Solution 1 to problem N1t2s7b1
Expressions |
Parameters |
Inequalities |
Relevance |
Back to problem N1t2s7b1
Expressions
The solution is given through the following expressions:
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:
q8, q7, q6, q5, q4, q3, q2, q1, p2
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.
{g0005*q8 + g0006*q1,p2}
Relevance for the application:
The equation:
b =b *p2
t x
The symmetry:
8 2 3
b =b *q7 + Db *Db*q8 + Db *Db*b *q1 + b *b*q2 + b *b *q4 + b *b *q3
s 2x x 3x 2x 2x x
2 2 5
+ b *b *q5 + b *b *q6
x x
And now in machine readable form:
The system:
df(b(1),t)=df(b(1),x)*p2$
The symmetry:
df(b(1),s)=b(1)**8*q7 + d(1,df(b(1),x,2))*d(1,b(1))*q8 + d(1,df(b(1),x))*d(1,b(1
))*b(1)**2*q1 + df(b(1),x,3)*b(1)*q2 + df(b(1),x,2)*b(1)**3*q4 + df(b(1),x,2)*df
(b(1),x)*q3 + df(b(1),x)**2*b(1)**2*q5 + df(b(1),x)*b(1)**5*q6$