The unified method for conformable time fractional Schro¨dinger equation with perturbation terms

Chen, 2018, Exact solutions to fractional drinfel’d-sokolov-wilson equations, Chin. J. Phys., 56, 708, 10.1016/j.cjph.2018.01.010

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

Choi, 2017, Soliton solutions for the space-time nonlinear partial differential equations with fractional-orders, Chin. J. Phys., 55, 556, 10.1016/j.cjph.2016.10.019

Sarwar, 2018, Stability analysis, dynamical behavior and analytical solutions of nonlinear fractional differential system arising in chemical reaction, Chin. J. Phys., 56, 374, 10.1016/j.cjph.2017.11.009

Hosseini, 2017, Bright and singular soliton solutions of the conformable time-fractional Klein–Gordon equations with different nonlinearities, Waves Random Complex

Hosseini, 2017, On a new technique for solving the nonlinear conformable time-fractional differential equations, Opt. Quant. Electron., 49, 343, 10.1007/s11082-017-1178-1

Hosseini, 2018, Density-dependent conformable space-time fractional diffusion-reaction equation and its exact solutions, Commun. Theor. Phys., 69, 1, 10.1088/0253-6102/69/1/1

Hosseini, 2017, A study on the conformable time-fractional Klein–Gordon equations with quadratic and cubic nonlinearities, Optoelectron. Adv. Mat., 11, 423

Hosseini, 2018, New optical solitons of cubic-quartic nonlinear Schrödinger equation, Optik., 157, 1101, 10.1016/j.ijleo.2017.11.124

Hosseini, 2017, New exact traveling wave solutions of the unstable nonlinear Schrödinger equations, Commun. Theor. Phys., 68, 761, 10.1088/0253-6102/68/6/761

Hosseini, 2018, Resonant optical solitons with perturbation terms and fractional temporal evolution using improved tan (ϕ(η)/2)-expansion method and exp function approach, Optik, 158, 933, 10.1016/j.ijleo.2017.12.139

Kaplan, 2018, Optical soliton solutions of the cubic-quintic non-linear Schrödinger’s equation including an anti-cubic term, J. Mod. Opt., 10.1080/09500340.2018.1442509

Feng, 2002, The first-integral method to study the burgers-korteweg-de vries equation, J. Phys. A Math. Gen., 35, 343, 10.1088/0305-4470/35/2/312

Feng, 2003, The first integral method to the two-dimensional burgers-korteweg-de vries equation, Phys. Lett. A, 308, 173, 10.1016/S0375-9601(03)00016-1

Raslan, 2008, The first integral method for solving some important nonlinear partial differential equations, Nonlinear Dyn., 53, 281, 10.1007/s11071-007-9262-x

Eslami, 2014, Application of first integral method to fractional partial differential equations, Indian J. Phys., 88, 177, 10.1007/s12648-013-0401-6

Taghizadeh, 2011, The first integral method to some complex nonlinear partial differential equations, J. Comput. Appl. Math., 235, 4871, 10.1016/j.cam.2011.02.021

Baleanu, 2015, The first integral method for the (3+ 1)-dimensional modified korteweg-de vries-zakharov-kuznetsov and hirota equations, Romanian, 60, 111

Taşcan, 2010, Applications of the first integral method to nonlinear evolution equations, Chin. Phys. B, 19, 080201, 10.1088/1674-1056/19/8/080201

Bekir, 2015, The first integral method for exact solutions of nonlinear fractional differential equations, J. Comput. Nonlinear Dyn., 10, 021020, 10.1115/1.4028065

Younis, 2013, The first integral method for time-space fractional differential equations, J. Adv., 2, 220

Güner, 2015, Singular and non-topological soliton solutions for nonlinear fractional differential equations, Chin. Phys. B, 24, 100201, 10.1088/1674-1056/24/10/100201

Güner, 2016, Bright and dark soliton solutions for some nonlinear fractional differential equations, Chin. Phys. B, 25, 030203, 10.1088/1674-1056/25/3/030203

Bekir, 2012, Bright and dark soliton solutions for variable-coefficient diffusion-reaction and modified korteweg-de vries equations, Phys. Scr., 85, 035009, 10.1088/0031-8949/85/03/035009

Korkmaz, 2017, Exact solutions of space-time fractional EW and modified EW equations, Chaos Solitons Fractals, 96, 132, 10.1016/j.chaos.2017.01.015

Güner, 2017, Tanh-type and sech-type solitons for some space-time fractional PDE models, EPJ Plus, 132, 92

Wazwaz, 2004, A sine-cosine method for handling nonlinear wave equations, Math. Comput. Model, 40, 499, 10.1016/j.mcm.2003.12.010

Korkmaz, 2017, Exact solutions of a nonlinear conformable time-fractional parabolic equation with exponential nonlinearity using reliable methods, Opt. Quant. Electron., 49, 278, 10.1007/s11082-017-1116-2

Raslan, 2017, Exact solution of space-time fractional coupled EW and coupled MEW equations using modified kudryashov method, Commun. Theor. Phys., 68, 49, 10.1088/0253-6102/68/1/49

Korkmaz, 2017, Exact solutions to (3+ 1) conformable time fractional jimbo-miwa, zakharov-kuznetsov and modified zakharov-kuznetsov equations, Commun. Theor. Phys., 67, 479, 10.1088/0253-6102/67/5/479

Biswas, 2017, Optical solitons with quadratic-cubic nonlinearity by semi-inverse variational principle, Optik, 139, 16, 10.1016/j.ijleo.2017.03.111

Khalil, 2014, A new definition of fractional derivative, J. Comput. Appl. Math., 264, 65, 10.1016/j.cam.2014.01.002

Abdeljawad, 2015, On conformable fractional calculus, J. Comput. Appl. Math., 279, 57, 10.1016/j.cam.2014.10.016

Ekici, 2016, Optical soliton perturbation with fractional-temporal evolution by first integral method with conformable fractional derivatives, Optik, 127, 10659, 10.1016/j.ijleo.2016.08.076

Eslami, 2016, The first integral method for wu-zhang system with conformable time-fractional derivative, Calcolo, 53, 475, 10.1007/s10092-015-0158-8

Eslami, 2017, The first integral method applied to the bogoyavlenskii equations by means of conformable fractional derivative, Opt. Quant. Electron., 49, 391, 10.1007/s11082-017-1224-z

Khodadad, 2017, Soliton solutions of the conformable fractional zakharov-kuznetsov equation with dual-power law nonlinearity, Opt. Quant. Electron., 49, 384, 10.1007/s11082-017-1225-y

Rezazadeh, 2018, Mitigating internet bottleneck with fractional temporal evolution of optical solitons having quadratic-cubic nonlinearity, Optik, 164, 84, 10.1016/j.ijleo.2018.03.006

Rezazadeh, 2018, Traveling wave solutions for density-dependent conformable fractional diffusion-reaction equation by the first integral method and the improved tan(12φ) -expansion method, Opt. Quant. Electron., 50, 121, 10.1007/s11082-018-1388-1

Rezazadeh, 2018, Traveling wave solution of conformable fractional generalized reaction duffing model by generalized projective riccati equation method, Opt. Quant. Electron., 50, 150, 10.1007/s11082-018-1416-1

Eslami, 2017, Exact solutions to the space-time fractional Schro¨dinger-Hirota equation and the space-time modified KDV-zakharov-kuznetsov equation, Opt. Quant. Electron., 49, 279, 10.1007/s11082-017-1112-6

Rezazadeh, 2017, New structure for exact solutions of nonlinear time fractional sharma-tasso-olver equation via conformable fractional derivative, Appl. Appl. Math. Int. J., 12, 13

Aminikhah, 2016, Sub-equation method for the fractional regularized long-wave equations with conformable fractional derivatives, Sci. Iran., 23, 1048

Abdel-Gawad, 2016, Dynamic of DNA’s possible impact on its damage, Math. Methods Appl. Sci., 39, 168, 10.1002/mma.3466

Abdel-Gawad, 2015, On shallow water waves in a medium with time-dependent dispersion and nonlinearity coefficients, JARE, 6, 593

Osman, 2017, Analytical study of rational and double-soliton rational solutions governed by the kdv-sawada-kotera-ramani equation with variable coefficients, Nonlinear Dyn., 89, 2283, 10.1007/s11071-017-3586-y

Osman, 2015, Multi-wave solutions of the (2+1)-dimensional nizhnik-novikov-veselov equations with variable coefficients, EPJ Plus, 130, 215

Osman, 2017, Nonlinear interaction of solitary waves described by multi-rational wave solutions of the (2+1)-dimensional kadomtsev-petviashvili equation with variable coefficients, Nonlinear Dyn., 87, 1209, 10.1007/s11071-016-3110-9

Osman, 2016, Multi-soliton rational solutions for some nonlinear evolution equations, Open Phys., 14, 26, 10.1515/phys-2015-0056

Osman, 2018, An efficient algorithm to construct multi-soliton rational solutions of the (2+1)-dimensional kdv equation with variable coefficients, Appl. Math. Comput., 321, 282

Osman, 2018, On complex wave solutions governed by the 2d ginzburg-landau equation with variable coefficients, Optik, 156, 169, 10.1016/j.ijleo.2017.10.127

Osman, 2018, On nonautonomous complex wave solutions described by the coupled Schrödinger-Boussinesq equation with variable-coefficients, Opt. Quant. Electron., 50, 73, 10.1007/s11082-018-1346-y

Abdel-Gawad, 2013, On the variational approach for analyzing the stability of solutions of evolution equations, Kyungpook Math. J., 53, 661, 10.5666/KMJ.2013.53.4.680

Osman, 2017, Multiwave solutions of time-fractional (2+1)-dimensional nizhnik-novikov-veselov equations, Pramana, 88, 67, 10.1007/s12043-017-1374-3

Zhang, 2009, Travelling wave solutions for the generalized zakharov-kuznetsov equation with higher-order nonlinear terms, Appl. Math. Comput., 208, 144, 10.1016/j.cam.2010.05.023