An integrable Hamiltonian hierarchy and its constrained flows with generalized Hamiltonian regular representations, as well as its expanding integrable system

Two expanding integrable systems of the

Two expanding integrable systems of the GI soliton hierarchy and a generalized GI hierarchy with self-consistent sources as well as its extension form

✍ Xiurong Guo 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 192 KB

By using a Lie algebra G and its loop algebra e G, a soliton hierarchy of evolution equations is derived from which the well-known Gerdjikov-Ivanov (GI) hierarchy with two potential functions is obtained. With the help of different choices of the modified terms, two expanding integrable systems are