Communications in Theoretical Physics ›› 2021, Vol. 73 ›› Issue (11): 115004. doi: 10.1088/1572-9494/ac18bb

• Mathematical Physics • Previous Articles     Next Articles

Diverse acoustic wave propagation to confirmable time–space fractional KP equation arising in dusty plasma

Aly R Seadawy1,(),Muhammad Younis2,Muhammad Z Baber3,Syed T R Rizvi4,Muhammad S Iqbal3   

  1. 1Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia
    2Department of Computer Science, University of the Punjab, Lahore, Pakistan
    3Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan
    4Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan
  • Received: 2021-04-05 Revised: 2021-07-20 Accepted: 2021-07-29 Published: 2021-11-01
  • Contact: Aly R Seadawy E-mail:aly742001@yahoo.com

Abstract:

In this study, the (3+1)-dimensional fractional time–space Kadomtsev–Petviashivili (FTSKP) equation is considered and analyzed analytically, which propagates the acoustic waves in an unmagnetized dusty plasma. The fractional derivatives are studied in a confirmable sense. The new modified extended direct algebraic (MEDA) approach is adopted to investigate the diverse nonlinear wave structures. A variety of new families of hyperbolic and trigonometric solutions are obtained in single and different combinations. The obtained results are also constructed graphically with the different parametric choices.

Key words: exact solutions, fractional calculus, new MEDA technique, unmagnetized dusty plasma