Integrable evolution Hamiltonian equations of the third order with the Hamiltonian operator ${\mathbf{D}}_x$

Abstract

All non-equivalent integrable evolution equations of third order of the form $u_t=D_x\frac{\delta H}{\delta u}$ are found.

8 pages

References in corpus (1)

• Integrable evolution equations with constant separant

Cited by in corpus (1)

• Integrable Hamiltonian equations of fifth order with the Hamiltonian operator ${\mathbf{D}}_x$