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.
NUCCI, M.C. (1989). Painlevè property and pseudopotentials for nonlinear evolution equations. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 22, 2897-2913.
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.File in questo prodotto:
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