Abstract
A class of spatially one-dimensional completely integrable Chaplygin hydrodynamic systems was studied within framework of Lie-algebraic approach. The Chaplygin hydrodynamic systems were considered as differential systems on the torus. It has been shown that the geometric structure of the systems under analysis has strong relationship with diffeomorphism group orbits on them. It has allowed to find a new infinite hierarchy of integrable Chaplygin like hydrodynamic systems.
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference15 articles.
1. Integrable Models;Das,1989
2. Solitons: An Introduction;Drazin,1989
3. Hamiltonian Approach in Soliton Theory;Takhtajan,1987
4. On the integrability of a class of Monge–Ampére equations;Brunelli;Rev. Math. Phys.,2001
5. On a class of integrable systems of Monge-Ampère type
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献