Quantum nonlinear wave interaction system

DOI10.1016/0167-2789(86)90197-1zbMath0617.58050OpenAlexW2011808047MaRDI QIDQ1822119

Petr P. Kulish

Publication date: 1986

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(86)90197-1

zbMATH Keywords

Bethe ansatzquantum spectral transform methodquantum three-wave interaction system

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Applications of quantum theory to specific physical systems (81V99) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Quantization of the Kadomtsev-Petviashvili equation, Exact solution of the boson-fermion model with two bands., Quantum integrability and quantum groups: a special issue in memory of Petr P Kulish, One-dimensional model of chiral fermions with Feshbach resonant interactions

Cites Work

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• Nonlinear Schrödinger equations and simple Lie algebras
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Diagonalisation of GL(N) invariant transfer matrices and quantum N-wave system (Lee model)
• The general structure of integrable evolution equations
• Method for Solving the Korteweg-deVries Equation