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About
President
Governance
Partner Institutions
Visit
People
Management
Faculty
Postdocs
Visiting Scholars
Staff
Research
Research Groups
Courses
Seminars
Join Us
Faculty
Postdocs
Students
Events
Conferences
Workshops
Forum
Life @ BIMSA
Accommodation
Transportation
Facilities
Tour
News
News
Announcement
Downloads
Qiuzhen College, Tsinghua University
Yau Mathematical Sciences Center, Tsinghua University (YMSC)
Tsinghua Sanya International  Mathematics Forum (TSIMF)
Shanghai Institute for Mathematics and  Interdisciplinary Sciences (SIMIS)
BIMSA > Topics in Integrability Lamé function and elliptic deformation of KdV vertex operators
Lamé function and elliptic deformation of KdV vertex operators
Organizers
Anton Dzhamay , Xin Xing Tang , Li Wang
Speaker
Xing Li
Time
Tuesday, May 2, 2023 2:00 PM - 4:00 PM
Venue
1110
Online
Zoom 388 528 9728 (BIMSA)
Abstract
In 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 for the KdV equation and sketched for the KP hierarchy. Degenerations by the periods of elliptic functions are investigated, giving rise to the bilinear framework associated with trigonometric/hyperbolic and rational functions. Reductions by dispersion relation are considered by employing the so-called elliptic N-th roots of the unity. τfunctions, vertex operators and bilinear equations of the KdV hierarchy and Boussinesq equation are obtained from those of the KP.
Beijing Institute of Mathematical Sciences and Applications
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