  Certain momentum-dependent terms in the fermion sector of the
Lorentz-violating Standard Model Extension (SME) yield solvable classical
lagrangians of a type not mentioned in the literature. These cases yield new
relatively simple examples of Finsler and pseudo-Finsler structures. One of the
cases involves antisymmetric $d$-type terms and yields a new example of a
relatively simple covariant lagrangian.
