The paper presents new discontinuous Galerkin schemes for the Ostrovsky-Vakhnenko equation, with proofs of energy stability or Hamiltonian conservation, error estimates, and numerical tests for shock, peakon, cuspon, and loop solutions.
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Discontinuous Galerkin methods for the Ostrovsky-Vakhnenko equation
The paper presents new discontinuous Galerkin schemes for the Ostrovsky-Vakhnenko equation, with proofs of energy stability or Hamiltonian conservation, error estimates, and numerical tests for shock, peakon, cuspon, and loop solutions.