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New Integrable Nonlocal Nonlinear Equations and Solitons

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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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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