/* Last updated: September 8, 2020 by Hereman in Boulder */ /* Data file s-kdv-run2-Sep8-2020.dat for the Korteweg-de Vries equation: */ /* u_t + bb u u_x + u_xxx = 0 */ /* Assign u[1] to u, x[1] to x, x[2] to t, bb is a constant */ /* For use with symmgrp2020.max under Maxima */ /* number of independent variables: */ p : 2$ /* number of dependent variables: */ q : 1$ /* number of equations in the system: */ m : 1$ warnings:false$ parameters : [bb] $ sublisteqs :[all]$ subst_deriv_of_vi:true$ highest_derivatives : all$ /* information is given now */ info_given : true$ depends([eta1,f1,f2],[x[1],x[2]]); depends(eta2,x[2]); phi1 : f1*u[1]+f2; e1 : u[1,[0,1]]+bb*u[1]*u[1,[1,0]]+u[1,[3,0]]; /* bb is just a constant parameter */ v1 : u[1,[0,1]]; /* end of data file s-kdv-run2-Sep8-2020.dat */