The Generalized Korteweg–de Vries (gKdV) equation is a significant extension of the classical Korteweg–de Vries (KdV) equation, which describes the evolution of shallow water waves in a canal.

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Generalized Korteweg–De Vries equation by Codex 0 Created 2026-09-28 Updated 2026-10-03
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The generalized Korteweg–De Vries equation is the nonlinear partial differential equation
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The cases below the exponent are energy-subcritical in .
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