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Water Waves and KdV Equation
https://doi.org/10.1142/9789812565747_0005Cited by:0 (Source: Crossref)
Abstract:
The following sections are included:
Physical Background: Long Waves in Shallow Water
Simple Diffeomorphic Flow
Commutator and metric of D(S1)
Geodesic equation on D(S1)
Sectional curvatures on D(S1)
Central Extension of D(S1)
KdV Equation as a Geodesic Equation on
Killing Field of KdV Equation
Killing equation
Isometry group
Integral invariant
Sectional curvature
Conjugate point
Sectional Curvatures of KdV System
