Ir al contenido

Documat

Wave Profile, Paul-Painlevé Approaches and Phase Plane Analysis to the Generalized (3+1)-Dimensional Shallow Water Wave Model

  • Minghan Liu [4] ; Jalil Manafian [5] ; Gurpreet Singh [1] ; Abdullah Saad Alsubaie [2] ; Khaled Hussein Mahmoud [2] ; Parvin Mustafayeva [3]
    1. [1] Chitkara University

      Chitkara University

      India

    2. [2] Taif University

      Taif University

      Arabia Saudí

    3. [3] Ganja State University

      Ganja State University

      Azerbaiyán

    4. [4] Hainan Hanrbor & Shipping Holding
    5. [5] University of Tabriz & Lankaran State University
    Mostrar afiliaciones +
  • Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 1, 2024
  • Idioma: inglés
  • Enlaces
  • Resumen

    • In this paper, the solitary wave solutions, the periodic type, and single soliton solutions are acquired. Here, the Hirota bilinear operator is employed to investigate single soliton, periodic wave solutions and the asymptotic case of periodic wave solutions. By utilizing symbolic computation and the applied method, generalized (3+1)-dimensional shallow water wave (GSWW) equation is investigated. The variational principle scheme to case periodic forms is studied. The (3+1)-GSWW model exhibits travelling waves, as shown by the research in the current paper. Through three-dimensional design, contour design, density design, and two-dimensional design using Maple, the physical features of single soliton and periodic wave solutions are explained all right. The findings demonstrate the investigated model’s broad variety of explicit solutions. As a result, exact solitary wave solutions to the studied issues, including solitary, single soliton, and periodic wave solution, are found. The phase plane is quickly examined after establishing the Hamiltonian function. The effects of wave velocity and other free factors on the wave profile are also investigated. It is shown that the approach is practical and flexible in mathematical physics. All outcomes in this work are necessary to understand the physical meaning and behavior of the explored results and shed light on the significance of the investigation of several nonlinear wave phenomena in sciences and engineering.

  • Referencias bibliográficas
    • 1. Xu, K., Guo, Y., Liu, Y., Deng, X., Chen, Q., Ma, Z.: 60-GHz compact dual-mode on-chip bandpass filter using GaAs technology. IEEE Electron...
    • 2. Li, Q., Lin, H., Tan, X., Du, S.: H∞ consensus for multiagent-based supply chain systems under switching topology and uncertain demands....
    • 3. Wang, F., Wang, H., Zhou, X., Fu, R.: A driving fatigue feature detection method based on multifractal theory. IEEE Sens. J. 22(19), 19046–19059...
    • 4. Alimirzaluo, E., Nadjafikhah, M., Manafian, J.: Some new exact solutions of (3+1)-dimensional Burgers system via Lie symmetry analysis....
    • 5. Dorizzi, B., Grammaticos, B., Ramani, A., Winternitz, P.: Are all the equations of the Kadomtsev– Petviashvili hierarchy integrable? J....
    • 6. Manafian, J.: On the complex structures of the Biswas–Milovic equation for power, parabolic and dual parabolic law nonlinearities. Eur....
    • 7. Manafian, J., Foroutan, M.R., Guzali, A.: Applications of the ETEM for obtaining optical soliton solutions for the Lakshmanan–Porsezian–Daniel...
    • 8. Manafian, J.: Optical soliton solutions for Schrödinger type nonlinear evolution equations by the tan(φ/2)-expansion method. Optik 127,...
    • 9. Zhou, Y., Wang, C., Zhang, X.: Rational localized waves and their Absorb-Emit interactions in the (2+1)-dimensional Hirota–Satsuma–Ito...
    • 10. Tchier, F., Yusuf, A., Aliyu, A.I., Inc, M.: Soliton solutions and conservation laws for lossy nonlinear transmission line equation. Superlatt....
    • 11. Samadi, M., Sarkardeh, H., Jabbari, E.: Prediction of the dynamic pressure distribution in hydraulic structures using soft computing methods....
    • 12. Li, R., Bu Sinnah, Z.A., Shatouri, Z.M.,Manafian, J., Aghdaei,M.F., Kadi, A.: Different forms of optical soliton solutions to the Kudryashov’s...
    • 13. Yin, Z., Liu, Z., Liu, X., Zheng, W., Yin, L.: Urban heat islands and their effects on thermal comfort in the US: New York and New Jersey....
    • 14. Wang, B., Shen, Y., Li, N., Zhang, Y., Gao, Z.: An adaptive sliding mode fault-tolerant control of a quadrotor unmanned aerial vehicle...
    • 15. Wang, B., Zhang, Y., Zhang, W.: A composite adaptive Fault–Tolerant attitude control for a quadrotor UAV with multiple uncertainties....
    • 16. Feng, Y., Zhang, B., Liu, Y., Niu, Z., Fan, Y., Chen, X.: A D-band manifold triplexer with high isolation utilizing novel waveguide dual-mode...
    • 17. Sherazi, K., Sheikh, N., Anjum, M., Raza, A.G.: Solar drying experimental research and mathematical modelling of wild mint and peach moisture...
    • 18. Otenkaya, O.B., Pakfiliz, A.G.: Increasing the radar cross section using phase array antenna in the body structure of miniature air-launched...
    • 19. Ghasemi, M., Samadi, M., Soleimanian, E., Chau, K.W.: A comparative study of black-box and whitebox data-driven methods to predict landfill...
    • 20. Velidi, G.: Pressure and velocity variation in remote-controlled plane using CFD analysis. J. Airline Oper. Aviat. Manag. 1(1), 9–18 (2022)
    • 21. Kumar Vandrangi, S.: Aerodynamic characteristics of NACA 0012 airfoil by CFD analysis. J. Airline Oper. Aviat. Manag. 1(1), 1–8 (2022)
    • 22. Mishra, N., Jain, A., Nair, A., Khanna, B., Mitra, S.: Experimental investigation on a ducted savonius vertical axis wind turbine and...
    • 23. Salek, F., Rahnama, M., Eshghi, H., Babaie, M., Naserian, M.M.: Investigation of solar-driven hydroxy gas production system performance...
    • 24. Dawod, L.A., Lakestani, M., Manafian, J.: Breather wave solutions for the (3+1)-D generalized shallow water wave equation with variable...
    • 25. Pan, Y., Manafian, J., Zeynalli, S.M., Al-Obaidi, R., Sivaraman, R., Kadi, A.: N-lump solutions to a (3+1)-dimensional variable-coefficient...
    • 26. Zhou, B., Zheng, Z., Zhang, Q., Jin, P., Wang, L., Ning, D.: Wave attenuation and amplification by an abreast pair of floating parabolic...
    • 27. Yin, L., Wang, L., Keim, B.D., Konsoer, K., Yin, Z., Liu, M., Zheng, W.: Spatial and wavelet analysis of precipitation and river discharge...
    • 28. Yin, L., Wang, L., Li, T., Lu, S., Yin, Z., Liu, X., Zheng, W.: U-Net-STN: a novel end-to-end lake boundary prediction model. Land 12(8),...
    • 29. Luo, R., Peng, Z., Hu, J.: On model identification based optimal control and it’s applications to multiagent learning and control. Mathematics...
    • 30. Mehrpooya, M., Ghadimi, N., Marefati, M., Ghorbanian, S.A.: Numerical investigation of a new combined energy system includes parabolic...
    • 31. Jiang, W., Wang, X., Huang, H., Zhang, D., Ghadimi, N.: Optimal economic scheduling of microgrids considering renewable energy sources...
    • 32. Erfeng, H., Ghadimi, N.: Model identification of proton-exchange membrane fuel cells based on a hybrid convolutional neural network and...
    • 33. Han, E., Ghadimi, N.: Model identification of proton-exchange membrane fuel cells based on a hybrid convolutional neural network and extreme...
    • 34. Cai, W., Mohammaditab, R., Fathi, G., Wakil, K., Ebadi, A.G., Ghadimi, N.: Optimal bidding and offering strategies of compressed air energy...
    • 35. Yu, D., Zhang, T., He, G., Nojavan, S., Jermsittiparsert, K., Ghadimi, N.: Energy management of wind-PV-storage-grid based large electricity...
    • 36. Saeedi, M., Moradi, M., Hosseini, M., Emamifar, A., Ghadimi, N.: Robust optimization based optimal chiller loading under cooling demand...
    • 37. Yuan, Z., Wang, W., Wang, H., Ghadimi, N.: Probabilistic decomposition-based security constrained transmission expansion planning incorporating...
    • 38. Mir, M., Shafieezadeh, M., Heidari, M.A., Ghadimi, N.: Application of hybrid forecast engine based intelligent algorithm and feature selection...
    • 39. Zhang, J., Khayatnezhad, M., Ghadimi, N.: Optimal model evaluation of the proton exchange membrane fuel cells based on deep learning and...
    • 40. Zhang, X., Wang, Y., Yuan, X., Shen, Y., Lu, Z., Wang, Z.: Adaptive dynamic surface control with disturbance observers for battery/supercapacitor-based...
    • 41. Chen, L., Huang, H., Tang, P., Yao, D., Yang, H., Ghadimi, N.: Optimal modeling of combined cooling, heating, and power systems using...
    • 42. Wang, X.B., Tian, S.F.: Exotic vector freak waves in the nonlocal nonlinear Schrödinger equation. Phys. D: Nonlinear Phenomena 442, 133528...
    • 43. Wang, X.B.: Quasi-periodic wave solutions of the nonlocal coupled nonlinear Schrödinger equation. Appl. Math. Lett. 132, 108086 (2022)
    • 44. Wang, X.B., Tian, S.F.: Exotic localized waves in the shifted nonlocal multicomponent nonlinear Schrödinger equation. Theor. Math. Phys....
    • 45. Singh, S., Sakkaravarthi, K., Tamizhmani, T., Murugesan, K.: Painlevé analysis and higher-order rogue waves of a generalized (3+1)-dimensional...
    • 46. Yu, S., Huang, L.: Exact solutions of the generalized (2+1)-dimensional shallow water wave equation. Results Phys. 42, 106020 (2022)
    • 47. Manafian, J., Ilhan, O.A., Alizadeh, A., Mohammed, S.A.: Multiple rogue wave and solitary solutions for the generalized BK equation via...
    • 48. Kudryashov, N.A.: The Painlevé approach for finding solitary wave solutions of nonlinear nonintegrable differential equations. Optik 183,...
    • 49. Ma, W.X.: Bilinear equations, Bell polynomials and linear superposition principle. J. Phys.: Conf. Ser. 411, 012021 (2013)
    • 50. Dong, H.H., Zhang, Y.F., Zhang, Y.F., Yin, B.S.: Generalized bilinear differential operators, binary bell polynomials, and exact periodic...
    • 51. Ma, W.X., Zhou, Y.: Lump solutions to nonlinear partial differential equations via Hirota bilinear forms. J. Differ. Equ. 264(4), 2633–2659...
    • 52. Zhang, R.F., Li, M.C.: Bilinear residual network method for solving the exactly explicit solutions of nonlinear evolution equations. Nonlinear...
    • 53. Zhang, R.F., Bilige, S.: Bilinear neural network method to obtain the exact analytical solutions of nonlinear partial differential equations...
    • 54. Zhang, R.F., Bilige, S., Chaolu, T.: Fractal solitons, arbitrary function solutions, exact periodic wave and breathers for a nonlinear...
    • 55. Zhang, R.F., Li, M.C., Gan, J.Y., Li, Q., Lan, Z.Z.: Novel trial functions and rogue waves of generalized breaking soliton equation via...
    • 56. Zhang, R.F., Bilige, S., Liu, J.G., Li, M.: Bright-dark solitons and interaction phenomenon for p-gBKP equation by using bilinear neural...
    • 57. Gu, Y., Malmir, S., Manafian, J., Ilhan, O.A., Alizadeh, A., Othman, A.J.: Variety interaction between k-lump and k-kink solutions for...
    • 58. Ali, N.H., Mohammed, S.A., Manafian, J.: New explicit soliton and other solutions of the Van der Waals model through the EShGEEM and the...
    • 59. Khater, M.M.A.: Physics of crystal lattices and plasma; analytical and numerical simulations of the Gilson–Pickering equation. Results...
    • 60. Qian, Y., Manafian, J., Asiri, M., Mahmoud, K.H., Alanssari, A.I., Alsubaie, A.S.: Nonparaxial solitons and the dynamics of solitary waves...
    • 61. Khater, M.M.A.: Long waves with a small amplitude on the surface of the water behave dynamically in nonlinear lattices on a non-dimensional...
    • 62. Khater, M.M.A.: Hybrid accurate simulations for constructing some novel analytical and numerical solutions of three-order GNLS equation....
    • 63. Khater, M.M.A.: Soliton propagation under diffusive and nonlinear effects in physical systems; (1+1)- dimensional MNW integrable equation....
    • 64. Chen, W., Manafian, J., Mahmoud, K.H., Alsubaie, A.S., Aldurayhim, A., Alkader, A.: Cutting-edge analytical and numerical approaches to...
    • 65. Arefin, M.A., Saeed, M.A., Ali Akbar, M., Hafiz Uddin, M.: Analytical behavior of weakly dispersive surface and internal waves in the...
    • 66. Manafian, J., Takami, S.F.S., Eslami, B., Malmir, S., Sood, A., Sabherwal, A.K.: Dynamical behaviors of lumpoff and rogue wave solutions...
    • 67. Safi Ullah, M., Or-Roshid, H., Alshammari, F.S., Ali, M.Z.: Collision phenomena among the solitons, periodic and Jacobi elliptic functions...
    • 68. Zaman, U.H.M., Arefin, M.A., Ali Akbar, M., Hafiz Uddin, M.: Analyzing numerous travelling wave behavior to the fractional-order nonlinear...
    • 69. Hafiz Uddin, M., Zaman, U.H.M., Arefin, M.A., Ali Akbar, M.: Nonlinear dispersive wave propagation pattern in optical fiber system. Chaos...
    • 70. Safi Ullah, M., Seadawy, A.R., Ali, M.Z., Or-Roshid, H.: Optical soliton solutions to the Fokas–Lenells model applying the ϕ6-model expansion...
    • 71. Safi Ullah, M., Or-Roshid, H., Ali, M.Z., Rezazadeh, H.: Kink and breather waves with and without singular solutions to the Zoomeron model....
    • 72. Manafian, J., Allahverdiyeva, N.: An analytical analysis to solve the fractional differential equations. Adv. Math. Models Appl. 6(2),...
    • 73. Wang, X., Manafian, J., Mahendra, W.E., Abed, A.M., Mahmoud, M.Z., Liang, G.: Combined damped sinusoidal oscillation solutions to the...
Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno