Perturbation analysis of modulated line solitons in the KP equation shows that shock waves in the modulation system generate new solitons while rarefaction waves produce parabolic solitons, with numerical agreement.
Kodama, The Whitham equations for optical communicat ions: Mathematical theory of NRZ
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Regularizations for shock and rarefaction waves in the perturbed solitons of the KP equation
Perturbation analysis of modulated line solitons in the KP equation shows that shock waves in the modulation system generate new solitons while rarefaction waves produce parabolic solitons, with numerical agreement.