2 papers
nlin.SI2023
Defining differential equations for modular forms and Jacobi forms
Stanislav Opanasenko, Evgeny Ferapontov
It is well known that every modular form~ on a discrete subgroup satisfies a third-order nonlinear ODE that expresses algebraic dependence…
math.CA2022
Linearisable Abel equations and the Gurevich--Pitaevskii problem
Stanislav Opanasenko, Evgeny Ferapontov
Applying symmetry reduction to a class of -invariant third-order ODEs, we obtain Abel equations whose general solution can be parametrised by hypergeometr…