On the Benney hierarchy: free energy, string equation and quantization

DOI10.1088/0305-4470/34/2/304zbMath0965.37053arXivnlin/0009026OpenAlexW3098646575MaRDI QIDQ2716207

Ming-Hsien Tu, Jen-Hsu Chang

Publication date: 6 June 2001

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0009026

zbMATH Keywords

string equationtwo-dimensional gravityBenney hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) PDEs in connection with quantum mechanics (35Q40) Spinor and twistor methods applied to problems in quantum theory (81R25) Topological field theories in quantum mechanics (81T45)

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