Fig. 7 | Scientific Reports

Fig. 7

From: Chaotic analysis, hopf bifurcation and collision of optical periodic solitons in (2+1)-dimensional degenerated Biswas–Milovic equation with Kerr law of nonlinearity

Fig. 7

In this figure, a. 3D, b. contour and c. 2D depict the dynamics of \(Re({P}_{3,4}(t,x,y))\), d. 3D, e. contour and f. 2D depict the dynamics of \(Im({P}_{3,4}(t,x,y))\) whereas g. 3D, h. contour and i. 2D depict the dark shaped intensity profiles \(|{P}_{3,4}(t,x,y)|\) of \({P}_{3,4}(t,x,y)\) given in (44) at \(\varpi = 2, \rho = 2, \varrho = 1, \lambda = 0.0065, \vartheta = 5, t = 100, d_{0} = 2, e_{0} = 1, p = 0.005, q = 1, \mu = 0.002\). Moreover, the Hopf bifurcations in 2D are shown for \(y=0.5\).

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