SELF |
2 (appendix) |
S.B. Karavashkin |
|
To compare this correctly with our result, we have in (9) to pass from hyperbolic sine to that trigonometric. This is simple to do, using the standard transformation: |
(10) |
from this |
(11) |
Given (6) and (10), (2)- (5) will take the following form: |
(12) |
(13) | |
(14) |
(15) |
First of all, we see from (12)- (15) that in these formulas y is equivalent in its meaning to el of our paper. But in the Reviewer's formulas |
(16) |
:while in our paper (formula (11) of our work) |
(17) |
When comparing, we see (16) and (17) basically different. And given (12)- (15) are basic for all following transformations and el cannot be changed in linear systems, we basically cannot yield a coincidence of solutions with the Reviewer's approach, whatever super-matrix methods he would use. The correct expression is ours, as it has been checked experimentally and showed a full correspondence. While two different solutions for one system of differential equations are impossible, as we all now. |