17 citations · 77 across the 32 of their papers we have counts for
3 papers · 1 filter
On invariant solutions of linear time-fractional diffusion-wave equations with variable coefficients
Sodbaatar Adiya, Khongorzul Dorjgotov, Bayarmagnai Gombodorj +2
We study invariant solutions of a certain class of time-fractional diffusion-wave equations with variable coefficients via Lie symmetry analysis. In physics, the fractional diffusi…
Lie symmetry analysis of a class of time fractional nonlinear evolution systems
Khongorzul Dorjgotov, Hiroyuki Ochiai, Uuganbayar Zunderiya
We study a class of nonlinear evolution systems of time fractional partial differential equations using Lie symmetry analysis. We obtain not only infinitesimal symmetries but also…
Counting functions for branched covers of elliptic curves and quasi-modular forms
Hiroyuki Ochiai
We prove that each counting function of the m-simple branched covers with a fixed genus of an elliptic curve is expressed as a polynomial of the Eisenstein series E_2, E_4 and E_6…