Solution 11 to problem e3nullo3
Expressions |
Parameters |
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Expressions
The solution is given through the following expressions:
1
a22=---*a33
4
b22=0
b31=0
b32=0
b33=0
c12=0
c13=0
c22=0
c23=0
c33=0
n1=0
n2=0
m2=0
m3=0
r6=0
r5=0
4*a33*m1*q1 - 4*m1*n3*p5
r4=--------------------------
2
a33
2
4*a33*n3*q1 - 4*n3 *p5
r3=------------------------
2
a33
r2=0
r1=0
q20=q9
q19=0
q18=0
q17=0
q16=0
- 2*m1*p5
q15=------------
a33
q14=q9
q13=0
q12=0
q11=0
q10=0
q8=0
q7=0
4*a33*q1 - 4*n3*p5
q6=--------------------
a33
q5=0
q4=0
q3=q1
q2=0
p50=0
p49=0
p48=0
p47=0
p46=0
p45=0
p44=0
p43=0
p42=0
p41=0
p40=0
p39=0
p38=0
p37=0
p36=0
p35=0
p34=0
p33=0
p32=0
p31=0
p30=0
p29=0
p28=0
p27=0
p26=0
p25=0
p24=0
p23=0
p22=0
p21=0
p20=0
p19=0
p18=0
p17=0
p16=0
p15=0
p14=0
p13=0
p12=0
p11=0
p10=0
p9=0
p8=0
p7=p5
p6=0
p4=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:
n3,q9,q1,m1,p5,a33
Relevance for the application:
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2 2 2
a33*u1 + a33*u2 + 4*a33*u3 + 4*m1*v1 + 4*n3*u3
HAM=---------------------------------------------------
4
2 2 2 2 2 2 2 2
INT=(a33 *p5*u1 *u3 + a33 *p5*u2 *u3 + a33 *q1*u1 + a33 *q1*u2
2 2 2 2 2 2 2 2
+ 4*a33 *q1*u3 + a33 *q9*v1 + a33 *q9*v2 + a33 *q9*v3
2
- 2*a33*m1*p5*u1*v3 + 4*a33*m1*q1*v1 - 4*a33*n3*p5*u3 + 4*a33*n3*q1*u3
2 2
- 4*m1*n3*p5*v1 - 4*n3 *p5*u3)/a33
HAM=(a33*u1**2 + a33*u2**2 + 4*a33*u3**2 + 4*m1*v1 + 4*n3*u3)/4$
INT=(a33**2*p5*u1**2*u3 + a33**2*p5*u2**2*u3 + a33**2*q1*u1**2 + a33**2*q1*u2**
2 + 4*a33**2*q1*u3**2 + a33**2*q9*v1**2 + a33**2*q9*v2**2 + a33**2*q9*v3**2 - 2
*a33*m1*p5*u1*v3 + 4*a33*m1*q1*v1 - 4*a33*n3*p5*u3**2 + 4*a33*n3*q1*u3 - 4*m1*
n3*p5*v1 - 4*n3**2*p5*u3)/a33**2$
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