This work is licensed under the Creative Commons Attribution 4.0 International License.
Gao Y., Zhang Z., Modelling and analysis of complex viscous fluid in thin elastic tubes, Complexity, 2020(ID:9256845), 1–10, 2020.GaoY.ZhangZ.Modelling and analysis of complex viscous fluid in thin elastic tubesComplexity2020(ID:9256845)1102020Search in Google Scholar
Dimitrova Z.I., Vitanov N.K., Water in Biomechanical and Related Systems (Chapter 12: Travelling Waves Connected to Blood Flow and Motion of Arterial Walls), 243–263, Springer, 2021.DimitrovaZ.I.VitanovN.K.Water in Biomechanical and Related Systems (Chapter 12: Travelling Waves Connected to Blood Flow and Motion of Arterial Walls)243263Springer2021Search in Google Scholar
McDonald D.A., The velocity of blood flow in the rabbit aorta studied with high-speed cinematography, The Journal of Physiology, 118(3), 328–339, 1952.McDonaldD.A.The velocity of blood flow in the rabbit aorta studied with high-speed cinematographyThe Journal of Physiology11833283391952Search in Google Scholar
Bi Y., Zhang Z., Liu Q., Liu T., Research on nonlinear waves of blood flow in arterial vessels, Communications in Nonlinear Science and Numerical Simulation, 102, 105918, 2021.BiY.ZhangZ.LiuQ.LiuT.Research on nonlinear waves of blood flow in arterial vesselsCommunications in Nonlinear Science and Numerical Simulation1021059182021Search in Google Scholar
Nikolov E., Jordanov I.P., Vitanov N.K., On nonlinear waves of the blood flow through arteries, arXiv:1701.02371, 2016.NikolovE.JordanovI.P.VitanovN.K.On nonlinear waves of the blood flow through arteriesarXiv:1701.02371,2016Search in Google Scholar
Gustafson K., Lectures on Computational Fluid Dynamics, Mathematical Physics, and Linear Algebra, World Scientific, Singapore, 1997.GustafsonK.Lectures on Computational Fluid Dynamics, Mathematical Physics, and Linear AlgebraWorld ScientificSingapore1997Search in Google Scholar
Freis E.D., Heath W.C., Hydrodynamics of aortic blood flow, Circulation Research, 14(2), 105–116, 1964.FreisE.D.HeathW.C.Hydrodynamics of aortic blood flowCirculation Research1421051161964Search in Google Scholar
Demiray H., Nonlinear waves in a thick-walled viscoelastic tube filled with an inviscid fluid, International Journal of Engineering Science, 36(3), 345–357, 1998.DemirayH.Nonlinear waves in a thick-walled viscoelastic tube filled with an inviscid fluidInternational Journal of Engineering Science3633453571998Search in Google Scholar
Demiray H., Propagation of weakly nonlinear waves in fluid-filled thick viscoelastic tubes, Applied Mathematical Modelling, 23, 779–798, 1999.DemirayH.Propagation of weakly nonlinear waves in fluid-filled thick viscoelastic tubesApplied Mathematical Modelling237797981999Search in Google Scholar
Demiray H., Dost S., Solitary waves in a thick walled elastic tube, Applied Mathematical Modelling, 22(8), 583–599, 1998.DemirayH.DostS.Solitary waves in a thick walled elastic tubeApplied Mathematical Modelling2285835991998Search in Google Scholar
Demiray H., Weakly nonlinear waves in elastic tubes filled with a layered fluid, International Journal of Nonlinear Sciences and Numerical Simulation, 3(2), 89–98, 2002.DemirayH.Weakly nonlinear waves in elastic tubes filled with a layered fluidInternational Journal of Nonlinear Sciences and Numerical Simulation3289982002Search in Google Scholar
Elgarayhi A., El-Shewy E.K., Mahmoud A.A., Elhakem A.A., Propagation of nonlinear pressure waves in blood, ISRN Computational Biology, 2013(ID:436267), 1–6, 2013.ElgarayhiA.El-ShewyE.K.MahmoudA.A.ElhakemA.A.Propagation of nonlinear pressure waves in bloodISRN Computational Biology2013(ID:436267)162013Search in Google Scholar
Abulwafa E.M., El-Shewy E.K., Mahmoud A.A., Time-fractional effect on pressure waves propagating through a fluid filled circular long elastic tube, Egyptian Journal of Basic and Applied Sciences, 3(1), 35–43, 2016.AbulwafaE.M.El-ShewyE.K.MahmoudA.A.Time-fractional effect on pressure waves propagating through a fluid filled circular long elastic tubeEgyptian Journal of Basic and Applied Sciences3135432016Search in Google Scholar
Demiray H., On some nonlinear waves in fluid-filled viscoelastic tubes: weakly dispersive case, Communications in Nonlinear Science and Numerical Simulation, 10(4), 425–440, 2005.DemirayH.On some nonlinear waves in fluid-filled viscoelastic tubes: weakly dispersive caseCommunications in Nonlinear Science and Numerical Simulation1044254402005Search in Google Scholar
Shan-Yuan Z., Tao Z., Nonlinear waves in a fluid-filled thin viscoelastic tube, Chinese Physics B, 19(11), 110302, 2010.Shan-YuanZ.TaoZ.Nonlinear waves in a fluid-filled thin viscoelastic tubeChinese Physics B19111103022010Search in Google Scholar
Womersley J.R., XXIV. On the oscillatory motion of a viscous liquid in thin-walled elastic tube-I: The linear approximation for long waves, The London Edinburgh and Dublin Philosophical Magazine and Journal of Science, 46(373), 199–221, 1955.WomersleyJ.R.XXIV. On the oscillatory motion of a viscous liquid in thin-walled elastic tube-I: The linear approximation for long wavesThe London Edinburgh and Dublin Philosophical Magazine and Journal of Science463731992211955Search in Google Scholar
Womersley J.R., Oscillatory flow in arteries: the constrained elastic tube as a model of arterial flow and pulse transmission, Physics in Medicine and Biology, 2(2), 178–187, 1957.WomersleyJ.R.Oscillatory flow in arteries: the constrained elastic tube as a model of arterial flow and pulse transmissionPhysics in Medicine and Biology221781871957Search in Google Scholar
McDonald D.A., The relation of pulsatile pressure to flow in arteries, The Journal of Physiology, 127(3), 533–552, 1955.McDonaldD.A.The relation of pulsatile pressure to flow in arteriesThe Journal of Physiology12735335521955Search in Google Scholar
Hashizume Y., Nonlinear pressure wave propagation in arteries, Journal of the Physical Society of Japan, 57(12), 4160–4168, 1988.HashizumeY.Nonlinear pressure wave propagation in arteriesJournal of the Physical Society of Japan5712416041681988Search in Google Scholar
Yomosa S., Solitary waves in large blood vessels, Journal of the Physical Society of Japan, 56(2), 506–520, 1987.YomosaS.Solitary waves in large blood vesselsJournal of the Physical Society of Japan5625065201987Search in Google Scholar
Tay G.K., Forced Korteweg-de Vries equation in an elastic tube filled with an inviscid fluid, International Journal of Engineering Science, 44(10), 621–632, 2006.TayG.K.Forced Korteweg-de Vries equation in an elastic tube filled with an inviscid fluidInternational Journal of Engineering Science44106216322006Search in Google Scholar
Tay G.K., Ong C.T., Mohamad M.N., Forced perturbed Korteweg-de Vries equation in an elastic tube filled with a viscous fluid, International Journal of Engineering Science, 45(2–8), 339–349, 2007.TayG.K.OngC.T.MohamadM.N.Forced perturbed Korteweg-de Vries equation in an elastic tube filled with a viscous fluidInternational Journal of Engineering Science452–83393492007Search in Google Scholar
Tay G.K., Demiray H., Forced Korteweg-de Vries Burgers equation in an elastic tube filled with a variable viscosity fluid, Chaos Solitons and Fractals, 38(4), 1134–1145, 2008.TayG.K.DemirayH.Forced Korteweg-de Vries Burgers equation in an elastic tube filled with a variable viscosity fluidChaos Solitons and Fractals384113411452008Search in Google Scholar
Noubissié S., Kraenkel R.A., Woafo P., Disturbance and repair of solitary waves in blood vessels with aneurysm, Communications in Nonlinear Science and Numerical Simulation, 14(1), 51–60, 2009.NoubissiéS.KraenkelR.A.WoafoP.Disturbance and repair of solitary waves in blood vessels with aneurysmCommunications in Nonlinear Science and Numerical Simulation14151602009Search in Google Scholar
Ravindran R., Prasad P., A mathematical analysis of nonlinear waves in a fluid filled visco-elastic tube, Acta Mechanica, 31(3), 253–280, 1979.RavindranR.PrasadP.A mathematical analysis of nonlinear waves in a fluid filled visco-elastic tubeActa Mechanica3132532801979Search in Google Scholar
Rezazadeh H., New solitons solutions of the complex Ginzburg-Landau equation with Kerr law nonlinearity, Optik, 167, 218–227, 2018.RezazadehH.New solitons solutions of the complex Ginzburg-Landau equation with Kerr law nonlinearityOptik1672182272018Search in Google Scholar
Akbar M.A., Akinyemi L., Yao S.W., Jhangeer A., Rezazadeh H., Khater M.M.A., Ahmad H., Inc M., Soliton solutions to the Boussinesq equation through sine-Gordon method and Kudryashov method, Results in Physics, 25, 104228, 2021.AkbarM.A.AkinyemiL.YaoS.W.JhangeerA.RezazadehH.KhaterM.M.A.AhmadH.IncM.Soliton solutions to the Boussinesq equation through sine-Gordon method and Kudryashov methodResults in Physics251042282021Search in Google Scholar
Hosseini K., Sadri K., Hinçal E., Abbasi A., Baleanu D., Salahshour S., Periodic and solitary waves of the nonlinear Konno-Oono model: generalized methods, Optical and Quantum Electronics, 55, 564, 2023.HosseiniK.SadriK.HinçalE.AbbasiA.BaleanuD.SalahshourS.Periodic and solitary waves of the nonlinear Konno-Oono model: generalized methodsOptical and Quantum Electronics555642023Search in Google Scholar
Hosseini K., Sadri K., Hinçal E., Sirisubtawee S., Mirzazadeh M., A generalized nonlinear Schrödinger involving the weak nonlocality: its Jacobi elliptic function solutions and modulational instability, Optik, 288, 171176, 2023.HosseiniK.SadriK.HinçalE.SirisubtaweeS.MirzazadehM.A generalized nonlinear Schrödinger involving the weak nonlocality: its Jacobi elliptic function solutions and modulational instabilityOptik2881711762023Search in Google Scholar
Hosseini K., Hinçal E., Ilie M., Bifurcation analysis, chaotic behaviors, sensitivity analysis, and soliton solutions of a generalized Schrödinger equation, Nonlinear Dynamics, 111, 17455–17462, 2023.HosseiniK.HinçalE.IlieM.Bifurcation analysis, chaotic behaviors, sensitivity analysis, and soliton solutions of a generalized Schrödinger equationNonlinear Dynamics11117455174622023Search in Google Scholar
Pinar Z., Rezazadeh H., Eslami M., Generalized logistic equation method for Kerr law and dual power law Schrödinger equations, Optical and Quantum Electronics, 52, 504, 2020.PinarZ.RezazadehH.EslamiM.Generalized logistic equation method for Kerr law and dual power law Schrödinger equationsOptical and Quantum Electronics525042020Search in Google Scholar
Pinar Z, Öziş T., Observations on the class of “Balancing Principle” for nonlinear PDEs that can be treated by the auxiliary equation method, Nonlinear Analysis: Real World Applications, 23, 9–16, 2015.PinarZÖzişT.Observations on the class of “Balancing Principle” for nonlinear PDEs that can be treated by the auxiliary equation methodNonlinear Analysis: Real World Applications239162015Search in Google Scholar
Taniuti T., Wei C.C., Reductive perturbation method in nonlinear wave propagation I, Journal of the Physical Society of Japan, 24(4), 941–946, 1968.TaniutiT.WeiC.C.Reductive perturbation method in nonlinear wave propagation IJournal of the Physical Society of Japan2449419461968Search in Google Scholar
Paquerot J.F., Remoissenet M., Dynamics of nonlinear pressure waves in large arteries, Physics Letters A, 194(1–2), 77–82, 1994.PaquerotJ.F.RemoissenetM.Dynamics of nonlinear pressure waves in large arteriesPhysics Letters A1941–277821994Search in Google Scholar