supported by National Natural Science Foundation of China(Grant No.12071455);supported by National Natural Science Foundation of China(Grant No.11871428)。
In this paper,we develop twofinite difference weighted essentially non-oscillatory(WENO)schemes with unequal-sized sub-stencils for solving the Degasperis-Procesi(DP)andµ-Degasperis-Procesi(µDP)equations,which conta...