Nonlinear wave equations and integrable systems
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Organizer(s): |
Name:
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Affiliation:
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Country:
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Zhijun (George) Qiao
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University of Texas Rio Grande Valley
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USA
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Stephen Anco
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Brock University
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Canada
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Vesselin Vatchev
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UTRGV
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USA
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Abstract:
| | Nonlinear dispersive wave equations appear in many fields, including fluid mechanics, plasma physics, optics, and differential geometry. There has been much recent work on the study of these equations, especially ones that describe water wave propagation, rogue waves, peaked solitary waves, yet many interesting questions and problems remain to be solved. This session will bring together researchers at all career stages to share their recent results on various topics related to integrable systems, nonlinear dispersive equations, rogue waves, peakon, and various nonlinear soliton models. Special topics will focus on (but not be restricted to) rogue waves, peaked solitary waves, negative flows and their integrability structure, reciprocal/Liouville transformations, Hamiltonian structures, conservation laws relating negative flows and peakon equations, as well as other developments in the qualitative mathematical analysis, such as local and global well-posedness, stability, asymptotic behavior of solutions of solitary wave models. |
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List of approved abstract |
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