Lagrangian Reductions and Integrable Systems in Condensed Matter

Gay-Balmaz, François ; Monastyrsky, Michael ; Ratiu, Tudor

In: Communications in Mathematical Physics, 2015, vol. 335, no. 2, p. 609-636

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    Summary
    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.