Download - Akademi Sains Malaysia
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36<br />
Journal of Science and Technology in the Tropics<br />
Figure 2(a) has been plotted to observe the effect of different parameters on<br />
the amplitudes of solitons. In this figure the amplitude of KdV soliton (dotted line)<br />
, the amplitude of dressed soliton (solid line) and the amplitude of higher<br />
order correction(dashed line) are drawn aganistκ . The other parameters are<br />
λ = 0.3 , m<br />
i<br />
= 0.5 , m<br />
e<br />
= 0.5 , σ = 0.15 , α = 1and β = 1. It is seen that the amplitude of<br />
KdV, the amplitude higher order correction and the amplitude of dressed soliton<br />
decreses rapidly and then increses slowly with the increse ofκ througout the<br />
region. But the amplitude of higher order correction never exceed the amplitude<br />
of the KdV soliton. So the dressed soliton is physical for all values ofκ .<br />
<br />
(1)<br />
Figure 2. Top: 2(a) The amplitudes of the KdV soliton (dotted line) ψ ,<br />
(2)<br />
the higher order correction (dashed line) ψ and dressed soliton (solid line)<br />
ψ are plotted against κ . The other parameters are λ = 0.3 , m<br />
i<br />
= 0.5 ,<br />
m<br />
e<br />
= 0.5 , σ = 0.15 , α = 1 and β = 1. Bottom: 2(b) The amplitude of<br />
KdV (dotted line), the amplitude of the higher order correction (dashed line)<br />
and the amplitude of the dressed soliton (solid line) is plotted against λ . The<br />
other parameters are, κ = 1.5 , m<br />
i<br />
= 0.5 , m<br />
e<br />
= 0.5 , σ = 0.15 , α = 1 and<br />
β = 1.<br />