AbstractThis is an introductory course on elliptic integrals and elliptic functions for advanced undergraduate students and graduate students who are not familiar with the subject.An elliptic function is defined as a doubly periodic meromorphic function on the complex plane. The study of elliptic integrals started by Fagnano, Legendre, Gauss and others in the eighteenth century was turned into ...
AbstractIn this talk, we will show a bilinear framework for elliptic soliton solutions which are composed by the Lamé-type plane wave factors.τfunctions in Hirota’s form are derived and vertex operators that generate suchτfunctions are presented. Bilinear identities are constructed and an algorithm to calculate residues and bilinear equations is formulated. These are investigated in detail f...