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

 آمار

تعداد نشریات45
تعداد شماره‌ها1,525
تعداد مقالات18,585
تعداد مشاهده مقاله60,929,309
تعداد دریافت فایل اصل مقاله21,744,875
Tariq, Hira, Ashraf, Hira, Hosseinzadeh, Mohammad Ali, Rezazadeh, Hadi, Biria, Soheila. (1405). Soliton solutions in the nonlinear conformable Wu-Zhang system. سامانه مدیریت نشریات علمی, 14(2), 929-946. doi: 10.22034/cmde.2024.61514.2661
Hira Tariq; Hira Ashraf; Mohammad Ali Hosseinzadeh; Hadi Rezazadeh; Soheila Biria. "Soliton solutions in the nonlinear conformable Wu-Zhang system". سامانه مدیریت نشریات علمی, 14, 2, 1405, 929-946. doi: 10.22034/cmde.2024.61514.2661
Tariq, Hira, Ashraf, Hira, Hosseinzadeh, Mohammad Ali, Rezazadeh, Hadi, Biria, Soheila. (1405). 'Soliton solutions in the nonlinear conformable Wu-Zhang system', سامانه مدیریت نشریات علمی, 14(2), pp. 929-946. doi: 10.22034/cmde.2024.61514.2661
Tariq, Hira, Ashraf, Hira, Hosseinzadeh, Mohammad Ali, Rezazadeh, Hadi, Biria, Soheila. Soliton solutions in the nonlinear conformable Wu-Zhang system. سامانه مدیریت نشریات علمی, 1405; 14(2): 929-946. doi: 10.22034/cmde.2024.61514.2661

Soliton solutions in the nonlinear conformable Wu-Zhang system

Computational Methods for Differential Equations
مقاله 27، دوره 14، شماره 2، تیر 2026، صفحه 929-946    اصل مقاله (1.14 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.61514.2661
نویسندگان
Hira Tariq1؛ Hira Ashraf1؛ Mohammad Ali Hosseinzadeh2؛ Hadi Rezazadeh* 2؛ Soheila Biria3
1Department of Mathematics, Government College Women University, Sialkot, Pakistan.
2Faculty of Engineering Modern Technologies, Amol University of Special Modern Technologies, Amol, Iran.
3Higher Education Extension Office, Vice-Chancellor of Education, Ministry of Science, Research and Technology, Tehran, Iran.
چکیده
In this paper, new analytical solutions of nonlinear fractional Wu-Zhang system are determined with the aid of two analytical approaches, that is, generalized projective Riccati equation method and Sardar sub-equation method via conformable derivative. The system describes (1 + 1)-dimensional dispersive long wave in two horizontal directions on shallow waters. Some new solitary wave solutions are demonstrated by the means of computer softwares maple or mathematica. The obtained results reveals that the proposed method is very efficacious and straightforward in the determination of the solution for the nonlinear fractional Wu-Zhang system.
کلیدواژه‌ها
Fractional Wu-Zhang system؛ Conformable fractional derivative؛ Generalized projective Riccati equation method؛ Sardar sub-equation method
مراجع
  • [1] T. Abdeljawad, On conformable fractional calculus, Journal of Computational and Applied Mathematics, 279 (2015), 57–66.
  • [2] A. Atangana, D. Baleanu, and A. Alsaedi, New properties of conformable derivative, Open Mathematics, 13(1) (2015).
  • [3] F. Badshah, K. U. Tariq, A. Bekir, and S. M. R. Kazmi, Stability, modulation instability and wave solutions of time-fractional perturbed nonlinear Schrödinger model, Optical and Quantum Electronics, 56(3) (2024), 425.
  • [4] F. Badshah, K. U. Tariq, M. Inc, and F. Mehboob, On lump, travelling wave solutions and the stability analysis for the (3+ 1)-dimensional nonlinear fractional generalized shallow water wave model in fluids, Optical and Quantum Electronics, 56(2) (2024), 244.
  • [5] F. Badshah, K. U. Tariq, M. Inc, and M. Zeeshan, On the solitonic structures for the fractional Schr¨odinger-Hirota equation, Optical and Quantum Electronics, 56(5) (2024), 848.
  • [6] F. Badshah, K. U. Tariq, M. Zeeshan, H. Ahmad, G. M. Ismail, and K. M. Khedher, On the dynamical study of the quadratic-cubic fractional nonlinear Schrödinger model in superfast fibers, Optical and Quantum Electronics, 56(5) (2024), 822.
  • [7] J. Y. Chung and D. A. Blaser, Transfer function method of measuring in-duct acoustic properties. I. Theory, The Journal of the Acoustical Society of America, 68(3) (1980), 907–913.
  • [8] A. Cinar, M. Secer, M. Ozisik, and M. Bayram, Derivation of optical solitons of dimensionless Fokas-Lenells equation with perturbation term using Sardar sub-equation method, Optical and Quantum Electronics, 54(7) (2022), 402.
  • [9] A. D. Craik, The origins of water wave theory, Annual Review of Fluid Mechanics, 36(1) (2004), 1–28.
  • [10] H. Esen, N. Ozdemir, A. Secer, and M. Bayram, On solitary wave solutions for the perturbed Chen-Lee-Liu equation via an analytical approach, Optik, 245 (2021), 167641.
  • [11] M. Eslami and H. Rezazadeh, The first integral method for Wu-Zhang system with conformable time-fractional derivative, Calcolo, 53(3) (2016), 475–485.
  • [12] E. Fan, Extended tanh-function method and its applications to nonlinear equations, Physics Letters A, 277(4-5) (2000), 212–218.
  • [13] E. Fan and J. Zhang, Applications of the Jacobi elliptic function method to special-type nonlinear equations, Physics Letters A, 305(6) (2002), 383–392.
  • [14] D. Gabay, Chapter IX: Applications of the method of multipliers to variational inequalities, Studies in Mathematics and Its Applications, 15 (1983), 299–331.
  • [15] R. Gorenflo and F. Mainardi, Fractional calculus, in Fractals and fractional calculus in continuum mechanics, Springer, Vienna (1997), 223–276.
  • [16] Y. Gurefe, E. Misirli, A. Sonmezoglu, and M. Ekici, Extended trial equation method to generalized nonlinear partial differential equations, Applied Mathematics and Computation, 219(10) (2013), 5253–5260.
  • [17] T. Han, K. Zhang, Y. Jiang, and H. Rezazadeh, Chaotic pattern and solitary solutions for the (21)-dimensional beta-fractional double-chain DNA system, Fractal and Fractional, 8(7) (2024), 415.
  • [18] J. Hietarinta, Introduction to the Hirota bilinear method, in Integrability of Nonlinear Systems, Springer, Berlin, Heidelberg (1997), 95–103.
  • [19] S. Jiong, Auxiliary equation method for solving nonlinear partial differential equations, Journal of Physics A, 309(5–6) (2003), 387–396.
  • [20] G. Jumarie, Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable functions further results, Computers & Mathematics with Applications, 51(9-10) (2006), 1367–1376.
  • [21] M. M. Khater, Advanced computational techniques for solving the modified KdV-KP equation and modeling nonlinear waves, Optical and Quantum Electronics, 56(1) (2024), 6.
  • [22] M. M. Khater, Exploring the rich solution landscape of the generalized Kawahara equation: insights from analytical techniques, The European Physical Journal Plus, 139(2) (2024), 184.
  • [23] M. M. Khater, Wave propagation and evolution in a (1+ 1)-dimensional spatial-temporal domain: A comprehensive study, Modern Physics Letters B, 38(05) (2024), 2350235.
  • [24] M. M. Khater, Wave propagation analysis in the modified nonlinear time fractional Harry Dym equation: Insights from Khater II method and B-spline schemes, Modern Physics Letters B, 2450288 (2024).
  • [25] M. M. Khater, Modeling wave propagation with gravity and surface tension: Soliton solutions for the generalized Hietarinta-type equation, Qualitative Theory of Dynamical Systems, 23(2) (2024), 86.
  • [26] M. M. Khater, Modeling wave propagation with gravity and surface tension: Soliton solutions for the generalized Hietarinta-type equation, Qualitative Theory of Dynamical Systems, 23(2) (2024), 86.
  • [27] M. M. Khater, Analyzing pulse behavior in optical fiber: Novel solitary wave solutions of the perturbed Chen-LeeLiu equation, Modern Physics Letters B, 37(34) (2023), 2350177.
  • [28] M. M. Khater, Computational simulations of propagation of a tsunami wave across the ocean, Chaos, Solitons & Fractals, 174 (2023), 113806.
  • [29] M. M. Khater, Soliton propagation under diffusive and nonlinear effects in physical systems: (1+ 1)-dimensional MNW integrable equation, Physics Letters A, 480 (2023), 128945.
  • [30] M. M. Khater, Horizontal stratification of fluids and the behavior of long waves, The European Physical Journal Plus, 138(8) (2023), 715.
  • [31] M. M. Khater, Characterizing shallow water waves in channels with variable width and depth: Computational and numerical simulations, Chaos, Solitons & Fractals, 173 (2023), 113652.
  • [32] M. M. Khater, Advancements in computational techniques for precise solitary wave solutions in the (1+1)dimensional Mikhailov-Novikov-Wang equation, International Journal of Theoretical Physics, 62(7) (2023), 152.
  • [33] M. M. Khater, Numerous accurate and stable solitary wave solutions to the generalized modified equal-width equation, International Journal of Theoretical Physics, 62(7) (2023), 151.
  • [34] M. M. Khater, Long waves with a small amplitude on the surface of the water behave dynamically in nonlinear lattices on a non-dimensional grid, International Journal of Modern Physics B, 37(19) (2023), 2350188.
  • [35] M. M. Khater, Abundant and accurate computational wave structures of the nonlinear fractional biological population model, International Journal of Modern Physics B, 37(18) (2023), 2350176.
  • [36] M. M. Khater, Novel computational simulation of the propagation of pulses in optical fibers regarding the dispersion effect, International Journal of Modern Physics B, 37(09) (2023), 2350083.
  • [37] M. M. Khater, In surface tension; gravity-capillary, magneto-acoustic, and shallow water waves’ propagation, The European Physical Journal Plus, 138(4) (2023), 320.
  • [38] M. M. Khater, A hybrid analytical and numerical analysis of ultra-short pulse phase shifts, Chaos, Solitons & Fractals, 169 (2023), 113232.
  • [39] M. M. Khater, Nonlinear elastic circular rod with lateral inertia and finite radius: Dynamical attributive of longitudinal oscillation, International Journal of Modern Physics B, 37(06) (2023), 2350052.
  • [40] M. M. Khater, In solid physics equations, accurate and novel soliton wave structures for heating a single crystal of sodium fluoride, International Journal of Modern Physics B, 37(07) (2023), 2350068.
  • [41] M. M. Khater, Prorogation of waves in shallow water through unidirectional Dullin-Gottwald-Holm model: Computational simulations, International Journal of Modern Physics B, 37(08) (2023), 2350071.
  • [42] M. M. Khater, Computational and numerical wave solutions of the Caudrey-Dodd-Gibbon equation, Heliyon, 9(2) (2023).
  • [43] M. M. Khater, Multi-vector with nonlocal and non-singular kernel ultrashort optical solitons pulses waves in birefringent fibers, Chaos, Solitons & Fractals, 167 (2023), 113098.
  • [44] M. M. Khater, Physics of crystal lattices and plasma: Analytical and numerical simulations of the Gilson-Pickering equation, Results in Physics, 44 (2023), 106193.
  • [45] M. M. Khater, Hybrid accurate simulations for constructing some novel analytical and numerical solutions of threeorder GNLS equation, International Journal of Geometric Methods in Modern Physics, 20(09) (2023), 2350159.
  • [46] M. M. Khater, Nonlinearity, dispersion, and dissipation in water wave dynamics: The BL equation unraveled, International Journal of Theoretical Physics, 63(5) (2024), 106.
  • [47] M. M. Khater, R. A. Attia, and D. Lu, Numerical solutions of nonlinear fractional Wu-Zhang system for water surface versus three approximate schemes, Journal of Ocean Engineering and Science, 4(2) (2019), 144–148.
  • [48] M. M. Khater, D. Lu, and R. A. Attia, Dispersive long wave of nonlinear fractional Wu-Zhang system via a modified auxiliary equation method, AIP Advances, 9(2) (2019), 025003.
  • [49] N. A. Kudryashov, Simplest equation method to look for exact solutions of nonlinear differential equations, Chaos, Solitons & Fractals, 24(5) (2005), 1217–1231.
  • [50] D. Kumar, K. Hosseini, and F. Samadani, The sine-Gordon expansion method to look for the traveling wave solutions of the Tzitz’ica type equations in nonlinear optics, Optik, 149 (2017), 439–446.
  • [51] C. S. Li, Exact travelling wave solutions for (1+1)-dimensional dispersive long wave equation, Chinese Physics, 14(9) (2005), 1710.
  • [52] B. Li and Y. Chen, Nonlinear partial differential equations solved by projective Riccati equations Ansatz, Zeitschrift für Naturforschung A, 58(9–10) (2003), 511–519.
  • [53] C. Li and W. Deng, Remarks on fractional derivatives, Applied Mathematics and Computation, 187(2) (2007), 777–784.
  • [54] B. Lu, The first integral method for some time fractional differential equations, Journal of Mathematical Analysis and Applications, 395(2) (2012), 684–693.
  • [55] N. Mahak and G. Akram, The modified auxiliary equation method to investigate solutions of the perturbed nonlinear Schrödinger equation with Kerr law nonlinearity, Optik, 207 (2020), 164467.
  • [56] T. Muhammad, A. Hamoud, F. Emadifar, H. K. Hamasalh, M. Azizi, and H. Khademi, Traveling wave solutions to the Boussinesq equation via Sardar sub-equation technique, Applied Mathematics and Computation, (publication year not provided).
  • [57] K. U. Tariq, M. M. Khater, and M. Younis, Explicit, periodic and dispersive soliton solutions to the conformable time-fractional Wu-Zhang system, Modern Physics Letters B, 35(24) (2021), 2150417.
  • [58] A. M. Wazwaz, A sine-cosine method for handling nonlinear wave equations, Mathematical and Computer Modelling, 40(5-6) (2004), 499–508.
  • [59] G. Yel and H. M. Baskonus, Solitons in conformable time-fractional Wu-Zhang system arising in coastal design, Pramana, 93(4) (2019), 1–10.
  • [60] J. Zhang, X. Wei, and Y. Lu, A generalized (G’/G)-expansion method and its applications, Physics Letters A, 372(20) (2008), 3653–3658.
آمار
تعداد مشاهده مقاله: 487
تعداد دریافت فایل اصل مقاله: 399


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب