Fig. 14 | Scientific Reports

Fig. 14

From: Optical soliton wave profiles for the (2 + 1)-dimensional complex modified Korteweg–de Vries system with the impact of fractional derivative via analytical approach

Fig. 14

Two-dimensional, three-dimensional, and contour visualizations of \(|v_{11}|\), illustrating the effect of time on wave propagation for the chosen parameter values \(m = 0.8,\quad \sigma = -1,\quad a_1 = 0.5,\quad a_2 = 0.5,\quad a_3 = 1,\quad y = 0,\quad \alpha = 1,\quad \gamma = 0.8,\quad c = 0.1.\).

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