Expressing statements on elephants in propositional logic
If you're willing to consider predicate logic (with predicates and quantifiers), there's a plausible way to express this.  Let $P(x)$ stand for the proposition "$x$ can carry coconuts".  Let $S$ denote the set of African elephants and $T$ denote the set of Asian elephants.  Then one interpretation of your sentence is

$$\forall x \in S . P(x) \quad \land \quad \forall y \in T . \neg P(y).$$

Propositional logic doesn't allow quantifiers or predicates; I don't see any reasonable way to express that sentence in pure propositional logic.

Important caveat:  logic is not a way of encoding all English sentences.  It is not intended as a model of conversational language.  Rather, it is a way of making precise certain mathematical subjects, and supporting a particular type of mathematical reasoning.  So don't expect it to be more than it is.