Integrability, Similarity Reductions and New Classes of Exact Solutions for (3+1)-D Potential Yu–Toda–Sasa–Fukuyama Equation

• Ahmed A. Gaber ^[1] ; Ahmet Bekir
  1. [1] Majmaah University

     Majmaah University

     Arabia Saudí

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 5, 2024
• Idioma: inglés
• DOI: 10.1007/s12346-024-01090-0
• Enlaces
  • Texto completo
• Resumen

  • In this investigation, the (3+1)-D potential Yu–Toda–Sasa–Fukuyama (YTSF) equation that arises in physical dynamics is studied for passing the painlevé test and obtaining many various exact solutions. The governing equation has many applications in fluid mechanics. Firstly, we applied the painlevé property for the governing equation and proved that the equation passes the painlevé test. After that, we utilized symmetry analysis to convert the governing equation to various ordinary differential equations. Subsequently, we obtained a new type of exact solutions for YTSF equation by using an Algorithm–Riccati method. The obtained solutions contained several arbitrary constants and functions that enhance the dynamic behaviors of these solutions. The obtained solutions include hyperbolic and trigonometric functions and represent kink wave, singularity wave and solitary wave solutions.

• Referencias bibliográficas
  • Rafiq, M.H., Jhangeer, A., Raaza, N.: The analysis of solitonic, supernonlinear, periodic, quasiperiodic, bifurcation and chaotic patterns...
  • Ren, J., Ilhan, O.A., Bulut, H., Manafian, J.: Multiple rogue wave, dark, bright, and solitary wave solutions to the KP-BBM equation. J. Geom....
  • Gu, Y., et al.: Variety interaction between -lump and -kink solutions for the (3+1)-D Burger system by bilinear analysis. Results Phys....
  • Gaber, A.A., et al.: The generalized Kudryashov method for nonlinear space-time fractional partial differential equations of Burgers type....
  • Zhang, H., et al.: N-lump and interaction solutions of localized waves to the (2 + 1)-dimensional generalized KP equation. Results Phys....
  • Özkan, Y., Yasar, E.: On the exact solutions of nonlinear evolution equations by the improved tan( /2)-expansion method. Pramana - J. Phys....
  • Nisar, K.S., et al.: Analytical behavior of the fractional Bogoyavlenskii equations with conformable derivative using two distinct reliable...
  • Gaber A., Ahmad, H.: Solitary wave solutions for space-time fractional coupled Integrable Dispersionless System via Generalized Kudryashov...
  • Niwas M., Kumar S.: Multi-peakons, Multi-peakons, lumps, and other solitons solutions for the (2+1)-dimensional generalized Benjamin–Ono...
  • Ahmad, H., et al.: A new analyzing technique for nonlinear time fractional Cauchy reaction-diffusion model equations. Results Phys. (2020),...
  • Rabie, W.B., Khalil, T.A., Badra, N., et al.: Soliton Solutions and Other Solutions to the (4+1)-Dimensional Davey-Stewartson-Kadomtsev-Petviashvili...
  • Nisar, K.S., et al.: Novel multiple soliton solutions for some nonlinear PDEs via multiple Exp-function method. Results Phys. 21, 103769 (2021)....
  • Zhang, M., et al.: Characteristics of the new multiple rogue wave solutions to the fractional generalized CBS-BK equation. J. Adv. Res. 38,...
  • Lu, D., Seadawy, A.R., Arshad, M., Wang, J.: New solitary wave solutions of (3 + 1)-dimensional nonlinear extended Zakharov-Kuznetsov...
  • Iqbal, M., Seadawy, A.R., Lu, D., Xianwei, X.: Construction of a weakly nonlinear dispersion solitary wave solutionfor the Zakharov-Kuznetsov-modified...
  • Farooq, A., Khan, M.I., Ma, W.X.: Exact solutions for the improved mKdv equation with conformable derivative by using the Jacobi elliptic...
  • Talafha, A.M., Jhangeer, A., Kazmi, S.S.: Dynamical analysis of (4+1)-dimensional Davey Srewartson Kadomtsev Petviashvili equation by...
  • Gaber, A.A., et al.: New approch of MHD boundary layer flow towards a porous stretching sheet via symmetry analysis and the generalized Exp-Function...
  • Gaber, A.A., Wazwaz, A.: Dynamic wave solutions for (2+1)-dimensional DJKM equation in plasma physic. AIMS Math. 9(3), 6060–6072 (2024) Article...
  • Kumar, S., et al.: Lie symmetry analysis for obtaining the abundant exact solutions, optimal system and dynamics of solitons for a higher-dimensional...
  • Rafiq, M.H., Raaza, N., Jhangeer, A.: Dynamic study of bifurcation, chaotic behavior and multi-soliton profiles for the system of shallow...
  • Gaber, A.A., Wazwaz, A., Mousa, M.M.: Similarity reductions and new exact solutions for (3+1)-dimensional B-B equation. Mod. Phys. Lett....
  • Sahoo, S., Ray, S.: Saha, Lie symmetry analysis and exact solutions of (3+1) dimensional Yu-Toda-Sasa-Fukuyama equation in mathematical...
  • Jadaun, V., Singh, N.R.: Soliton solutions of generalized (3 + 1)-dimensional Yu-Toda-Sasa-Fukuyama equation using Lie symmetry analysis....
  • Ma, H.-C., Cheng, Q.-X., Deng, A.-P.: N-soliton solutions and localized wave interaction solutions of a (3+1)-dimensional potential-Yu-Toda-Sasa-Fukuyamaf...
  • Chen H., Xu Z., Dai Z.: Rogue Wave for the (3+1)-Dimensional Yu-Toda-Sasa-Fukuyama Equation. Abstract and App. Ana. (2014) 378167 Lv,...
  • Wang Y. Zhenhui W.: Exact solutions for (3 + 1)-dimensional potential-YTSF equation and discrete kadomtsev-petviashvili equation. J. App....
  • Yuan, Y.Q.: Periodic-wave and semi-rational solutions for the (3+1)-dimensional Yu-Toda-Sasa-Fukuyama equation. Appl. Math. Lett. 120,...
  • Gaber, A.A.: Integrability and wave solutions for fifth-order KdV type equation. Inter. J. Adv. App. Sci. 7(4), 103–106 (2020) Article Google...
  • Weiss, J., Tabo, M., Carnevale, G.: The Painlevé property for partial differential equations. J. Math. Phys. 24(3), 522–526 (1983) Article...
  • Ovsiannikov, L.V.: Group Analysis of Differential Equations. Nauka, Moscow (1978) Google Scholar
  • Olver, P.J.: Application of Lie Groups to Differential Equations. Springer, Berlin (1986) Book Google Scholar
  • Beenish, K.H., Riaz, M.B., Imran, M., Jhangeer, A.: Lie analysis and nonlinear propagating waves of the (3+1)-dimensional generalized...
  • Moussa, M.H., Gaber, A.A.: Symmetry analysis and Solitary wave solutions of nonlinear ion-acoustic waves equation. Int. J. Ana. App. 18, 448–460...
  • Ebaid, A.: Generalization of He’s Exp-Function Method and New Exact Solutions for Burgers Equation. Zeitschrift für Naturforschung A. 64,...