Solution 1 to problem N1t9s10f6+7

Expressions | Parameters | Inequalities | Relevance | Back to problem N1t9s10f6+7

Expressions

The solution is given through the following expressions: 

q11=0


q10=0


q9=q4


q8=0


q7=0


q6=0


q5=0


q3=0


q2=0


q1=0


p9=0


p6=0


p5=0


p3=0


p2=0


p1=0

Parameters

Apart from the condition that they must not vanish to give a non-trivial solution and a non-singular solution with non-vanishing denominators, the following parameters are free: 
 q4, p8, p4, p7

Inequalities

In the following not identically vanishing expressions are shown. Any auxiliary variables g00?? are used to express that at least one of their coefficients must not vanish, e.g. g0019*p4 + g0020*p3 means that either p4 or p3 or both are non-vanishing. 
 
{p4,q4,p7,g0004*q4 + g0008*q4 + g0012*p8 + g0013*p7 + g0015*p4}

Relevance for the application:



The system: 



f(1) =Df(2)*f(2)*p7 + Df(1)*f(1) *p8
    t                           x

f(2) =Df(1)*f(2) *p4
    t           x


The symmetry: 

f(1) =Df(2)*f(1) *q4
    s           x

f(2) =Df(2)*f(2) *q4
    s           x


And now in machine readable form: 

The system: 

df(f(1),t)=d(1,f(2))*f(2)*p7 + d(1,f(1))*df(f(1),x)*p8$

df(f(2),t)=d(1,f(1))*df(f(2),x)*p4$


The symmetry: 

df(f(1),s)=d(1,f(2))*df(f(1),x)*q4$

df(f(2),s)=d(1,f(2))*df(f(2),x)*q4$