{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "

Two Dimensional Sine-Gordon Solitons

\n", "

\n", "Two-dimensional soliton solutions of the sine-Gordon equation are found and visualized:\n", "

\n", " $$\\frac{1}{c^2} \\frac{\\partial^2u}{\\partial^2u}-\\frac{\\partial^2u}{\\partial x^2}- \\frac{\\partial^2 u}{\\partial y^2}=\\sin u\n", " $$" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0 out of 22\n", "1 out of 22\n", "2 out of 22\n", "3 out of 22\n", "4 out of 22\n", "5 out of 22\n", "6 out of 22\n", "7 out of 22\n", "8 out of 22\n", "9 out of 22\n", "10 out of 22\n", "11 out of 22\n", "12 out of 22\n", "13 out of 22\n", "14 out of 22\n", "15 out of 22\n", "16 out of 22\n", "17 out of 22\n", "18 out of 22\n", "19 out of 22\n", "20 out of 22\n", "21 out of 22\n", "22 out of 22\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Done\n" ] } ], "source": [ "\"\"\" From \"COMPUTATIONAL PHYSICS\" & \"COMPUTER PROBLEMS in PHYSICS\"\n", " by RH Landau, MJ Paez, and CC Bordeianu (deceased).\n", " Copyright R Landau, Oregon State Unv, MJ Paez, Univ Antioquia, \n", " C Bordeianu, Univ Bucharest, 2021. \n", " Please respect copyright & acknowledge our work.\"\"\"\n", "\n", "# TwoDsol.java: solves Sine-Gordon equation for 2D soliton\n", "\n", "import numpy as np; from mpl_toolkits.mplot3d import Axes3D \n", "import matplotlib.pylab as plt\n", "import math\n", "\n", "D = 201; dx = 14./200.; dy = dx; dt = dx/np.sqrt(2.);\n", "dts = (dt/dx)*(dt/dx)\n", "\n", "u = np.zeros((D,D,3),float); psi = np.zeros((D,D),float)\n", "\n", "def initial( u): # initial conditions\n", " yy = -7. \n", " for i in range(0,D ):\n", " xx = -7. \n", " for j in range(0,D ):\n", " tmp = 3.-np.sqrt(xx*xx + yy*yy)\n", " u[i][j][0] = 4.*(math.atan(tmp))\n", " xx = xx + dx\n", " yy = yy + dy\n", "\n", "def solution(nint): \n", " time = 0.\n", " for m in range(1,D-1):\n", " for l in range(1,D-1):\n", " a2 = u[m+1][l][0] + u[m-1][l][0] + u[m][l+1][0] + u[m][l-1][0]\n", " tmp = .25*a2 \n", " u[m][l][1] = 0.5*(dts*a2-dt*dt*np.sin(tmp))\n", " for mm in range(1, D-1): # Borders in second iteration\n", " u[mm][0][1] = u[mm][1][1] \n", " u[mm][D-1][1] = u[mm][D-2][1] \n", " u[0][mm][1] = u[1][mm][1]\n", " u[D-1][mm][1] = u[D-2][mm][1] \n", " u[0][0][1] = u[1][0][1] # Still undefined terms\n", " u[D-1][0][1] = u[D-2][0][1] \n", " u[0][D-1][1] = u[1][D-1][1] \n", " u[D-1][D-1][1] = u[D-2][D-1][1] \n", " tmp = 0. \n", " for k in range(0, nint+1): # Following iterations\n", " print(k, \"out of \",nint)\n", " for m in range(1,D-1): \n", " for l in range(1, D-1):\n", " a1 = u[m + 1][l][1]+u[m-1][l][1]+u[m][l+1][1]+u[m][l-1][1]\n", " tmp = .25*a1 \n", " u[m][l][2] = -u[m][l][0] + dts*a1-dt*dt*np.sin(tmp)\n", " u[m][0][2] = u[m][1][2]\n", " u[m][D-1][2] = u[m][D-2][2]\n", " for mm in range(1,D-1): \n", " u[mm][0][2] = u[mm][1][2] \n", " u[mm][D-1][2] = u[mm][D-2][2] \n", " u[0][mm][2] = u[1][mm][2]\n", " u[D-1][mm][2] = u[D-2][mm][2]\n", " u[0][0][2] = u[1][0][2]\n", " u[D-1][0][2] = u[D-2][0][2]\n", " u[0][D-1][2] = u[1][D-1][2]\n", " u[D-1][D-1][2] = u[D-2][D-1][2]\n", " for l in range(0, D): # New iterations now old\n", " for m in range(0,D): \n", " u[l][m][0] = u[l][m][1] \n", " u[l][m][1] = u[l][m][2] \n", " if (k == nint): \n", " for i in range(0,D, 5): \n", " for j in range(0,D, 5): psi[i][j]=np.sin(u[i][j][2]/2)\n", " time = time + dt\n", "\n", "def funcz(u):\n", " z = psi[X,Y] \n", " return z\n", "\n", "initial(u)\n", "time=0. \n", "xx = np.arange(0,D,5)\n", "yy =np.arange(0,D,5) \n", "X, Y = plt.meshgrid(xx, yy)\n", "solution(22) # Number of time iterations\n", "Z = funcz(psi)\n", "fig = plt.figure()\n", "ax = Axes3D(fig) \n", "ax.plot_wireframe(X, Y, Z, color = 'g')\n", "ax.set_xlabel('X')\n", "ax.set_ylabel('Y')\n", "ax.set_zlabel('Z')\n", "plt.show()\n", "print('Done')" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.13" } }, "nbformat": 4, "nbformat_minor": 2 }