2 citations · 2 across the 4 of their papers we have counts for
5 papers
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,…
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…
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"
A new class of linearizable equations
R. Hernandez Heredero, A. Shabat, V. Sokolov
Using the symmetry approach, we find a class of integrable nonlinear PDEs with dispersion law . All these equations turn out to be linearizable by means of a diff…
Self-similar solutions of NLS-type dynamical systems
M. Boiti, V. G. Marikhin, F. Pempinelli +1
We study self-similar solutions of NLS-type dynamical systems. Lagrangian approach is used to show that they can be reduced to three canonical forms, which are related by Miura tra…