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

P Veeresha,D G Prakasha

Table 2. Comparison study of obtained results with different fractional operators for mDP equation and results achieved by HPM [19] at $\hslash =-1$ and $n=1.$

$t$ $x$ ${v}_{\left|\mathrm{HPM} \mbox{-} \mathrm{Exact}\right|}$ ${v}_{\left|q \mbox{-} \mathrm{HATM} \mbox{-} \mathrm{Exact}\right|}$ $0.05$ $8$ $3.33255\times {10}^{-4}$ $3.30732\times {10}^{-4}$ $9$ $1.23003\times {10}^{-4}$ $7.05929\times {10}^{-4}$ $10$ $4.53050\times {10}^{-5}$ $1.13149\times {10}^{-3}$ $0.1$ $8$ $7.10978\times {10}^{-4}$ $1.61409\times {10}^{-3}$ $9$ $2.62396\times {10}^{-4}$ $1.22660\times {10}^{-4}$ $10$ $9.66440\times {10}^{-5}$ $2.61711\times {10}^{-4}$ $0.15$ $8$ $1.13907\times {10}^{-3}$ $4.19332\times {10}^{-4}$ $9$ $4.20359\times {10}^{-4}$ $5.97992\times {10}^{-4}$ $10$ $1.54820\times {10}^{-4}$ $4.52587\times {10}^{-5}$ $0.2$ $8$ $1.62421\times {10}^{-3}$ $9.65514\times {10}^{-5}$ $9$ $5.99362\times {10}^{-4}$ $1.54681\times {10}^{-4}$ $10$ $2.20743\times {10}^{-4}$ $2.20558\times {10}^{-4}$