In the recent literature, several equations have been studied with purported new approaches because the authors claim that these equations were not amenable to exact treatment using known methods. But we show that all these equations have sufficient Lie point symmetries to make them integrable by quadrature, if not linearizable. When one gets a “miraculous haul of fishes,” namely, exact methods of solution, first integrals, even linearization, then Lie symmetries shall be found. Lie group analysis was and should still be considered an essential tool for anyone who wants to solve equations of relevance in physics and other scientific fields.

Let's Lie: a miraculous haul of fishes / NUCCI, Maria Clara. - In: THEORETICAL AND MATHEMATICAL PHYSICS. - ISSN 0040-5779. - STAMPA. - 144:2(2005), pp. 1214-1222.

Let's Lie: a miraculous haul of fishes

NUCCI, Maria Clara
2005

Abstract

In the recent literature, several equations have been studied with purported new approaches because the authors claim that these equations were not amenable to exact treatment using known methods. But we show that all these equations have sufficient Lie point symmetries to make them integrable by quadrature, if not linearizable. When one gets a “miraculous haul of fishes,” namely, exact methods of solution, first integrals, even linearization, then Lie symmetries shall be found. Lie group analysis was and should still be considered an essential tool for anyone who wants to solve equations of relevance in physics and other scientific fields.
2005
Let's Lie: a miraculous haul of fishes / NUCCI, Maria Clara. - In: THEORETICAL AND MATHEMATICAL PHYSICS. - ISSN 0040-5779. - STAMPA. - 144:2(2005), pp. 1214-1222.
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/11585/916184
 Attenzione

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

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 2
social impact