Abstract:
A new integrable case is found for the Kirchhoff equation. The additional integral of motion is a fourth-degree polynomial, the principal metric is diagonal with the eigenvalues a1=a2=1a1=a2=1 and a3=2, and the other two metrics are nondiagonal.
Citation:
V. V. Sokolov, “A New Integrable Case for the Kirchhoff Equation”, TMF, 129:1 (2001), 31–37; Theoret. and Math. Phys., 129:1 (2001), 1335–1340