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New Integrable Nonlocal Nonlinear Equations and Solitons

Presented by: 
Mark Ablowitz University of Colorado, University of Colorado Boulder
Date: 
Monday 9th September 2019 - 10:00 to 11:00
Venue: 
INI Seminar Room 1
Abstract: 
Solitons and the Inverse Scattering Transform (IST) are well known in the Math/Physics community. Motivated by recent
results in physics involving PT symmetry a surprisingly large number of `simple’ integrable nonlocal wave equations
have been identified; their solutions, including solitons and properties will be discussed. The method, IST, requires substantial
complex analysis. The nonlocal nonlinear Schrodinger equations arise universally; they are related to complex solutions of
the Korteweg-deVries, nonlinear Klein-Gordon and water wave equations.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons