/* Last updated: January 25, 2021 by Hereman in Boulder */
/* For use with symmgrp2020.max under Maxima */

/* File name: p5diffusion-run1-Jan25-2021-wh.dat. */
/* Data file for diffusion equation with power 5 diffusivity given in the online manuscript Faruk Gungor. */

/* u_t - x^5 u_xx + x u_y = 0 */
/* Assign u[1] to u, x[1] to x, x[2] to y, and x[3] to t. */

/* number of independent variables: */
p : 3$

/* number of dependent variables: */
q : 1$

/* number of equations in the system: */
m : 1$

warnings: false$
parameters : [] $
sublisteqs : [all]$
subst_deriv_of_vi: true$
highest_derivatives : all$

/* information is given. */
info_given : true$

depends([eta1,f1,f2],[x[1],x[2],x[3]]);
depends(eta2,[x[2],x[3]]);
depends(eta3,[x[2],x[3]]);

phi1 : f1*u[1]+f2;

e1 : u[1,[0,0,1]]-x[1]^5*u[1,[2,0,0]]+x[1]*u[1,[0,1,0]];
/* eliminate u_t */
v1 : u[1,[0,0,1]];

/* end of data file p5diffusion-run1-Jan25-2021-wh.dat. */