Derives explicit closed-form instability index for the Benjamin-Feir spectrum of hydroelastic Stokes waves, producing a three-parameter stability diagram in depth, surface tension and bending rigidity that recovers known limits and shows resonance disappearance for b≥1/14 or κ≥1/2.
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Benjamin-Feir spectrum of hydroelastic Stokes waves
Derives explicit closed-form instability index for the Benjamin-Feir spectrum of hydroelastic Stokes waves, producing a three-parameter stability diagram in depth, surface tension and bending rigidity that recovers known limits and shows resonance disappearance for b≥1/14 or κ≥1/2.