I have been trying to solve the following linear differential equation. I would like to try to solve it as anallitically as possible. Before I just try to approximate the nonlinear term and see how far it gets...
$-A u(x)-u''(x)-B \alpha ^2 \sinh ^2(\alpha x) \text{csch}^2(2 \alpha x) u(x)=0$
A , B and α are real constants
Or possibly linearize it... somehow.
Thanks for your help/suggestions/comments!