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math-ph2005
Computable Integrability. Chapter 2: Riccati equation
E. Kartashova, A. Shabat
In this Chapter, using Riccati equation as our main example, we tried to demonstrate at least some of the ideas and notions introduced in Chapter 1 - integrability in quadratures,…
math-ph2005
Computable Integrability. Chapter 5: Factorization of LPDOs
E. Kartashova, A. Shabat
Different definitions of integrability, as a rule, use linearization of initial equation and/or expansion on some basic functions which are themselves solutions of some linear diff…
math-ph2005★ 2 cited
Computable Integrability. Chapter 1: General notions and ideas
A. Shabat, E. Kartashova
This is a preliminary version of the Chapter 1 of a book "Computable Integrability"