Multidimensional integrable deformations of integrable PDEs

DOI10.1088/1751-8121/ad0ac8arXiv2305.08449OpenAlexW4388483690MaRDI QIDQ6197772

Matteo Casati, Dan-Da Zhang

Publication date: 19 February 2024

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

Full work available at URL: https://arxiv.org/abs/2305.08449

zbMATH Keywords

conservation lawsintegrable hierarchiesLax integrability

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51)

Cites Work

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• Inverse scattering transform as an operator method in quantum field theory
• An integrable shallow water equation with peaked solitons
• Deformation conjecture: deforming lower dimensional integrable systems to higher dimensional ones by using conservation laws

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