A correspondence between the family of cylindrical nonlinear Schrodinger (cNLS) equations and the one of cylindrical Korteweg-de Vries (cKdV) equations is constructed. It associates non stationary solutions of the first family with the ones of the second family. This is done by using a correspondence, recently found, between the families of generalized NLS equation and generalized KdV equation, and their solutions in the form of travelling waves, respectively. In particular, non-stationary soliton-like solutions of the cNLS equation can be associated with non-stationary soliton-like solutions of cKdV equation.
Cylindrical nonlinear Schroedinger equation versus cylindrical Korteweg-de Vries equation / Fedele, Renato; S., De Nicola; D., Grecu; P. K., Shukla; A., Visinescu. - STAMPA. - AIP Conf. Proc. vol. 1061:(2008), pp. 273-281. (Intervento presentato al convegno 2008 ICTP International Workshop on the Frontiers of Modern Plasma Physics tenutosi a Trieste, Italy nel 14-25 July, 2008).
Cylindrical nonlinear Schroedinger equation versus cylindrical Korteweg-de Vries equation
FEDELE, RENATO;
2008
Abstract
A correspondence between the family of cylindrical nonlinear Schrodinger (cNLS) equations and the one of cylindrical Korteweg-de Vries (cKdV) equations is constructed. It associates non stationary solutions of the first family with the ones of the second family. This is done by using a correspondence, recently found, between the families of generalized NLS equation and generalized KdV equation, and their solutions in the form of travelling waves, respectively. In particular, non-stationary soliton-like solutions of the cNLS equation can be associated with non-stationary soliton-like solutions of cKdV equation.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
