Algebraic Approach

Inna Shingareva () and Carlos Lizárraga-Celaya ()
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Inna Shingareva: University of Sonora, Department of Mathematics
Carlos Lizárraga-Celaya: University of Sonora, Department of Physics

Chapter Chapter 2 in Solving Nonlinear Partial Differential Equations with Maple and Mathematica, 2011, pp 35-144 from Springer

Abstract: Abstract Algebraic approach, based on transformation methods, is the most powerful analytic tool for studying nonlinear partial differential equations. Although the first exact solutions of PDEs have been determined in the 18th century (works by Cauchy, Euler, Hamilton, Jacobi, Lagrange, Monge), the most important results were obtained by S. Lie at the end of 19th century (see [91]).

Keywords: Travel Wave Solution; Burger Equation; Gordon Equation; Invariant Solution; Nonlinear PDEs (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7091-0517-7_2

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DOI: 10.1007/978-3-7091-0517-7_2

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