late nohighlight">\(w =\displaystyle\sqrt\beta.\)</span></p>
<div class="section" id="Envelope-equations-for-an-elliptical-beam-with-Kapchinsky-Vladimirsky-distribution-with-external-focusing-by-linear-fields">
<h3>Envelope equations for an elliptical beam with Kapchinsky-Vladimirsky distribution with external focusing by linear fields<a class="headerlink" href="#Envelope-equations-for-an-elliptical-beam-with-Kapchinsky-Vladimirsky-distribution-with-external-focusing-by-linear-fields" title="Permalink to th