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The differential equation's solution meets the integrability and Fadeev conditions:{{sfn|Drazin|Johnson|1989}}{{rp|40}}
:Integrability condition:<math>\int^{\infty}_{-\infty} \ |u(x)| \ dx \ < \infty</math>
:Fadeev condition: <math>\int^{\infty}_{-\infty} \ (1+|x|
===Differential operator pair===
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