The famous Backlund theorem presented a method to construct a family of surfaces with K=-m^2 from a known surface with K=-m^2, i. e. the well-known Bcklund transformation. With the research and development of the soli...The famous Backlund theorem presented a method to construct a family of surfaces with K=-m^2 from a known surface with K=-m^2, i. e. the well-known Bcklund transformation. With the research and development of the soliton theory, Bcklund transformation has become an important method to find the solutions of soliton equations.At the same time, geometricians also pay attention to generalizing and developing the geometrical content of the Bcklund theorem. In refs. [4] and [5], the authors展开更多
基金the National Natural Science Foundation of China.
文摘The famous Backlund theorem presented a method to construct a family of surfaces with K=-m^2 from a known surface with K=-m^2, i. e. the well-known Bcklund transformation. With the research and development of the soliton theory, Bcklund transformation has become an important method to find the solutions of soliton equations.At the same time, geometricians also pay attention to generalizing and developing the geometrical content of the Bcklund theorem. In refs. [4] and [5], the authors
