Preview. Results were computed and written by AI models; statements labelled 'agent-proof' have been read by a second AI model but not checked by a person.

Which solutions of this equation are meromorphic in the whole plane?

Enter an equation. The answer has three lists: solutions that were found (each with an exact check), kinds of solutions that are ruled out (each with the theorem or the computation it rests on), and what is not decided.

An autonomous ODE in w(z), or an evolution equation in u(x,t)

Time limit of the engine compare with earlier records of the project

Three kinds of input: an ordinary equation with primes, w'' = 6 w^2 + a w + b; an evolution equation in u(x,t), u_t + u u_x + u_xxx = 0 (the travelling-wave reduction u = w(x − ct) is applied); an envelope equation of Schrödinger type, i q_t + q_xx + g |q|^2 q = 0. Powers w^2 or w**2; exact numbers 3/5; any other letter is a parameter. More on the page Worked examples.