Nonlinear Dispersive Partial Differential Equations and Inverse Scattering

• Corporate Author: SpringerLink (Online service)
• Other Authors: Miller, Peter D. (Editor, http://id.loc.gov/vocabulary/relators/edt), Perry, Peter A. (Editor, http://id.loc.gov/vocabulary/relators/edt), Saut, Jean-Claude (Editor, http://id.loc.gov/vocabulary/relators/edt), Sulem, Catherine (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Fields Institute Communications, 83
• Subjects: Partial differential equations.; Partial Differential Equations.

This volume contains lectures and invited papers from the Focus Program on "Nonlinear Dispersive Partial Differential Equations and Inverse Scattering" held at the Fields Institute from July 31-August 18, 2017. The conference brought together researchers in completely integrable systems an...

Table of Contents:

• Fifty years of KdV: an integrable system (P. Deift)
• Wave turbulence and complete integrability (P. Gerard)
• Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST, and PDE (J.-C. Saut)
• Inverse scattering and global well-posedness in one and two dimensions (P. Perry)
• Dispersive asymptotics for linear and integrable equations by the d-bar steepest descent method (M. Dieng, K. McLaughin, P. Miller)
• Instability of solutions in the 2d Zakharov-Kuznetzov equation (L. Farah, J. Holmer, S. Roudenko)
• On the nonexistence of local, gauge-invariant Birkhoff coordinates for focussing NLS equation (T. Kappeler, P. Topalov)
• Extended decay properties for generalized BBM equation (C. Kwok, C. Munoz)
• Ground state solutions of the complex Gross-Pitaevskii equation (T. Mizumachi)
• Inverse scattering for the massive Thirring model (D. Pelinovsky, A. Saalman)
• Anomolous (rogue) waves in nature, their recurrence, and the nonlinear Schrodinger model (P. Santini, P. Grinevich). .