q9=0 10 q8= - ----*q5 3 q7=0 q6=0 q4=2*q5 2 q3= - ---*q5 3 4 q2= - ---*q5 3 q1=0 p7=0 p6=0 p5=0 p4=0 p3= - p2 p1=0
q5, p2
{q4,q5,p2,p3}
The equation:
2 3 f =Df *(Df) *f*p2 - (Df) *f *p2 t x xThe symmetry:
2 4 2 f = - ---*Df *Df*f*q5 - ---*Df *Df *f*q5 + 2*Df *Df*f *q5 + (Df ) *f *q5 s 3 3x 3 2x x 2x x x x 10 - ----*f *f *f*q5 3 3x xAnd now in machine readable form:
The system:
df(f(1),t)=d(1,df(f(1),x))*d(1,f(1))**2*f(1)*p2 - d(1,f(1))**3*df(f(1),x)*p2$The symmetry:
df(f(1),s)= - 2/3*d(1,df(f(1),x,3))*d(1,f(1))*f(1)*q5 - 4/3*d(1,df(f(1),x,2))*d( 1,df(f(1),x))*f(1)*q5 + 2*d(1,df(f(1),x,2))*d(1,f(1))*df(f(1),x)*q5 + d(1,df(f(1 ),x))**2*df(f(1),x)*q5 - 10/3*df(f(1),x,3)*df(f(1),x)*f(1)*q5$