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

 آمار

تعداد نشریات45
تعداد شماره‌ها1,553
تعداد مقالات18,950
تعداد مشاهده مقاله63,789,713
تعداد دریافت فایل اصل مقاله23,335,827
Izgi, Zehra, Sahoo, Subhadarshan. (1405). Symmetry solutions of the fifth-order non-linear equation with temporal and spatial dispersion terms. سامانه مدیریت نشریات علمی, 14(4), 1650-1655. doi: 10.22034/cmde.2025.64858.2952
Zehra Pinar Izgi; Subhadarshan Sahoo. "Symmetry solutions of the fifth-order non-linear equation with temporal and spatial dispersion terms". سامانه مدیریت نشریات علمی, 14, 4, 1405, 1650-1655. doi: 10.22034/cmde.2025.64858.2952
Izgi, Zehra, Sahoo, Subhadarshan. (1405). 'Symmetry solutions of the fifth-order non-linear equation with temporal and spatial dispersion terms', سامانه مدیریت نشریات علمی, 14(4), pp. 1650-1655. doi: 10.22034/cmde.2025.64858.2952
Izgi, Zehra, Sahoo, Subhadarshan. Symmetry solutions of the fifth-order non-linear equation with temporal and spatial dispersion terms. سامانه مدیریت نشریات علمی, 1405; 14(4): 1650-1655. doi: 10.22034/cmde.2025.64858.2952

Symmetry solutions of the fifth-order non-linear equation with temporal and spatial dispersion terms

Computational Methods for Differential Equations
مقاله 8، دوره 14، شماره 4، دی 2026، صفحه 1650-1655    اصل مقاله (464.1 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2025.64858.2952
نویسندگان
Zehra Pinar Izgi1؛ Subhadarshan Sahoo* 2
1Tekirdağ Namık Kemal University, Faculty of Arts and Science, Department of Mathematics, 59030 Merkez-Tekirdağ, Turkey.
2Department of Mathematics and Applied Statistics, School of Applied Sciences, Kalinga Institute of Industrial Technology, Deemed to be University, Bhubaneswar-751024, Odisha, India.
چکیده
The fifth-order non-linear partial differential equations (NPDEs) with temporal and spatial dispersion have been seen in the literature to model optical communication, fluid mechanics, condensed matter, electromagnetic phenomena, and the propagation of pulses in optical fibers. The considered model is not an easily solvable equation because of temporal and spatial dispersion. Our main aim is to obtain the explicit form of exact solutions via a combination of Lie group transformation and ansatz-based methods. Finally, the obtained results, which are novel solutions in explicit form, have been presented to illustrate the physical nature by means of three-dimensional plots, with a discussion of the results.
کلیدواژه‌ها
Fifth-order non-linear equation؛ Exact solutions؛ Lie group transformation؛ Ansatz-based methods؛ Solitons
مراجع
  • [1] W. F. Ames and W. N. Nucci, Analysis of fluid equations by group methods, Journal of Engineering Mechanics, 20 (1985), 181-187.
  • [2] G. W. Bluman and S. C. Anco, Symmetry and Integration Methods for Differential Equations, Applied Mathematical Sciences, 154 (2002).
  • [3] G. Guirao, H. M. Baskonus, A. Kumar, M. S. Rawat, and G. Yel, Complex Patterns to the (3+1)-Dimensional B-type Kadomtsev-Petviashvili-Boussinesq Equation, Symmetry, 83 (2020), 12-17.
  • [4] N. H. Ibragimov, CRC Handbook of Lie Group Analysis of Differential Equations, Vol. 1: Symmetries, Exact Solutions and Conservation Laws, CRC, Boca Raton, Florida, 1994.
  • [5] N. H. Ibragimov, Transformation Groups and Lie Algebras, World Scientific Publishing, 2013.
  • [6] H. F. Ismael, H. Bulut, and H. M. Baskonus, Optical soliton solutions to the Fokas–Lenells equation via sine-Gordon expansion method and [Math Processing Error]-expansion method, Pramana - J Phys, 94 (2020).
  • [7] C. K. Kuo, Resonant multi-soliton solutions to two fifth-order KdV equations via the simplified linear superposition principle, Modern Physics Letters B , 33 (2019),1950299.
  • [8] P. J. Oliver, Applications of Lie Groups to Differential Equations, Springer Verlag, New York, 1993.
  • [9] T. Oziş and I. Aslan, Similarity solutions to Burgers’ equation in terms of special functions of mathematical physics,Acta Physica Polonica B , 48(7) (2017), 1349-1369.
  • [10] Z. Pinar and T. Oziş, Classical symmetry analysis and exact solutions for generalized Korteweg–de Vries models with variable coefficients, Int. J. Nonlin. Mech., 105 (2018), 99-104.
  • [11] Z. Pinar and H. Kocak, Exact solutions for the third-order dispersive-Fisher equations, Nonlinear Dyn., 91 (2018), 421-426.
  • [12] Z. Pinar, The Symmetry Analysis of Electrostatic Micro-Electromechanical System (MEMS), Modern Physics Letters B, 34 (2020), 2050199.
  • [13] Z. Pinar, The Combination of Conservation Laws and Auxiliary Equation Method, Int. J. Appl. Comput. Math, 6 (2020).
  • [14] Z. Pinar, Simulations of surface corrugations of graphene sheets through the generalized graphene thermophoretic motion equation, International Journal of Computational Materials Science and Engineering, 2050005 (2020).
  • [15] S. Sahoo and S. S. Ray, Analysis of Lie symmetries with conservation laws for the (3+1) dimensional time-fractional mKdV-ZK equation in ion-acoustic waves, Nonlinear Dyn, 90 (2017), 1105-1113.
  • [16] S. Sahoo and S. S. Ray, Invariant analysis with conservation laws for the time fractional Drinfeld-Sokolov-Satsuma-Hirota equations by Lie group analysis, Chaos, Solitons & Fractals, 104 (2017), 725-733.
  • [17] S. Sahoo and S. S. Ray, The conservation laws with Lie symmetry analysis for time fractional integrable coupled KdV-mKdV system, International Journal of Non-Linear Mechanics, 98 (2017), 114-121.
  • [18] Y. G. Sànchez, Z. Sabir, H. Günerhan, and H. M. Baskonus, Analytical and Approximate Solutions of a Novel Nervous Stomach Mathematical Model, Discrete Dynamics in Nature and Society, 2020 (2020), 5063271.
  • [19] S. Singh, K. Sakkaravarthi, and K. Murugesan, Lump and soliton on certain spatially-varying backgrounds for an integrable (3+1) dimensional fifth-order nonlinear oceanic wave model, Chaos, Solitons & Fractals, 167 (2023), 113058.
  • [20] G. W. Wang, X. G. Liu, and Y. Y. Zhang, Symmetry reduction, exact solutions and conservation laws of a new fifth-order nonlinear integrable equation, Commun Nonlinear Sci Numer Simulat, 18 (2013), 2313-2320.
  • [21] A. M. Wazwaz, A new fifth-order nonlinear integrable equation: multiple soliton solutions, Physica Scripta, 83 (2011), 015012.
  • [22] A. M. Wazwaz, Kink solutions for three new fifth-order nonlinear equations, Applied Mathematical Modelling, 38 (2014), 110-118.
  • [23] A. M. Wazwaz, Multiple soliton solutions and other scientific solutions for a new Painlevè integrable fifth-order equation, Chaos, Solitons & Fractals,196 (2025), 116307.
  • [24] G. Q. Xu and A. M. Wazwaz, Bidirectional solitons and interaction solutions for a new integrable fifth-order nonlinear equation with temporal and spatial dispersion, Nonlinear Dynamics, 101 (2020), 581-595.
  • [25] G. Yel, H. M. Baskonus, and W. Gao, New dark-bright soliton in the shallow water wave model, AIMS Mathematics, 5(4) (2020), 4027-4044.
آمار
تعداد مشاهده مقاله: 378
تعداد دریافت فایل اصل مقاله: 242


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب