New Integrable Nonlocal Nonlinear Equations and Solitons
Duration: 59 mins 25 secs
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About this item
| Description: |
Ablowitz, M
Monday 9th September 2019 - 10:00 to 11:00 |
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| Created: | 2019-09-09 15:10 |
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| Collection: | The complex analysis toolbox: new techniques and perspectives |
| Publisher: | Isaac Newton Institute |
| Copyright: | Ablowitz, M |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| 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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