A new constrained mKP hierarchy and the generalized Darboux transformation for the mKP equation with self-consistent sources

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