General Analytical Approach. Integrability

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 4 in Solving Nonlinear Partial Differential Equations with Maple and Mathematica, 2011, pp 187-226 from Springer

Abstract: Abstract In this chapter, following the general analytical approach, we consider the basic concepts, ideas, and the most important methods for solving analytically nonlinear partial differential equations with the aid of Maple and Mathematica. In particular, we will consider the concepts of integrability, the Painlevé integrability, complete integrability for evolution equations, the Lax pairs, the variational principle.

Keywords: Burger Equation; Complete Integrability; Gardner Equation; Inverse Scattering Transform; Hirota Method (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_4

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DOI: 10.1007/978-3-7091-0517-7_4

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