Solitary Wave Solutions for a Time-Fraction Generalized Hirota-Satsuma Coupled KdV Equation by a New Analytical Technique

Table 2

Numerical values when 𝛼=0.5, 0.75, 1.0 and 𝑘=0.1, 𝛽=1.5, 𝑐₀=1.5, 𝑐₁=0.1 for 𝑣(𝑥,𝑡).

𝑡	𝑥	𝛼=0.5		𝛼=0.75		𝛼=1.0
		𝑣FIM	𝑣HPM	𝑣FIM	𝑣HPM	𝑣FIM	𝑣HPM	𝑣Exact
0.2	0	−3.004851885	−3.009951963	−3.010186962	−3.011485031	−3.013961813	−3.013960000	−3.013961811
	0.25	−2.999873282	−3.004930481	−3.005175951	−3.006462592	−3.008937820	−3.008936014	−3.008937819
	0.5	−2.994919279	−2.999927784	−3.000183326	−3.001457026	−3.003927607	−3.003925818	−3.003927606
	0.75	−2.989995777	−2.994950010	−2.995215173	−2.996474487	−2.998937350	−2.998935586	−2.998937348
	1	−2.985108534	−2.990003168	−2.990277460	−2.991521007	−2.993973118	−2.993971391	−2.993973120
0.4	0	−2.998707345	−3.001587258	−3.003540427	−3.004319121	−3.007934500	−3.007920000	−3.007934475
	0.25	−2.993774914	−2.996584581	−2.998560913	−2.999314737	−3.002927784	−3.002913367	−3.002927763
	0.5	−2.988873896	−2.991611047	−2.993607731	−2.994336092	−2.997942249	−2.997927984	−2.997942228
	0.75	−2.984009951	−2.986672646	−2.988686777	−2.989389199	−2.992983946	−2.992969899	−2.992983924
	1	−2.979188572	−2.981775197	−2.983803790	−2.984479922	−2.988058789	−2.988045031	−2.988058768
0.6	0	−2.994081735	−2.994318388	−2.997767879	−2.997835535	−3.001928965	−3.001880000	−3.001928766
	0.25	−2.989192682	−2.989342884	−2.992826759	−2.992857834	−2.996948389	−2.996899772	−2.996948197
	0.5	−2.984339775	−2.984405468	−2.987918608	−2.987913837	−2.991996239	−2.991948208	−2.991996054
	0.75	−2.979528475	−2.979511953	−2.983049116	−2.983009390	−2.987078404	−2.987031190	−2.987078224
	1	−2.974764060	−2.974667936	−2.978223778	−2.978150144	−2.982200600	−2.982154433	−2.982200431