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Novikov 方程的可积性和解的稳定性
时间  Datetime
2017-12-04 14:30 — 15:30 
地点  Venue
Large Conference Room
报告人  Speaker
屈长征
单位  Affiliation
宁波大学
邀请人  Host
Weike Wang/ Xiongfeng Yang
报告摘要  Abstract

Novikov equation, as a cubic generaliztion of the celebrated Camassa-Holm equation, obeys several nontrivial properties. In this talk, we first study the integrability and invariant properties of the Novikov equation. It is shown that there is a Liouville correspondence between the Novikov hierarchies and Sawada-Kotera hierarchies. As a conclusion, an infinite number of conservation laws of the Novikov equation is derived. Second, we verify the non-smooth solitons are orbitally stable in the energy space by establishing the inequalities relating the maximum value of approximate solutions and Hamiltonian conservation laws. Finally, we study the integrability, structure of non-smooth solitons and their stability in the energy space of a two-component Novikov system.