This work is licensed under the Creative Commons Attribution 4.0 International License.
Gandarias, M. L., & Bruzón, M. S., Conservation laws for a Boussinesq equation. Applied Mathematics and Nonlinear Sciences, 2(2), 465–472, 2017.GandariasM. L.BruzónM. S.Conservation laws for a Boussinesq equation22465472201710.21042/AMNS.2017.2.00037Search in Google Scholar
Moleleki, L. D., Motsepa, T., & Khalique, C. M., Solutions and conservation laws of a generalized second extended (3+ 1)-dimensional Jimbo-Miwa equation. Applied Mathematics and Nonlinear Sciences, 3(2), 459–474, 2018.MolelekiL. D.MotsepaT.KhaliqueC. M.Solutions and conservation laws of a generalized second extended (3+ 1)-dimensional Jimbo-Miwa equation32459474201810.2478/AMNS.2018.2.00036Search in Google Scholar
Mingliang, W., Li, X. and Zhang. J., The (G′/G)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics, Physics Letters A372.4,417–423, 2008.MingliangW.LiX.ZhangJ.The (G′/G)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics4417423200810.1016/j.physleta.2007.07.051Search in Google Scholar
Zhang, S., Tong, J. L., Wang, W., A generalized (G′ G)-expansion method for the mKdV equation with variable coefficients. Physics Letters A, 372(13), 2254–2257, 2008.ZhangS.TongJ. L.WangW.A generalized (G′ G)-expansion method for the mKdV equation with variable coefficients3721322542257200810.1016/j.physleta.2007.11.026Search in Google Scholar
Zhang, J., Wei, X., & Lu, Y., A generalized (G′ G)-expansion method and its applications. Physics Letters A, 372(20), 3653–3658, 2008.ZhangJ.WeiX.LuY.A generalized (G′ G)-expansion method and its applications3722036533658200810.1016/j.physleta.2008.02.027Search in Google Scholar
Khalique, C. M., & Mhlanga, I. E., Travelling waves and conservation laws of a (2+ 1)-dimensional coupling system with Kortewegde Vries equation. Applied Mathematics and Nonlinear Sciences, 3(1), 241–254, 2018.KhaliqueC. M.MhlangaI. E.Travelling waves and conservation laws of a (2+ 1)-dimensional coupling system with Kortewegde Vries equation31241254201810.21042/AMNS.2018.1.00018Search in Google Scholar
Kumar, D., Hosseini, K., Samadani, F., The sine-Gordon expansion method to look for the traveling wave solutions of the Tzitzéica type equations in nonlinear optics. Optik, 149, 439–446, 2017.KumarD.HosseiniK.SamadaniF.The sine-Gordon expansion method to look for the traveling wave solutions of the Tzitzéica type equations in nonlinear optics149439446201710.1016/j.ijleo.2017.09.066Search in Google Scholar
Yel, G., Baskonus, H. M., & Bulut, H., Novel archetypes of new coupled Konno–Oono equation by using sine–Gordon expansion method. Optical and Quantum Electronics, 49(9), 285, 2017.YelG.BaskonusH. M.BulutH.Novel archetypes of new coupled Konno–Oono equation by using sine–Gordon expansion method499285201710.1007/s11082-017-1127-zSearch in Google Scholar
Baskonus, H. M., & Bulut, H., New complex exact travelling wave solutions for the generalized-Zakharov equation with complex structures. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 6(2), 141–150, 2016.BaskonusH. M.BulutH.New complex exact travelling wave solutions for the generalized-Zakharov equation with complex structures62141150201610.11121/ijocta.01.2016.00295Search in Google Scholar
Eskitaşçıoğglu, E. İ., Aktaş, M. B., & Baskonus, H. M., New Complex and Hyperbolic Forms for Ablowitz–Kaup–Newell–Segur Wave Equation with Fourth Order. Applied Mathematics and Nonlinear Sciences, 4(1), 105–112, 2019.EskitaşçıoğgluE. İ.AktaşM. B.BaskonusH. M.New Complex and Hyperbolic Forms for Ablowitz–Kaup–Newell–Segur Wave Equation with Fourth Order41105112201910.2478/AMNS.2019.1.00010Search in Google Scholar
Baskonus, H. M., Bulut, H., Sulaiman, T. A., New Complex Hyperbolic Structures to the Lonngren-Wave Equation by Using Sine-Gordon Expansion Method. Applied Mathematics and Nonlinear Sciences, 4(1), 141–150, 2019.BaskonusH. M.BulutH.SulaimanT. A.New Complex Hyperbolic Structures to the Lonngren-Wave Equation by Using Sine-Gordon Expansion Method41141150201910.2478/AMNS.2019.1.00013Search in Google Scholar
Gurefe, Y., Misirli, E., Sonmezoglu, A., Ekici, M., Extended trial equation method to generalized nonlinear partial differential equations. Applied Mathematics and Computation, 219(10), 5253–5260, 2013.GurefeY.MisirliE.SonmezogluA.EkiciM.Extended trial equation method to generalized nonlinear partial differential equations2191052535260201310.1016/j.amc.2012.11.046Search in Google Scholar
Ekici, M., Mirzazadeh, M., Sonmezoglu, A., Ullah, M. Z., Zhou, Q., Triki, H., Biswas, A. Optical solitons with anti-cubic nonlinearity by extended trial equation method. Optik, 136, 368–373, 2017.EkiciM.MirzazadehM.SonmezogluA.UllahM. Z.ZhouQ.TrikiH.BiswasA.Optical solitons with anti-cubic nonlinearity by extended trial equation method136368373201710.1016/j.ijleo.2017.02.004Search in Google Scholar
Bulut, H. Akturk, T. and Gurefe, Y., Traveling wave solutions of the (N+1)- dimensional sine-cosine-Gordon equation, AIP Conference Proceedings, Vol. 1637, 145–149, 2014.BulutH.AkturkT.GurefeY.Traveling wave solutions of the (N+1)- dimensional sine-cosine-Gordon equation1637145149201410.1063/1.4904573Search in Google Scholar
Bulut, H., Akturk, T. and Gurefe, Y., An application of the new function method to the generalized double sinh-Gordon equation., AIP Conference Proceedings, 1648(1):pp. 4, 2015.BulutH.AkturkT.GurefeY.An application of the new function method to the generalized double sinh-Gordon equation164814201510.1063/1.4912603Search in Google Scholar
Darvishi, M., Najafi, M., Kavitha, L., & Venkatesh, M., Stair and Step Soliton Solutions of the Integrable (2+1) and (3+1)-Dimensional Boiti—Leon—Manna—Pempinelli Equations. Communications in Theoretical Physics, 58(6), 785, 2012.DarvishiM.NajafiM.KavithaL.VenkateshM.Stair and Step Soliton Solutions of the Integrable (2+1) and (3+1)-Dimensional Boiti—Leon—Manna—Pempinelli Equations586785201210.1088/0253-6102/58/6/01Search in Google Scholar
Mabrouk, S. M., & Rashed, A. S., Analysis of (3+ 1)-dimensional Boiti–Leon–Manna–Pempinelli equation via Lax pair investigation and group transformation method. Computers & Mathematics with Applications, 74(10), 2546–2556, 2017.MabroukS. M.RashedA. S.Analysis of (3+ 1)-dimensional Boiti–Leon–Manna–Pempinelli equation via Lax pair investigation and group transformation method741025462556201710.1016/j.camwa.2017.07.033Search in Google Scholar
Mohamed R. Ali and Wen-Xiu Ma, New Exact Solutions of Nonlinear (3 + 1)-Dimensional Boiti-Leon-Manna-Pempinelli Equation, Advances in Mathematical Physics, 1–7, Article ID 9801638, 2019.AliMohamed R.MaWen-XiuNew Exact Solutions of Nonlinear (3 + 1)-Dimensional Boiti-Leon-Manna-Pempinelli Equation17Article ID 9801638,201910.1155/2019/9801638Search in Google Scholar
Jia, S. L., Gao, Y. T., Hu, L., Huang, Q. M., & Hu, W. Q., Soliton-like, periodic wave and rational solutions for a (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation in the incompressible fluid. Superlattices and Microstructures, 102, 273–283, 2017.JiaS. L.GaoY. T.HuL.HuangQ. M.HuW. Q.Soliton-like, periodic wave and rational solutions for a (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation in the incompressible fluid102273283201710.1016/j.spmi.2016.12.019Search in Google Scholar
Guner, O., New exact solution for (2+ 1) and (3+ 1) dimensional nonlinear partial differential equations. Aksaray University Journal of Science and Engineering, 2(2), 161–170, 2018.GunerO.New exact solution for (2+ 1) and (3+ 1) dimensional nonlinear partial differential equations22161170201810.29002/asujse.422554Search in Google Scholar
Yongyı G., The exp(-(z))-expansion method for (3+1)-dimensional generalized Boiti-Leon-MannaPempinelli equation, IJRDO - Journal of Mathematics, 4(12), 2018.YongyıG.The exp(-(z))-expansion method for (3+1)-dimensional generalized Boiti-Leon-MannaPempinelli equation4122018Search in Google Scholar
Hongcai M., Yongbin B. and Aiping D., Exact three-wave solutions for the (3 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation, Advances in Difference Equations, 2013(??), 2013.HongcaiM.YongbinB.AipingD.Exact three-wave solutions for the (3 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation2013(??),201310.1155/2013/784134Search in Google Scholar
Baskonus, H. M., & Bulut, H., Exponential prototype structures for (2+ 1)-dimensional Boiti-Leon-Pempinelli systems in mathematical physics. Waves in Random and Complex Media, 26(2), 189–196, 2016.BaskonusH. M.BulutH.Exponential prototype structures for (2+ 1)-dimensional Boiti-Leon-Pempinelli systems in mathematical physics262189196201610.1080/17455030.2015.1132860Search in Google Scholar
Yokus, A., Sulaiman, T. A., Gulluoglu, M. T., & Bulut, H., Stability analysis, numerical and exact solutions of the (1+1)-dimensional NDMBBM equation. In ITM Web of Conferences (Vol. 22, p. 01064). EDP Sciences, 2018.YokusA.SulaimanT. A.GulluogluM. T.BulutH.Stability analysis, numerical and exact solutions of the (1+1)-dimensional NDMBBM equationInITM Web of Conferences2201064201810.1051/itmconf/20182201064Search in Google Scholar
Pandey, P. K., A new computational algorithm for the solution of second order initial value problems in ordinary differential equations. Applied Mathematics and Nonlinear Sciences, 3(1), 167–174, 2018.PandeyP. K.A new computational algorithm for the solution of second order initial value problems in ordinary differential equations31167174201810.21042/AMNS.2018.1.00013Search in Google Scholar
El-Shaboury, S. M., Ammar, M. K., & Yousef, W. M., Analytical solutions of the relative orbital motion in unperturbed and in J2-perturbed elliptic orbits. Applied Mathematics and Nonlinear Sciences, 2(2), 403–414, 2017.El-ShabouryS. M.AmmarM. K.YousefW. M.Analytical solutions of the relative orbital motion in unperturbed and in J2-perturbed elliptic orbits22403414201710.21042/AMNS.2017.2.00032Search in Google Scholar
Cattani C., Haar wavelet splines, Journal of Interdisciplinary Mathematicss, 4 (1), 35–47, 2001.CattaniC.Haar wavelet splines413547200110.1080/09720502.2001.10700287Search in Google Scholar
Heydari, M. H., Hooshmandasl, M. R., Ghaini, F. M., & Cattani, C., A computational method for solving stochastic Itô–Volterra integral equations based on stochastic operational matrix for generalized hat basis functions. Journal of Computational Physics, 270, 402–415, 2014.HeydariM. H.HooshmandaslM. R.GhainiF. M.CattaniC.A computational method for solving stochastic Itô–Volterra integral equations based on stochastic operational matrix for generalized hat basis functions270402415201410.1016/j.jcp.2014.03.064Search in Google Scholar
Cattani, C., Connection coefficients of Shannon wavelets. Mathematical Modelling and Analysis, 11(2), 117–132, 2006.CattaniC.Connection coefficients of Shannon wavelets112117132200610.3846/13926292.2006.9637307Search in Google Scholar
Cattani, C., & Rushchitskii, Y. Y., Cubically nonlinear elastic waves: wave equations and methods of analysis. International applied mechanics, 39(10), 1115–1145, 2003.CattaniC.RushchitskiiY. Y.Cubically nonlinear elastic waves: wave equations and methods of analysis391011151145200310.1023/B:INAM.0000010366.48158.48Search in Google Scholar
Heydari, M. H., Hooshmandasl, M. R., Ghaini, F. M., & Cattani, C., Wavelets method for solving fractional optimal control problems. Applied Mathematics and Computation, 286, 139–154, 2016.HeydariM. H.HooshmandaslM. R.GhainiF. M.CattaniC.Wavelets method for solving fractional optimal control problems286139154201610.1016/j.amc.2016.04.009Search in Google Scholar
Cattani, C., Harmonic wavelet solutions of the Schrodinger equation. International Journal of Fluid Mechanics Research, 30(5), 2003.CattaniC.Harmonic wavelet solutions of the Schrodinger equation305200310.1615/InterJFluidMechRes.v30.i5.10Search in Google Scholar
Amkadni, M., Azzouzi, A., & Hammouch, Z., On the exact solutions of laminar MHD flow over a stretching flat plate. Communications in Nonlinear Science and Numerical Simulation, 13(2), 359–368, 2008.AmkadniM.AzzouziA.HammouchZ.On the exact solutions of laminar MHD flow over a stretching flat plate132359368200810.1016/j.cnsns.2006.04.002Search in Google Scholar
Bulut, H., Aktürk, T., Yel, G., An Application of the Modified Expansion Method to Nonlinear Partial Differential Equation, Turk. J. Math. Comput. Sci., 10, 202–206, 2018.BulutH.AktürkT.YelG.An Application of the Modified Expansion Method to Nonlinear Partial Differential Equation102022062018Search in Google Scholar
Baskonus, H. M, Bulut, H. Analytical Studies on the (1+1)-dimensional Nonlinear Dispersive Modified Benjamin-Bona-Mahony Equation Defined by Seismic Sea Waves, Wavesin Random and Complex Media, 25(4), 576–586, 2015.BaskonusH. MBulutH.Analytical Studies on the (1+1)-dimensional Nonlinear Dispersive Modified Benjamin-Bona-Mahony Equation Defined by Seismic Sea Waves254576586201510.1080/17455030.2015.1062577Search in Google Scholar
Baskonus, H. M., Bulut, H., Atangana, A., On the complex and hyperbolic structures of the longitudinal wave equation in a magneto-electro-elastic circular rod. Smart Materials and Structures, 25(3), 035022, 2016.BaskonusH. M.BulutH.AtanganaA.On the complex and hyperbolic structures of the longitudinal wave equation in a magneto-electro-elastic circular rod253035022,201610.1088/0964-1726/25/3/035022Search in Google Scholar
He, J. H., Wu, X. H., Exp-function method for nonlinear wave equations, Chaos, Solitons & Fractals, 30(3), 700–708, 2006.HeJ. H.WuX. H.Exp-function method for nonlinear wave equations303700708200610.1016/j.chaos.2006.03.020Search in Google Scholar
Weisstein, E. W., CRC concise encyclopedia of mathematics. Chapman and Hall/CRC, 2002.WeissteinE. W.Chapman and Hall/CRC200210.1201/9781420035223Search in Google Scholar