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Nonlinear wave equations and constrained harmonic motion
Author(s) -
Percy Deift,
Fernando Lund,
Eugene Trubowitz
Publication year - 1980
Publication title -
proceedings of the national academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 5.011
H-Index - 771
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.77.2.716
Subject(s) - nonlinear system , korteweg–de vries equation , equations of motion , physics , mathematical analysis , classical mechanics , sine , mathematics , motion (physics) , quantum mechanics , geometry
The study of the Korteweg-deVries, nonlinear Schrödinger, Sine-Gordon, and Toda lattice equations is simply the study of constrained oscillators. This is likely to be true for any nonlinear wave equation associated with a second-order linear problem.

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