q25=0 q24=0 q23=0 q22=0 1 q21=---*i*q9 2 q20= - q9 1 q19= - ---*i*q9 2 1 q18= - ---*q9 2 q17= - i*q9 1 q16=---*q9 2 q15= - q9 q14=i*q9 q13= - i*q9 q12= - q9 q11= - i*q9 q10= - q9 q8= - i*q9 q7=0 q6=0 q5=0 q4=0 q3=0 q2=0 q1=0 p5=i*p4 p3=0 p2=0 p1=0
q27, q26, q9, p4
{p4, q9, 2*g0003*q26 - 2*g0007*q9 - g0008*i*q9 - g0009*q9 - 2*g0010*i*q9 + g0011*q9 - 2*g0012*q9 - 2*g0013*i*q9 - 2*g0014*q9 - 2*g0015*i*q9 - 2*g0016*q9 + 2*g0017*q9 - 2*g0018*i*q9 + 2*g0024*p4, p5, 2*g0079*q27 + 2*g0080*q26 + g0085*i*q9 - 2*g0086*q9 - g0087*i*q9 - g0088*q9 - 2*g0089*i*q9 + g0090*q9 - 2*g0091*q9 + 2*g0092*i*q9 - 2*g0093*i*q9 - 2*g0094*q9 - 2*g0095*i*q9 - 2*g0096*q9 + 2*g0097*q9 - 2*g0098*i*q9, 2*g0027*q26 + g0031*i*q9 - 2*g0032*q9 - g0033*q9 - 2*g0034*i*q9 + g0035*q9 - 2*g0036*q9 + 2*g0037*i*q9 - 2*g0038*q9 - 2*g0039*i*q9 - 2*g0040*q9 + 2*g0041*q9 - 2*g0042*i*q9 + 2*g0048*p4}
The equation:
f =D D f *p4 + f *i*p4 t 1 2 2x 3xThe symmetry:
f =D f *D f*D D f*q9 - D f *D f*f *i*q9 - D f *D D f*D f*i*q9 - D f *D f*f *q9 s 2 x 2 1 2 2 x 2 x 2 x 1 2 1 2 x 1 x 1 2 1 2 + ---*(D f) *D D f *q9 - ---*(D f) *f *i*q9 - D f*D D f *D f*i*q9 2 2 1 2 x 2 2 2x 2 1 2 x 1 - D f*D D f*D f *i*q9 - D f*D f *f *q9 - D f*D f*f *q9 + D D f *q26 2 1 2 1 x 2 1 x x 2 1 2x 1 2 4x 1 2 - ---*D D f *(D f) *q9 - D D f*D f *D f*q9 + D f *D f*f *i*q9 2 1 2 x 1 1 2 1 x 1 1 x 1 x 1 2 + ---*(D f) *f *i*q9 + f *q27 2 1 2x 5xAnd now in machine readable form:
The system:
df(f(1),t)=d(1,d(2,df(f(1),x,2)))*p4 + df(f(1),x,3)*i*p4$The symmetry:
df(f(1),s)=d(2,df(f(1),x))*d(2,f(1))*d(1,d(2,f(1)))*q9 - d(2,df(f(1),x))*d(2,f(1 ))*df(f(1),x)*i*q9 - d(2,df(f(1),x))*d(1,d(2,f(1)))*d(1,f(1))*i*q9 - d(2,df(f(1) ,x))*d(1,f(1))*df(f(1),x)*q9 + 1/2*d(2,f(1))**2*d(1,d(2,df(f(1),x)))*q9 - 1/2*d( 2,f(1))**2*df(f(1),x,2)*i*q9 - d(2,f(1))*d(1,d(2,df(f(1),x)))*d(1,f(1))*i*q9 - d (2,f(1))*d(1,d(2,f(1)))*d(1,df(f(1),x))*i*q9 - d(2,f(1))*d(1,df(f(1),x))*df(f(1) ,x)*q9 - d(2,f(1))*d(1,f(1))*df(f(1),x,2)*q9 + d(1,d(2,df(f(1),x,4)))*q26 - 1/2* d(1,d(2,df(f(1),x)))*d(1,f(1))**2*q9 - d(1,d(2,f(1)))*d(1,df(f(1),x))*d(1,f(1))* q9 + d(1,df(f(1),x))*d(1,f(1))*df(f(1),x)*i*q9 + 1/2*d(1,f(1))**2*df(f(1),x,2)*i *q9 + df(f(1),x,5)*q27$