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\n", "Explict solution of the Korteweg and deVries (KdeV) equation (nonlinear and dispersive) for solitons with Vpython animation:\n", "$$\n", "\\frac{\\partial u(x,t)}{\\partial t} + \\varepsilon u(x,t)\\,\n", "\\frac{\\partial u(x,t)}{\\partial x} + \\mu \\, \\frac{\\partial ^3\n", "u(x,t)}{\\partial x^3} = 0. \n", "$$" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "deletable": true, "editable": true, "scrolled": true }, "outputs": [ { "data": { "text/html": [ "
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