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Lagrangian reductions and integrable systems in condensed matter

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

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