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A new infinite-dimensional Kirillov's structure related with nonlinear evolution equations

✍ Scribed by L. Martínez Alonso

Publisher
Springer
Year
1981
Tongue
English
Weight
162 KB
Volume
5
Category
Article
ISSN
0377-9017

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✦ Synopsis

An infinite-dimensional Lie algebra is presented whose associated Kirillov's operator leads to a Hamlltonian structure arising in the analysis of certain nonlinear evolution equations.

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Algebro-geometric solutions to a hierarchy of (1 + 1)-dimensional and two new (2 + 1)-dimensional nonlinear evolution equations
✍ Jinbing Chen 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 193 KB

Two new 2 + 1 dimensional nonlinear evolution equations are presented. The 2 + 1 dimensional equations closely relate with a hierarchy of 1 + 1 dimensional soliton equations. Through nonlinearizing of Lax pairs, the 1 + 1 dimensional evolution equations are decomposed to the finite dimensional integ