6 citations · 16 across the 5 of their papers we have counts for
5 papers
Second order ODE's cubic in the first order derivative with 2-dimensional symmetry algebra
Vera V. Kartak
We describe the second order ODE's cubic in the first order derivative with 2-dimensional symmetry algebra. We show that there exist only eight different types of them. We also con…
"`Painleve 34"' equation: equivalence test
Vera V. Kartak
Completely solved the equivalence problem for the "`Painleve 34"' equation.
Point classification of the second order ODE's by Ruslan Sharipov and its application to Painleve equations
Vera V. Kartak
This is an review on the point classification of second order ODE's by Ruslan Sharipov. His works were published in 1997-1998 at the Electronic Archive at LANL and undeservedly for…
Equivalence classes of the second order ODEs with the constant Cartan invariant
Vera V. Kartak
Second order ordinary differential equations that possesses the constant invariant are investigated. Four basic types of these equations were found. For every type the complete lis…
Explicit solution of the problem of equivalence for some Painleve equations
V. V. Kartak
For an arbitrary ordinary second order differential equation a test is constructed that checks if this equation is equivalent to Painleve I, II or Painleve III with three zero para…