Preface: Mark J. Ablowitz, nonlinear waves and integrable systems. Part I

DOI10.1111/sapm.12140zbMath1347.35005OpenAlexW2559865567MaRDI QIDQ2816381

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Publication date: 22 August 2016

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/sapm.12140

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Biographies, obituaries, personalia, bibliographies (01A70) History of mathematics in the 21st century (01A61) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) History of optics and electromagnetic theory (78-03) History of partial differential equations (35-03) History of dynamical systems and ergodic theory (37-03)

Cites Work

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• Inverse Scattering Transform for the Focusing Ablowitz-Ladik System with Nonzero Boundary Conditions
• Direct Scattering for the Benjamin-Ono Equation with Rational Initial Data
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• On Airy Solutions of the Second Painlevé Equation
• Bianchi Permutability for the Anti-Self-Dual Yang-Mills Equations
• New Solvable Variants of the Goldfish Many-Body Problem
• Nonlinear-Evolution Equations of Physical Significance
• On the Inverse Scattering of the Time-Dependent Schrödinger Equation and the Associated Kadomtsev-Petviashvili (I) Equation
• Asymptotic Analysis of Pulse Dynamics in Mode-Locked Lasers
• Nonlinear differential–difference equations and Fourier analysis
• A Nonlinear Difference Scheme and Inverse Scattering
• Asymptotic Solutions of the Korteweg-deVries Equation
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• The Inverse Scattering Transform for the Benjamin‐Ono Equation—A Pivot to Multidimensional Problems
• The Generalized Chazy Equation from the Self‐Duality Equations
• On a new non-local formulation of water waves
• The Evolution of Multi‐Phase Modes for Nonlinear Dispersive Waves

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