soliton perturbation with anti-cubic nonlinearity by semi-inverse variational principle, Optik, 143 (2017), 131-134. doi: 10.1016/j.ijleo.2017.06.087. Google Scholar

A. Biswas, A. H. Kara, M. Z. Ullah, Q. Zhou, H. Triki and M. Belic, Conservation laws for cubic-quartic optical solitons in Kerr and power law media, Optik, 145 (2017), 650-654. doi: 10.1016/j.ijleo.2017.08.047. Google Scholar

A. Biswas, H. Triki, Q. Zhou, S. P. Moshokoa, M. Z. Ullah and M. Belic, Cubic-quartic optical solitons in Kerr and power law media, Commun. Theor. Phys., 144 (2017), 357-362. doi: 10.1016/j.ijleo.2017.07.008. Google Scholar

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H. Bulut, T. A. Sulaiman, H. M. Baskonus and T. Akturk, Complex acoustic gravity wave behaviors to some mathematical models arising in fluid dynamics and nonlinear dispersive media, Opt Quant Electron, 50 (2018), 19. doi: 10.1007/s11082-017-1286-y. Google Scholar

H. Bulut, T. A. Sulaiman, H. M. Baskonus, H. Rezazadeh, M. Eslami and M. Mirzazadeh, Optical solitons and other solutions to the conformable space-time fractional Fokas-Lenells equation, Optik, 127 (2018), 20-27. doi: 10.1016/j.ijleo.2018.06.108. Google Scholar

H. Bulut, T. A. Sulaiman and H. M. Baskonus, On the new soliton and optical wave structures to some nonlinear evolution equation, The European Physical Journal Plus, 132 (2017), 459. doi: 10.1140/epjp/i2017-11738-7. Google Scholar

C. Cattani, Harmonic wavelet solutions of the Schrodinger equation, International Journal of Fluid Mechanics Research, 30 (2003), 463-472. doi: 10.1615/InterJFluidMechRes.v30.i5.10. Google Scholar

C. Cattani, T. A. Sulaiman, H. M. Baskonus and H. Bulut, Solitons in an inhomogeneous Murnaghan's rod, Eur. Phys. J. Plus, 133 (2018), 228. doi: 10.1140/epjp/i2018-12085-y. Google Scholar

C. Cattani, T. A. Sulaiman, H. M. Baskonus and H. Bulut, On the soliton solutions to the Nizhnik-Novikov-Veselov and the Drinfel'd-Sokolov systems, Opt Quant Electron, 50 (2018), 138. doi: 10.1007/s11082-018-1406-3. Google Scholar

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M. Ekici, A. Sonmezoglu, Q. Zhou, S. P. Moshokoa, M. Z. Ullah, A. H. Arnous, A. Biswas and M. Belic, Analysis of optical solitons in nonlinear negative-indexed materials with anti-cubic nonlinearity, Opt. Quant. Electron., 50 (2018), 75. doi: 10.1007/s11082-018-1341-3. Google Scholar

M. Ekici, M. Mirzazadeh, A. Sonmezoglu, Q. Zhou, S. P. Moshokoa, A. Biswas and M. Belic, Dark and singular optical solitons with Kundu-Eckhaus equation by extended trial equation method and extended $G'/G$–expansion scheme, Optik, 127 (2016), 10490-10497. doi: 10.1016/j.ijleo.2016.08.074. Google Scholar

M. Ekici, M. Mirzazadeh, M. Eslami, Q. Zhou, S. P. Moshokoa, A. Biswas and M. Belic, Optical soliton perturbation with fractional-temporal evolution by first integral method with conformable fractional derivatives, Optik, 127 (2016), 10659-10669. doi: 10.1016/j.ijleo.2016.08.076. Google Scholar

A. Esen, T. A. Sulaiman, H. Bulut and H. M. Baskonus, Optical solitons to the space-time fractional (1+1)-dimensional coupled nonlinear Schr$ \bf{\ddot o}$dinger equation, Optik, 167 (2018), 150-156. Google Scholar

M. Eslami, M. Mirzazadeh, B. F. Vajargah and A. Biswas, Optical solitons for the resonant nonlinear Schr$ \bf{\ddot o}$dinger's equation with time-dependent coefficients by the first integral method, Optik, 125 (2014), 3107-3116. Google Scholar

M. Eslami and M. Mirzazadeh, Optical solitons with Biswas-Milovic equation for power law and dual-power law nonlinearities, Nonlinear Dyn., 83 (2016), 731-738. doi: 10.1007/s11071-015-2361-1. Google Scholar

M. Eslami, Soliton-like solutions for the coupled Schrodinger-Boussinesq equation, Optik, 126 (2016), 3987-3991. doi: 10.1016/j.ijleo.2015.07.197. Google Scholar

M. Eslami, Trial solution technique to chiral nonlinear Schr$ \bf{\ddot o}$dinger equation in (1+2)-dimensions, Nonlinear Dyn., 85 (2016), 813-816. doi: 10.1007/s11071-016-2724-2. Google Scholar

M. Eslami, H. Rezazadeh, M. Rezazadeh and S. S. Mosavi, Exact solutions to the space-time fractional Schr$ \bf{\ddot o}$dinger-Hirota equation and the space-time modified KDV-Zakharov-Kuznetsov equation, Optical and Quantum Electronics, 49 (2017), 279. Google Scholar

M. Eslami and H. Rezazadeh, The first integral method for Wu-Zhang system with conformable time-fractional derivative, Calcolo, 53 (2016), 475-485. doi: 10.1007/s10092-015-0158-8. Google Scholar

O. A. Ilhan, H. Bulut, T. A. Sulaiman and H. M. Baskonus, Dynamic of solitary wave solutions in some nonlinear pseudoparabolic models and Dodd-Bullough-Mikhailov equation, Indian Journal of Physics, 92 (2018), 999-1007. doi: 10.1007/s12648-018-1187-3. Google Scholar

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J. Manafian, Optical soliton solutions for Schrdinger type nonlinear evolution equations by the $tan(\varphi/2)$-expansion method, Optik, 127 (2016), 4222-4245. Google Scholar

J. Manafian and M. F. Aghdaei, Abundant soliton solutions for the coupled Schr$ \bf{\ddot o}$dinger-Boussinesq system via an analytical method, The European Physical Journal Plus, 131 (2016), 97. Google Scholar

M. Mirzazadeh, M. Ekici, A. Sonmezoglu, M. Eslami, Q. Zhou, E. Zerrad, A. Biswas and M. Belic, Optical Solitons in Nano-Fibers with Fractional Temporal Evolution, Journal of Computational and Theoretical Nanoscience, 13 (2016), 5361-5374. doi: 10.1166/jctn.2016.5425. Google Scholar

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A. Sardar, K. Ali, S. T.R. Rizvi, M. Younis, Q. Zhou, E. Zerrad, A. Biswas and A. Bhrawy, Dispersive optical solitons in nanofibers with Schr$ \bf{\ddot o}$dinger-Hirota equation, Journal of Nanoelectronics and Optoelectronics, 11 (2016), 382-387. Google Scholar

M. Savescu, A. H. Bhrawy, E. M. Hilal, A. A. Alshaery and A. Biswas, Optical solitons in birefringent fibers with four-wave mixing for Kerr law nonlinearity, Rom. J. Phys., 59 (2014), 582-589. Google Scholar

A. R. Seadawy, Modulation instability analysis for the generalized derivative higher order nonlinear Shr$ \bf{\ddot o}$dinger equation and its the bright and dark soliton solutions, Journal of Electromagnetic Waves and Applications, 31 (2017), 1353-1362. Google Scholar

A. R. Seadawy and D. Lu, Bright and dark solitary wave soliton solutions for the generalized higher order nonlinear Shr$ \bf{\ddot o}$dinger equation and its stability, Results Phys., 7 (2017), 43-48. Google Scholar

T. A. Sulaiman, T. Akturk, H. Bulut and H. M. Baskonus, Investigation of various soliton solutions to the Heisenberg ferromagnetic spin chain equation, Journal of Electromagnetic Waves and Applications, 32 (2018), 1093-1105. doi: 10.1080/09205071.2017.1417919. Google Scholar

H. Triki and A. M. Wazwaz, New solitons and periodic wave solutions for the (2+1)-dimensional Heisenberg ferromagnetic spin chain equation, Journal of Electromagnetic Waves and Applications, 30 (2016), 788-794. doi: 10.1080/09205071.2016.1153986. Google Scholar

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A. Yokus, H. M. Baskonus, T. A. Sulaiman and H. Bulut, Numerical simulation and solutions of the two-component second order KdV evolutionary system, Numer Methods Partial Differential Eq., 34 (2018), 211-227. doi: 10.1002/num.22192. Google Scholar

M. Younis, N. Cheemaa, S. A. Mahmood and S. T. R. Rizvi, On optical solitons: The chiral nonlinear Schr$ \bf{\ddot o}$dinger equation with perturbation and Bohm potential, Opt Quant Electron, 48 (2016), 542. Google Scholar

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Q. Zhou and A. Biswas, Optical solitons in parity-time-symmetric mixed linear and nonlinear lattice with non-Kerr law nonlinearity, Superlattices Microstruct., 109 (2017), 588-598. doi: 10.1016/j.spmi.2017.05.049. Google Scholar

Q. Zhou, A. Sonmezoglu, M. Ekici and M. Mirzazadeh, Optical solitons of some fractional differential equations in nonlinear optics, J. Mod. Opt., 64 (2017), 2345-2349. doi: 10.1080/09500340.2017.1357856. Google Scholar

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Q. Zhou, C. Wei, H. Zhang, J. Lu, H. Yu, P. Yao and Q. Zhu, Exact solutions to the resonant nonlinear schr$ \bf{\ddot o}$dinger equation with both spatio-temporal and inter-modal dispersions, Proc. Rom. Acad. Ser. A, 17 (2016), 307-313. Google Scholar