Localized induction equation, Heisenberg chain, and nonlinear Schrodinger equation

Joel Langer; Ron Perline

doi:10.48550/arxiv.solv-int/9404001

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Localized induction equation, Heisenberg chain, and nonlinear Schrodinger equation

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Localized induction equation, Heisenberg chain, and nonlinear Schrodinger equation

Joel Langer and Ron Perline

04 Apr 1994

DOI: https://doi.org/10.48550/arxiv.solv-int/9404001

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Abstract

Physics - Exactly Solvable and Integrable Systems

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 constructions. In this paper, these interrelationships are further explained in terms of the recursion operator for the Localized Induction Equation, and the recursion operator is seen to play a variety of roles in key geometric variational formulas.

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Title: Localized induction equation, Heisenberg chain, and nonlinear Schrodinger equation
Creators: Joel Langer - Case Western Reserve University
Ron Perline - Drexel University
Resource Type: Preprint
Language: English
Academic Unit: Mathematics
Other Identifier: 991021880187904721

Localized induction equation, Heisenberg chain, and nonlinear Schrodinger equation

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Abstract

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