Kac-Moody symmetry of generalized non-linear Schrödinger equations

A. D.W.B. Crumey*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


The classical non-linear Schrödinger equation associated with a symmetric Lie algebra g{script}=k⊕m is known to possess a class of conserved quantities which from a realization of the algebra k⊗ℂ [λ]. The construction is now extended to provide a realization of the Kac-Moody algebra k⊗ℂ[λ, λ-1] (with central extension). One can then define auxiliary quantities to obtain the full algebra g{script}⊗ℂ[λ, λ-1]. This leads to the formal linearization of the system.

Original languageEnglish
Pages (from-to)167-179
Number of pages13
JournalCommunications in Mathematical Physics
Issue number2
Publication statusPublished - Jun 1987
Externally publishedYes


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