Quantization of finite-gap potentials and nonlinear quasiclassical approximation in nonperturbative string theory

DOI10.1007/BF01077334zbMath0734.35114MaRDI QIDQ810759

S. P. Novikov

Publication date: 1990

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

asymptotic methodLax pairsconformal string theory

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items (5)

A note on the averaging for single-phase elliptic solutions of the Toda and the Volterra lattices ⋮ Asymptotic classification of solutions to the first discrete Painlevé equation ⋮ Asymptotics of solutions of the discrete string equation ⋮ Non-autonomous reductions of the KdV equation and multi-component analogs of the Painlevé equations P34 and P3 ⋮ ``Quantizations of the second Painlevé equation and the problem of the equivalence of its \(L-A\) pairs

Cites Work

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• Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
• ON A PAINLEVÉ-TYPE BOUNDARY-VALUE PROBLEM
• Commutative rings of ordinary linear differential operators

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