دانشگاه تبریز
فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری
پایگاه استنادی علوم جهان اسلام (ISC)

 آمار

تعداد نشریات45
تعداد شماره‌ها1,548
تعداد مقالات18,869
تعداد مشاهده مقاله63,034,245
تعداد دریافت فایل اصل مقاله22,921,760
Lakestani, Mehrdad, Manafian, Jalil, Najafizadeh, Ali Reza, Partohaghighi, Mohammad. (1401). Some new soliton solutions for the nonlinear the fifth-order integrable equations. سامانه مدیریت نشریات علمی, 10(2), 445-460. doi: 10.22034/cmde.2020.30833.1462
Mehrdad Lakestani; Jalil Manafian; Ali Reza Najafizadeh; Mohammad Partohaghighi. "Some new soliton solutions for the nonlinear the fifth-order integrable equations". سامانه مدیریت نشریات علمی, 10, 2, 1401, 445-460. doi: 10.22034/cmde.2020.30833.1462
Lakestani, Mehrdad, Manafian, Jalil, Najafizadeh, Ali Reza, Partohaghighi, Mohammad. (1401). 'Some new soliton solutions for the nonlinear the fifth-order integrable equations', سامانه مدیریت نشریات علمی, 10(2), pp. 445-460. doi: 10.22034/cmde.2020.30833.1462
Lakestani, Mehrdad, Manafian, Jalil, Najafizadeh, Ali Reza, Partohaghighi, Mohammad. Some new soliton solutions for the nonlinear the fifth-order integrable equations. سامانه مدیریت نشریات علمی, 1401; 10(2): 445-460. doi: 10.22034/cmde.2020.30833.1462

Some new soliton solutions for the nonlinear the fifth-order integrable equations

Computational Methods for Differential Equations
مقاله 12، دوره 10، شماره 2، تیر 2022، صفحه 445-460    اصل مقاله (325.57 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2020.30833.1462
نویسندگان
Mehrdad Lakestani1؛ Jalil Manafian* 1؛ Ali Reza Najafizadeh2؛ Mohammad Partohaghighi3
1Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
2Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.
3Department of Mathematics, University of Bonab, Bonab, Iran.
چکیده
‎In this work‎, ‎we established some exact solutions for the‎ $(1+1)$-dimensional and $(2+1)$-dimensional fifth-order integrable‎ equations ($(1+1)$D and $(2+1)$D FOIEs) which is considered based on‎ the improved $\tanh(\phi(\xi)/2)$ expansion method (IThEM)‎, ‎by‎ utilizing Maple software‎. ‎We obtained new periodic solitary wave‎ ‎solutions‎. ‎The obtained solutions include soliton‎, ‎periodic‎, ‎kink‎, kink-singular wave solutions‎. ‎Comparing our new results with Wazwaz‎ results‎, ‎namely‎, ‎the Hereman-Nuseri method shows that our results give‎ further solutions‎. ‎Many other such types of nonlinear equations‎ arise in fluid dynamics‎, ‎plasma ‎physics,‎ and nonlinear physics‎.
کلیدواژه‌ها
Improved tanh(ϕ/2)-expansion method؛ Fifth-order integrable equations؛ Soliton wave solution
مراجع
  • [1]          M. F. Aghdaei and J. Manafian, Optical soliton wave solutions to the resonant Davey-Stewartson system, Opt. Quant. Elec., 48 (2016), 1-33.
  • [2]          H. M. Baskonus, H. Bulut, and A. Atangana, On the complex and hyperbolic structures of longitudinal wave equation in a magneto-electro-elastic circular rod, Smart Materials and Structures, 25 (2016), 035022.
  • [3]          H. M. Baskonus and H. Bulut, New wave behaviors of the system of equations for the ion sound  and  Langmuir  Waves, Waves in Random and Complex Media, (2016) doi.org/10.1080/17455030.2016.1181811.
  • [4]          H. M. Baskonus and H. Bulut, Exponential prototype  structures  for  (2+1)-dimensional  Boiti-Leon-Pempinelli systems in mathematical physics, Waves in Random and Complex Media, 26 (2016), 201-208.
  • [5]          H. M. Baskonus, D. A. Koç, and H. Bulut, New travelling wave prototypes to the nonlinear Zakharov-Kuznetsov equation with power law nonlinearity, Nonlinear Sci. Lett. A, 7 (2016), 67-76.
  • [6]          A. Biswas, M. Ekici, A. Sonmezoglu, F. B. Majid, H. Triki, Q. Zhou, S. P. Moshokoa, and M. Belic, Optical soliton perturbation for Gerdjikov-Ivanov equation by extended trial equation method, Optik 158 (2018), 747-752.
  • [7]          A. Biswas, M. Ekici, A. Sonmezoglu, H. Triki, Q. Zhou, S. P. Moshokoa, and M. Belic, Dispersive optical solitons with differential group delay by extended trial equation method, Optik, 158 (2018), 790-798.
  • [8]          H. Bulut and H. M. Baskonus, New complex  hyperbolic  function  solutions  for  the  (2+1)-dimensional  dispersive long water-wave system, Math. Comput. Appl., 21 (2016), 6.
  • [9]          Y. Chen and Q. Wang, Extended Jacobi elliptic function rational expansion method and abundant families of  Jacobi elliptic functions solutions to (1+1)-dimensional dispersive long wave equation, Chaos Solitons Fract., 24 (2005), 745-757.
  • [10]        M. Dehghan and J. Manafian, The solution of the variable coefficients fourth–order parabolic partial differential equations by homotopy perturbation method, Z. Naturforsch, 64a (2009), 420-430.
  • [11]        M. Dehghan, J. Manafian, and A. Saadatmandi, Solving nonlinear fractional  partial  differential  equations  using the homotopy analysis method, Num. Meth. Partial Diff.l Eq. J., 26 (2010), 448-479.
  • [12]        M. Dehghan, J. Manafian, and A. Saadatmandi, Application of semi–analytic methods for the Fitzhugh–Nagumo equation, which models the transmission of nerve impulses, Math. Meth. Appl. Sci., 33 (2010), 1384-1398.
  • [13]        M. Dehghan, J. Manafian, and A. Saadatmandi, Application of the Exp-function method for solving a partial differential equation arising in biology and population genetics, Int J. Num. Methods Heat Fluid Flow, 21 (2011), 736-753.
  • [14]        M. Ekici, Q. Zhou, A. Sonmezoglu, J. Manafian, and M. Mirzazadeh, The analytical study of solitons to the nonlinear Schrödinger equation with resonant nonlinearity, Optik, 130 (2017), 378-382.
  • [15]        M. R. Foroutan, J. Manafian, and A. Ranjbaran, Lump solution and its interaction to (3+1)-D potential-YTSF equation, Nonlinear Dyn., 92 (2018), 2077-2092.
  • [16]        A. J. M. Jawad, M. J. A. AlShaeer, F. B. Majid, A. Biswas, Q. Zhou, and M. Belic, Optical soliton perturbation with exotic non-Kerr law nonlinearities, Optik, 158 (2018), 1370-1379.
  • [17]        A. J. M. Jawad, M. D. Petković, and A. Biswas, Modified simple equation method for nonlinear evolution equations, Appl. Math. Comput., 217 (2010), 869-877.
  • [18]        J. Manafian, On the complex structures of the Biswas-Milovic equation for power, parabolic  and dual parabolic law nonlinearities, Eur. Phys. J. Plus, 130 (2015), 1-20.
  • [19]        J. Manafian, Optical soliton solutions for Schrödinger type nonlinear evolutionequations by the tan(ϕ/2)-expansion method, Optik, 127 (2016), 4222-4245.
  • [20]        J. Manafian and M. F. Aghdaei, M, Zadahmad, Analytic study of sixth-order thin-film equation by tan(ϕ/2)- expansion method, Opt. Quant. Elec., 48 (2016), 1-16.
  • [21]        J. Manafian, M. Lakestani, and A. Bekir, Comparison between the generalized tanh-coth and the G′/G-expansion methods for solving NPDEs and NODEs, Pramana-J. Phys., 87 (95), (2016) 1-14.
  • [22]        J. Manafian, M. Lakestani, and A. Bekir, Study of the analytical treatment of the (2+1)-dimensional Zoomeron, the Duffing and the SRLW equations via a new analytical approach, Int. J. Appl. Comput. Math., 2 (2016), 243-268.
  • [23]        J. Manafian and M. Lakestani, A new analytical approach to solve some the fractional-order partial differential equations, Indian J. Phys., 90 (2016), 1-16.
  • [24]        J. Manafian and M. Lakestani, Optical solitons with Biswas-Milovic equation for Kerr law nonlinearity, Eur. Phys. J. Plus, 130 (2015), 1-12.
  • [25]        J. Manafian and M. Lakestani, Application of tan(ϕ/2)-expansion method for solving the Biswas-Milovic equation for Kerr law nonlinearity, Optik, 127 (2016), 2040-2054.
  • [26]        J. Manafian and M. Lakestani, Dispersive dark optical soliton with Tzitzéica type nonlinear evolution equations arising in nonlinear optics, Opt. Quant. Elec., 48 (2016), 1-32.
  • [27]        J. Manafian and M. Lakestani, New improvement of the expansion methods for solving the generalized Fitzhugh- Nagumo equation with time-dependent coefficients, Int. J. Eng. Math., 2015 (2015), 1-35.
  • [28]        J. Manafian and M. Lakestani, Abundant soliton solutions for the Kundu Eckhaus equation via tan(ϕ/2)-expansion method, Optik, 127 (2016), 5543-5551.
  • [29]        J. Manafian and M. Lakestani, Optical soliton solutions for the Gerdjikov Ivanov model via  tan(ϕ/2)-expansion method, Optik, 127 (2016), 9603-9620.
  • [30]        J. Manafian, M. Lakestani, and A. Bekir, Application of a new analytical method for the Richards’ equation, based on the Brooks and Corey model, J. Porous Media, 19(11) (2016), 975-991.
  • [31]        J. Manafian and M. Lakestani, Solitary wave and periodic wave solutions for Burgers, Fisher, Huxley and combined forms of these equations by the G′/G-expansion method, Pramana- J. Phys., 130 (2015), 31-52.
  • [32]        J. Manafian, M. Lakestani, and A. Bekir, Comparison between the generalized tanh-coth and the G′/G-expansion methods for solving NPDE’s and NODE’s, Pramana . J. Phys., 87 (2016), 1-14.
  • [33]        A. Qawasmeh and M. Alquran, Reliable study of some new fifth-order nonlinear equations by means of G’/G expansion method and rational sine-cosine method, Appl. Math. Sci., 8 (2014), 5985-5994.
  • [34]        A. M. Wazwaz, A new fifth order nonlinear integrable equation: multiple soliton solutions, Physica Scripta, 83 (2011), 015012.
  • [35]        A. M. Wazwaz, A new generalized fifth order nonlinear integrable equation, Physica Scripta, 83 (2011), 035003.
  • [36]        A. M. Wazwaz, Kink solutions for three new fifth order nonlinear equations, Appl. Math. Model., 38 (2014), 110-118.
  • [37]        A. M. Wazwaz, Couplings of a fifth order nonlinear integrable equation: Multiple kink solutions, Computers Fluids, 84 (2013), 97-99.
  • [38]        A. M. Wazwaz and A. Ebaid, A study on couplings of the fifth-order integrable Sawada-Kotera and Lax equations, Rom. J. Phys., 59 (2014), 454-465.
  • [39]        X. Zhao, L. Wang, and W. Sun, The repeated homogeneous balance method and its applications to  nonlinear partial differential equations, Chaos Solitons Fract., 28 (2006), 448-453.
  • [40]        Q. Zhou, M. Ekici, A. Sonmezoglu, J. Manafian, S. Khaleghizadeh, and M. Mirzazadeh, Exact solitary wave solutions to the generalized Fisher equation, Optik, 127 (2016), 12085-12092.
آمار
تعداد مشاهده مقاله: 1,122
تعداد دریافت فایل اصل مقاله: 1,159


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب