The emphasis of the book is given in how to construct different
types of solutions (exact, approximate analytical, numerical,
graphical) of numerous nonlinear PDEs correctly, easily, and
quickly. The reader can learn a wide variety of techniques and
solve numerous nonlinear PDEs included and many other differential
equations, simplifying and transforming the equations and
solutions, arbitrary functions and parameters, presented in the
book). Numerous comparisons and relationships between various types
of solutions, different methods and approaches are provided, the
results obtained in Maple and Mathematica, facilitates a deeper
understanding of the subject. Among a big number of CAS, we choose
the two systems, Maple and Mathematica, that are used worldwide by
students, research mathematicians, scientists, and engineers. As in
the our previous books, we propose the idea to use in parallel both
systems, Maple and Mathematica, since in many research problems
frequently it is required to compare independent results obtained
by using different computer algebra systems, Maple and/or
Mathematica, at all stages of the solution process. One of the main
points (related to CAS) is based on the implementation of a whole
solution method (e.g. starting from an analytical derivation of
exact governing equations, constructing discretizations and
analytical formulas of a numerical method, performing numerical
procedure, obtaining various visualizations, and comparing the
numerical solution obtained with other types of solutions
considered in the book, e.g. with asymptotic solution).
General
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