The Soliton Solutions and Long-Time Asymptotic Analysis for a General Coupled KdV Equation

Figure 2

(a, d) Time evolution of the 2-soliton solutions and with parameters , respectively. (b, e) Soliton interaction shots of and at , , and . Two solitons travel from right to left and pass through each other while their shapes well-maintained, implying perfect elasticity of the collision. (c, f) Density profile of the collision progress of and , showing the velocity keep invariable and phase shift after interaction. (a) . (b) . (c) . (d) . (e) . (f) .

(a)

(b)

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(d)

(e)

(f)