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math.NA2019★ 2 cited
Discontinuous Galerkin methods for the Ostrovsky-Vakhnenko equation
Qian Zhang, Yinhua Xia
In this paper, we develop discontinuous Galerkin (DG) methods for the Ostrovsky-Vakhnenko (OV) equation, which yields the shock solutions and singular soliton solutions, such as pe…
math.NA2019★ 5 cited
Discontinuous Galerkin methods for short pulse type equations via hodograph transformations
Qian Zhang, Yinhua Xia
In the present paper, we consider the discontinuous Galerkin (DG) methods for solving short pulse (SP) type equations. The short pulse equation has been shown to be completely inte…