2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/83631We present applications of variational -- wavelet approach to different forms of nonlinear (rational) rms envelope equations. We have the representation for beam bunch oscillations as a multiresolution (multiscales) expansion in the base of compactly supported wavelet bases.3 pages, 1 figure, JAC2000.cls, presented at LINAC 2000, paper MOE14Accelerator PhysicsMathematical PhysicsChaotic DynamicsComputational Physicstext