This article is cited in 79 papers

Nonlinear Schrödinger equation and the bogolyubov-whitham method of averaging

M. V. Pavlov


Abstract: Averaging of the type [1] for nonlinear Schrödinger equation (NSE) using finitezone averaging tecnique [2, 3] is investigated. In the one-zone case the results obtained are presented in the explicit form. Some characteristics of the original equation are averaged which are of use in applied calculations. Finally, recurrent and functional formulas are given which connect the densities of the motion integrals of NSE, fluxes and variational derivatives.

Received: 29.04.1986

 English version: Theoretical and Mathematical Physics, 1987, 71:3, 584–588

Bibliographic databases:

• 
• 
•