A variational method to study the Zakharov equation (Q2368492)

The author applies Ritz variational principle based on the Zakharov-Lagrangian to solve the Zakharov equation, which may be a model for both linear and nonlinear evolution of some instabilities in a wave system or flow. Spatial variance of trial function was assumed a priori, wile time dependence of its parameters was subject to optimization. The crucial point, finding an appropriate trial function, was solved by introducing the variability to parameters of a stationary solution of the Zakharov equation.