Novel approach for modified forms of Camassa-Holm and Degasperis-Procesi equations using fractional operator

P Veeresha,D G Prakasha

Table 1. Comparison study of obtained results for mCH equation and results achieved by HPM [19] at $\hslash =-1$ and $n=1.$

$t$ $x$ ${v}_{\left|\mathrm{HPM} \mbox{-} \mathrm{Exact}\right|}$ ${v}_{\left|q \mbox{-} \mathrm{HATM} \mbox{-} \mathrm{Exact}\right|}$ $0.05$ $8$ $2.80771\times {10}^{-4}$ $2.78618\times {10}^{-4}$ $9$ $1.03633\times {10}^{-4}$ $5.86830\times {10}^{-4}$ $10$ $3.8170\times {10}^{-5}$ $9.27737\times {10}^{-4}$ $0.1$ $8$ $5.91138\times {10}^{-4}$ $1.30477\times {10}^{-3}$ $9$ $2.18174\times {10}^{-4}$ $1.03341\times {10}^{-4}$ $10$ $8.03570\times {10}^{-5}$ $2.17590\times {10}^{-4}$ $0.15$ $8$ $9.34203\times {10}^{-4}$ $3.43893\times {10}^{-4}$ $9$ $3.44769\times {10}^{-4}$ $4.83516\times {10}^{-4}$ $10$ $1.26982\times {10}^{-4}$ $3.81314\times {10}^{-5}$ $0.2$ $8$ $1.31339\times {10}^{-3}$ $8.02785\times {10}^{-5}$ $9$ $4.84685\times {10}^{-4}$ $1.26863\times {10}^{-4}$ $10$ $1.78511\times {10}^{-4}$ $1.78353\times {10}^{-4}$