Soliton Equations and Hamiltonian Systems 论文
1991Advanced series in mathematical physics引用 755
Nonlinear Waves and SolitonsMatrix Theory and AlgorithmsNumerical methods for differential equations
详细信息
- 发表期刊/会议
- Advanced series in mathematical physics
- 发表日期
- 1991-09-01
- 发表年份
- 1991
关键词
Nonlinear Waves and SolitonsMatrix Theory and AlgorithmsNumerical methods for differential equations
摘要
The theory of soliton equations and integrable systems has developed rapidly during the last 30 years with numerous applications in mechanics and physics. For a long time, books in this field have not been written but the flood of papers was overwhelming: many hundreds, maybe thousands of them. All this output followed one single work by Gardner, Green, Kruskal, and Mizura on the Korteweg-de Vries equation (KdV), which had seemed to be merely an unassuming equation of mathematical physics describing waves in shallow water. Besides its obvious practical use, this theory is attractive also becau