Browsing by Subject "Bell polynomials"

Now showing items 1-3 of 3

    • Exact solutions for nonlinear evolution equations using novel test function 

      Singh, M.; Gupta, R.K. (Springer Netherlands, 2016)
      Based on Bell polynomials approach, in this paper we have used Maple computer algebra package PDEBellII for constructing bilinear equations for some nonlinear evolution equations. Bilinear equations are then used to construct ...

    • A generalized (2+1)-dimensional Hirota bilinear equation: integrability, solitons and invariant solutions 

      Mandal, Uttam Kumar; Malik, Sandeep; Kumar, Sachin; Das, Amiya (Springer Science and Business Media B.V., 2022-11-11)
      In this paper, we consider an extended form of generalized (2 + 1) -dimensional Hirota bilinear equation which demonstrates nonlinear wave phenomena in shallow water, oceanography and nonlinear optics. We have successfully ...

    • A probabilistic generalization of the Bell polynomials 

      Soni, R.; Vellaisamy, P.; Pathak, A.K. (Springer Science and Business Media B.V., 2023-09-06)
      Motivated by an interconnection between the probabilistic Stirling numbers of the second kind and the Bell polynomials studied by Adell and Lekuona (in J Number Theory 194:335�355, 2019), we present a probabilistic ...