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Various breathers and rogue waves for the coupled long wave short wave system

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Figure

Figure 1 Inclined periodic breather profiles of |p(x,t)|2 (a) and b(x,t) (b). The parameters are selected ask2 = l2 = 0.2, p0 = 0.5, q0 = 0.4, a = 1, b0 = –1
Figure 2 Ma breather profiles of |p(x,t)|2 (a) and b(x,t) (b). The parameters are selected as k2 = 0.1,p0 = a = b0 = 1, q0 = 0.04
Figure 3 Akhmediev breather profiles of |lp(x,t)|2 (a) and b(x,t) (b). The parameters are selected as2 = 0.1, p0 = a = b0 = 1, q0 = 0.04
Figure ).Obviously, the center of solution (.) is located at a fixed point (,) on the (x,t) plane,that is, this rogue wave given by (.) reaches its minimum or maximum at fixed center
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