A method is presented which allows the explicit construction of the gradients of action and angle variables related to the dynamics of soliton eigenfunction equations. The interacting soliton equations, as well as the Lax-pair eigenfunctions, related to a number of known completely integrable systems are taken as examples to illustrate the method. Among these are the Korteweg de Vries, the modified Korteweg de Vries, the nonlinear Schr¨odinger equation and a ZS-system.
The action-angle transformation for interacting solitons and the dynamics of eigenfunctions for soliton equations / Benno, Fuchssteiner; Boris, Konopelchenko; Carillo, Sandra. - In: RENDICONTI DI MATEMATICA E DELLE SUE APPLICAZIONI. - ISSN 1120-7183. - STAMPA. - II:VII(1991), pp. 351-376.
The action-angle transformation for interacting solitons and the dynamics of eigenfunctions for soliton equations
CARILLO, Sandra
1991
Abstract
A method is presented which allows the explicit construction of the gradients of action and angle variables related to the dynamics of soliton eigenfunction equations. The interacting soliton equations, as well as the Lax-pair eigenfunctions, related to a number of known completely integrable systems are taken as examples to illustrate the method. Among these are the Korteweg de Vries, the modified Korteweg de Vries, the nonlinear Schr¨odinger equation and a ZS-system.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
