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.
Citation:
M. V. Pavlov, “Nonlinear Schrödinger equation and the bogolyubov-whitham method of averaging”, TMF, 71:3 (1987), 351–356; Theoret. and Math. Phys., 71:3 (1987), 584–588
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