Solution 1 to problem N1t6s7b4+5

Expressions | Parameters | Inequalities | Relevance | Back to problem N1t6s7b4+5

Expressions

The solution is given through the following expressions:


q10=0


q9=q2


q8=q2


q7=0


q6=0


q5=0


q4=0


q3=0


q1=0


p7=0


p5= - p3


p4=0


p2=0


p1= - p3

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:

 q2, p3, p6

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.

 
{q2,p6,p3,q9,g0003*q2 + g0005*p3}

Relevance for the application:

The system:


          2
b(1) =b(2) *p6 - b(1) *b(1)*p3
    t                x

b(2) =Db(2)*Db(1)*p3 - b(2) *b(1)*p3
    t                      x

The symmetry:

b(1) =Db(2)*Db(1)*q2 + b(1) *b(2)*q2
    s                      x

b(2) =b(2) *b(2)*q2
    s     x

And now in machine readable form:

The system:

df(b(1),t)=b(2)**2*p6 - df(b(1),x)*b(1)*p3$

df(b(2),t)=d(1,b(2))*d(1,b(1))*p3 - df(b(2),x)*b(1)*p3$

The symmetry:

df(b(1),s)=d(1,b(2))*d(1,b(1))*q2 + df(b(1),x)*b(2)*q2$

df(b(2),s)=df(b(2),x)*b(2)*q2$