Motion in an asymmetric double well

The problem of the periodic motion of a particle in an asymmetric double-well (quartic) potential is solved explicitly in terms of the Weierstrass and Jacobi elliptic functions. While the solution of the orbital motion is expressed simply in terms of the Weierstrass elliptic function, the period of oscillation is more directly expressed in terms of periods of the Jacobi elliptic functions.