Nonlinear Evolution Equations for Broader Bandwidth Wave Packets in Crossing Sea States

<table>Growth rate of instability <svg height="16.4125" id="M120" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 84.675003 16.4125" width="84.675003" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> against perturbation wavenumber <svg height="11.175" id="M121" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 9.8249998 11.175" width="9.8249998" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> at fourth order for narrow band wave packets, <svg height="12.4375" id="M122" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 44.325001 12.4375" width="44.325001" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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International Journal of Oceanography

fig2

Figure 2

Figure 2: Nonlinear Evolution Equations for Broader Bandwidth Wave Packets in Crossing Sea States 