A Noncommutative Version of the Nonlinear Schrodinger Equation
arXiv:hep-th/0007015
Abstract
We apply a (Moyal) deformation quantization to a bicomplex associated with the classical nonlinear Schrodinger equation. This induces a deformation of the latter equation to noncommutative space-time while preserving the existence of an infinite set of conserved quantities.
12 pages, LaTeX using amssymb.sty
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Cited by in corpus (9)
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- Noncommutative Solitons and D-branes
- Some properties of the integrable noncommutative sine-Gordon system
- Noncommutative Korteweg-de-Vries Equation
- Non-commutative solitons and strong-weak duality
- On non commutative sinh-Gordon Equation
- Conserved Quantities in Noncommutative Principal Chiral Model with Wess-Zumino Term
- About the self-dual Chern-Simons system and Toda field theories on the noncommutative plane
- Noncommutative (generalized) sine-Gordon/massive Thirring correspondence, integrability and solitons