Lagrangian reductions and integrable systems in condensed matter

François Gay-Balmaz (1) , Michael Monastyrsky (2) , Tudor Ratiu (3)

1 LMD - Laboratoire de Météorologie Dynamique (UMR 8539)
2 ITEP - Institute of Theoretical and Experimental Physics [Moscow]
3 CIB - Bernouilli Center [Lausanne]

We consider a general approach for the process of Lagrangian and Hamiltonian reduction by symmetries in chiral gauge models. This approach is used to show the complete integrability of several one dimensional texture equations arising in liquid Helium phases and neutron stars.

Domaines: Systèmes dynamiques [math.DS]

François Gay-Balmaz, Michael Monastyrsky, Tudor Ratiu. Lagrangian reductions and integrable systems in condensed matter. Communications in Mathematical Physics, 2015, 335 (2), pp.609-636. ⟨10.1007/s00220-015-2317-9⟩. ⟨hal-01396227⟩