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

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/909492
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 60
  • ???jsp.display-item.citation.isi??? ND
social impact