Duality of positive and negative integrable hierarchies via relativistically invariant fields
Sign Up to like & getrecommendations! Published in 2021 at "Journal of High Energy Physics"
DOI: 10.1007/jhep07(2021)058
Abstract: Abstract It is shown that the relativistic invariance plays a key role in the study of integrable systems. Using the relativistically invariant sine-Gordon equation, the Tzitzeica equation, the Toda fields and the second heavenly equation… read more here.
Keywords: duality; hierarchy; formal series; positive negative ... See more keywords
Lax pairs, recursion operators and bi-Hamiltonian representations of (3+1)-dimensional Hirota type equations
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2018.11.008
Abstract: Abstract We consider (3+1)-dimensional second-order evolutionary PDEs where the unknown u enters only in the form of the 2nd-order partial derivatives. For such equations which possess a Lagrangian, we show that all of them have… read more here.
Keywords: lax pairs; form; pairs recursion; recursion operators ... See more keywords