ABSTRACT
In this chapter, we use the following conventions introduced in Mathematica: C[n] (n=1,2,...) stands for arbitrary constants or arbitrary functions. In general, arbitrary parameters (e.g., F1, F2, . . . ) can be specified by applying the
option GeneratedParameters->(Subscript[F,#]&) of the predefined function DSolve. We also introduce the following notation (where n=1,2,...) for Mathematica solu-
tions: eqn for equations pden/oden for PDEs/ODEs trn for transformations sysn for systems ic, bc, ibc for initial and/or boundary conditions listn for lists of expressions gn for graphs of solutions
23.1.2 Brief Introduction to Mathematica
Mathematica is a general-purpose computer algebra system in which symbolic computation can readily be combined with exact, approximate (floating-point), and arbitrary-precision numerical computation. Mathematica provides powerful scientific graphics capabilities [for details, see Bahder (1995), Getz and Helmstedt (2004), Gray (1994), Gray and Glynn (1991), Green et al. (1994), Ross (1995), Shingareva and Liza´rraga-Celaya (2009), Vvedensky (1993), Zimmerman and Olness (1995), etc.].
