Periodic ILW equation with discrete Laplacian

DOI10.1088/1751-8113/42/40/404018zbMath1191.37035arXiv0904.2644OpenAlexW3099078894MaRDI QIDQ3654311

Jun'ichi Shiraishi, Yohei Tutiya

Publication date: 5 January 2010

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

Full work available at URL: https://arxiv.org/abs/0904.2644

zbMATH Keywords

doubly periodic functionssingular integral termintegrable differential equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Integro-differential operators (47G20) Integro-partial differential equations (35R09)

Related Items (8)

Generalized ILW hierarchy: solutions and limit to extended lattice GD hierarchy ⋮ Defects and quantum Seiberg-Witten geometry ⋮ Self-dual form of Ruijsenaars-Schneider models and ILW equation with discrete Laplacian ⋮ On some special solutions to periodic Benjamin-Ono equation with discrete Laplacian ⋮ On dimensional transmutation in 1 + 1D quantum hydrodynamics ⋮ Quantum hydrodynamics from large-\(n\) supersymmetric gauge theories ⋮ On elliptic algebras and large-n supersymmetric gauge theories ⋮ Lax operator for Macdonald symmetric functions

This page was built for publication: Periodic ILW equation with discrete Laplacian