A typical property for integrable systems is the existence of solitons. Various methods have been applied to study stability of solitons of integrable systems. In the study of stability of solitons, integrability properties of integrable systems play key roles in the proof of stability of solitons. In this talk, we shall present a survey on the issue how the properties can be used to prove stability of solitons and other kinds of solutions. Some open questions related to this talk will be addressed.

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