30 citations · 30 across the 4 of their papers we have counts for
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solv-int1994
Localized induction equation, Heisenberg chain, and nonlinear Schrodinger equation
Joel Langer, Ron Perline
The three equations named in the title are examples of infinite-dimensional completely integrable Hamiltonian systems, and are related to each other via simple geometric constructi…
solv-int1994
The planar filament equation
Joel Langer, Ron Perline
The planar filament equation and its relation to the modified Korteweg-deVries equation are studied in the context of Poisson geometry. The structure of the planar filament equatio…
solv-int1994★ 30 cited
Local Geometric Invariants of Integrable Evolution Equations
Joel Langer, Ron Perline
The integrable hierarchy of commuting vector fields for the localized induction equation of 3D hydrodynamics, and its associated recursion operator, are used to generate families o…