天元讲堂(9.14) Gaussian integrals and KdV equation
报告题目: Gaussian integrals and KdV equation
报告人 S. Kotani(大阪大学)
报告人 S. Kotani(大阪大学)
报告摘要 n-soliton solutions to the KdV equation are given by twice derivative of logarithm of determinant of nxn positive definite matrices. On the other hand, Any determinant of positive definite matrix can be described by a multi-dimensional Gaussian integral. This representation allows us to obtain infinite-soliton solutions easily. In the talk I will explain its merit and demerit.