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Orbital Stability of Peaked Solitons of Novikov-type Equations - 屈长征(宁波大学)

作者:   来源:  时间:2018-01-29

题目:  Orbital Stability of Peaked Solitons of Novikov-type Equations

报告人:屈长征(宁波大学)

摘要:

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 conserved

quantities 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 peaked solitons and their stability in the energy space of a two-component Novikov system.

 

时间: 2018年1月29日(周一)下午16:30-17:30

地点:首师大本部教二楼527教室

 

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