(* Defines usage. *) DefiningEquation::usage = "DefiningEquation[] brings up a menu of built in examples. \[NewLine] DefiningEquation[eqn, opeartor, funcs, vars, opts] checks the recursion operator using its defining equation." RecursionOperator::usage = "RecursionOperator[eqn, funcs, vars, param]." BuildCandidate::FreeWeight = "There is freedom in the dilation symmetry `1` for this equation. Please set the free weight by using the option WeightRules. For instance, if Weight[u] isn't fixed, try WeightRules -> {Weight[u] -> 1}." RecursionOperator::failed = "A valid recursion operator wasn't found. Please try setting the Seed option to an interger greater than one. For example, Seed -> 2." BuildCandidate::WeightsFail = "This system doesn't have a dilation symmetry, a requirement of this algorithm." BuildCandidate::UnuniformWeights = "One of the terms in this system has terms of unequal rank. The current version of this package can't deal with this case." RecursionOperator::eqns = "This package requires that the number of functions is equal to the number of equations." RecursionOperator::vars = "This package is only designed for two independent variable system, also known as (1+1) dimensional systems." RecursionOperator::dt = "This package is only designed to handle terms with at most one derivative in `1`. If you have a term like D[u[x,t], {t,2}], then rewrite it as D[v[x,t], t] and add the equation D[u[x,t], t] == v[x,t]." RecursionOperator::rational = "This package is only designed to work with polynomial systems with fixed powers."