Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Professor Bo Xue,Zhengzhou University
Inviter:	Associate Professor Xiangke Chang
Title:	A Degasperis-Procesi equation II with multi-peakon solutions
Language:	Chinese
Time & Venue:	2023.09.08 14:00-15:00 N402
Abstract:	Based on a 3 × 3 matrix spectral problem, a new hierarchy of nonlinear evolution equations is obtained by means of the zero-curvature equation and the Lenard recursion equation. With the help of the trace identity, the Hamiltonian structures of this hierarchy are established. Then a new nonlinear wave equation, called the Degasperis–Procesi equation II, is derived from a negative flow, which admits exact solutions with peakons. Finite-dimensional dynamical systems related to peakon solutions and an infinite sequence of conserved quantities of the Degasperis–Procesi equation II are obtained.