Product PQ contour is depicted against the critical wave number kc and (a) the nonthermal parameter β for , (b) the ions effective temperature ration for , and (c) the ions effective temperature ration for . The yellow (white) color represents the region where the unstable (stable) pulses set in.
The existence region of growth rate as functions of modulation wave number kMI with (a) and (b) the nonthermality β where , (c) and (d) the ions effective temperature ration where .
The contour of the super rogue wave maximal amplitude is depicted against the wave number k and (a) β for , (b) for , and (c) for .
Profiles of the first- and second-order rational solutions and are presented, respectively. (a) and (b) Represent the absolute values of and respectively, (c) and (d) contour plot of the same solutions along ζ and τ, and (e) solid curve represents the magnitude of and dashed curve represent the magnitude of . Here, and , and k = 2.
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