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Routh reduction for first-order Lagrangian field theories

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We present a reduction theory for first-order Lagrangian field theories which takes into account the conservation of momenta. The relation between the solutions of the original problem with a prescribed… Click to show full abstract

We present a reduction theory for first-order Lagrangian field theories which takes into account the conservation of momenta. The relation between the solutions of the original problem with a prescribed value of the momentum and the solutions of the reduced problem is established. An illustrative example is discussed in detail.

Keywords: reduction; first order; field theories; lagrangian field; order lagrangian

Journal Title: Letters in Mathematical Physics
Year Published: 2018

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