The link between the singularity manifold equation and the pseudopotential equations is found for nonlinear evolution equations both in 1+1 and 2+1 dimensions. Many examples are given: Burgers, Korteweg-de Vries, modified Korteweg-de Vries, Harry Dym, a higher-order Korteweg-de Vries, Sawada-Kotera, Kaup-Kuperschmidt, Kadomtsev-Petviashvili, Boussinesq, modified Kadomtsev-Petviashvili, and (2+1)-dimensional Sawada-Kotera equations.

Painlevè property and pseudopotentials for nonlinear evolution equations

NUCCI, Maria Clara
1989

Abstract

The link between the singularity manifold equation and the pseudopotential equations is found for nonlinear evolution equations both in 1+1 and 2+1 dimensions. Many examples are given: Burgers, Korteweg-de Vries, modified Korteweg-de Vries, Harry Dym, a higher-order Korteweg-de Vries, Sawada-Kotera, Kaup-Kuperschmidt, Kadomtsev-Petviashvili, Boussinesq, modified Kadomtsev-Petviashvili, and (2+1)-dimensional Sawada-Kotera equations.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/909492
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