The phrase "derivation of solutions" is correct and usable in written English.
It is a phrase used to denote the process or methods of arriving at a solution to a problem. For example, "This paper examines the mathematical derivation of solutions to a long-standing problem in algebra".
Camassa and Holm [4] put forward the derivation of solution as a model for dispersive shallow water waves and discovered that it is a formally integrable dimensional Hamiltonian system, and that its solitary waves are solitons.
In order to obtain higher regularity of global solutions, there are many complicated estimates on higher derivations of solutions to be involved, this is our main difficulty.
It can also be shown by similar calculations that the remaining subcases are duplication of some subcases in Cases 1 and 2. Since the maximal symmetry Lie algebra is two-dimensional, the derivation of invariant solutions amounts to finding solutions invariant under the linear combination c X 1 + X 2 where c is an arbitrary constant.
In order to obtain existence and higher regularity of global solutions, there are many complicated estimates on external force and higher derivations of solution to be involved, this is our difficulty.
The most widely discussed models for dolomitization, either partial or complete, involve four chief variables: time, location with respect to the sediment-seawater interface, composition and derivation of the solutions involved, and fluxing mechanisms.
However, the derivation of exact solutions within this theory is far more difficult.
This section is devoted to a derivation of explicit solutions of some Erdélyi-Kober-type integral equations.
The solution of these problems is very challenging, and typically requires the use of global optimization techniques, even for the derivation of approximate solutions.
Hence, it is imperative to make appropriate simplifications to enable the derivation of analytical solutions that can capture the essential features of repairs.
