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01.Evolution Equations for Grain Growth and Coarsening (pp.5-60)
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Methods Based on Projective Equations for Solving Nonlinear Evolution Equations (pp.221-250) $100.00
Authors:  (Alvaro H. Salas, Universidad de Caldas, Department of Mathematics, Universidad Nacional de Colombia, Manizales, Colombia)
Abstract:
In this chapter we present some ideas for solving nonlinear partial differential
equations which are based on the idea of the projective Riccati equations. We show
how to derive well known methods such as Conte’s projective Riccati equations
method, tanh-coth method, He’s exp function method and a new method we called
sn-ns method. We illustrate the effectiveness of the sn-ns method in the problem of
findin new exact solutions to some relevant nonlinear pde’s with the aid of Maple 14
and Mathematica 7. 


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Methods Based on Projective Equations for Solving Nonlinear Evolution Equations (pp.221-250)