• Hierarchy of WDVV associativity equations for n = 3 case and N = 2 when V0 /= 0 

      Zhadyranova, A.A.; Myrzakul, Zh.R.; Anuarbekova, Y.Ye. (L.N.Gumilyov Eurasian National University, 2018)
      We investigate solutions of Witten-Dijkgraaf-E.Verlinde-H.Verlinde (WDVV) equations. The article discusses nonlinear equations of the third order for a function f = f(x, t)) of two independent variables x, t . The solution of some cases of hierarchy equations of associativity illustrated. Lax pairs for the system of three equations, that contains the equation of associativity are ...
      2023-08-14
    • Hierarchy of WDVV associativity equations for n = 3 case and N = 2 when V0 = 0 

      Zhadyranova, A.A.; Anuarbekova, Y.Ye. (L.N.Gumilyov Eurasian National University, 2019)
      We investigate solutions to a hierarchy for N = 2 case when V0 = 0 of WittenDijkgraaf-E.Verlinde-H.Verlinde (WDVV) equations. We give a description of nonlinear partial differential equations of associativity in 2D topological field theories (for some special type solutions of the Witten-Dijkgraaf-E.Verlinde-H.Verlinde (WDVV) system) as integrable nondiagonalizable weakly ...
      2023-08-15