My name is Sayed Hoseini and I am PhD student in University of Wollongong. Could you please have a look on this problem and let me know about any package/s which might be used for solving that?
I came across to this problem in my research:
We have a linear system including two differential equations and two variables; For example consider the following system:
[diff(,x$2)+I*w q ]
[q diff(,x$2)- I*w]
that u and v are functions of x and w, q and H are functions of x too, but fixed and I is the complex argument .
Now could you please let me know about these questions?
1. How could it be written as an operator including the matrix L in Maple language which L's entries are differential equations such that L*U can be obtained just by multiplying L to U?
2. Is there any Maple package/s to find adjoint of this operator?
3. Is there any Maple package to find its discrete and continuous eigenfunctions (eigenvectors)?
Thanks a lot for your helping
PhD Student in Math
University Of Wollongong