Solution 1 to problem N1t7s12f2


Expressions | Parameters | Inequalities | Relevance | Back to problem N1t7s12f2

Expressions

The solution is given through the following expressions:

q9=0


q8=0


q7=0


q6=0


q4=0


q3=0


q2=0


q1=0


p3=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:
 q5, 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.
 
{p2,q5}


Relevance for the application:



The equation: 


f =Df *f *p2
 t   x  x
The symmetry:
        2
f =(Df ) *f *q5
 s    x    x
And now in machine readable form:

The system:

df(f(1),t)=d(1,df(f(1),x))*df(f(1),x)*p2$
The symmetry:
df(f(1),s)=d(1,df(f(1),x))**2*df(f(1),x)*q5$