Weakly nonlinear wavepackets in the Korteweg–de Vries equation: the KdV/NLS connection

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Weakly Nonlinear Wavepackets in the Korteweg-deVries Equation: The KdV/NLS Connection

If the initial condition for the Korteweg-deVries (KdV) equation is a weakly nonlinear wavepacket, then its evolution is described by the Nonlinear Schrödinger (NLS) equation. This KdV/NLS connection has been known for many years, but its various aspects and implications have been discussed only in asides. In this note, we attempt a more focused and comprehensive discussion including such as is...

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ژورنال

عنوان ژورنال: Mathematics and Computers in Simulation

سال: 2001

ISSN: 0378-4754

DOI: 10.1016/s0378-4754(00)00291-3