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Titlebook: Computer Algebra Recipes; An Advanced Guide to Richard H. Enns,George C. McGuire Textbook 2007 Springer-Verlag New York 2007 Analysis.Maple

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The Hunt for Solitonstions to some nonlinear PDEs of physical interest, the best known being . solutions of nonlinear wave equations. A soliton is a stable solitary wave, which is a localized pulse solution that can propagate at some characteristic velocity without changing shape despite the “tug of war” between “compet
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Nonlinear Diagnostic Tools portraits and the location and identification of the relevant stationary points of the ODE system. This graphical approach was extended in the last chapter to finding solitary wave solutions of physically important nonlinear PDEs.
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Arne Lange,Colin Atkinson,Christian Tunjicon, this topic is split over two chapters. We begin with examples of checking PDE solutions, either obtained by intelligent guessing or quoted, without derivation, in some scientific reference. Diffusion and Laplace’s equation models are then presented.
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Linear PDE Models. Part 1on, this topic is split over two chapters. We begin with examples of checking PDE solutions, either obtained by intelligent guessing or quoted, without derivation, in some scientific reference. Diffusion and Laplace’s equation models are then presented.
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Elvio Gilberto Amparore,Susanna Donatellithis chapter, we will complement this approach by introducing ., which involves analytically examining the nature of the trajectories at ordinary points lying near each fixed point. The method can be generalized [Hay64] to three-dimensional systems, but becomes considerably more complicated.
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