**Lectures on Nonlinear Integrable Equations and their Solutions**

by A. Zabrodin

**Publisher**: arXiv.org 2018**Number of pages**: 92

**Description**:

This is an introductory course on nonlinear integrable partial differential and differential-difference equations based on lectures given for students of Moscow Institute of Physics and Technology and Higher School of Economics.

Download or read it online for free here:

**Download link**

(760KB, PDF)

## Similar books

**Introduction to Quantum Integrability**

by

**A. Doikou, S. Evangelisti, G. Feverati, N. Karaiskos**-

**arXiv**

The authors review the basic concepts regarding quantum integrability. Special emphasis is given on the algebraic content of integrable models. A short review on quantum groups as well as the quantum inverse scattering method is also presented.

(

**6647**views)

**Lectures on the Singularities of the Three-Body Problem**

by

**C.L. Siegel**-

**Tata Institute of Fundamental Research**

From the table of contents: The differential equations of mechanics; The three-body problem : simple collisions (The n-body problem); The three-body problem: general collision (Stability theory of solutions of differential equations).

(

**6319**views)

**Lie Groups in Physics**

by

**G. 't Hooft, M. J. G. Veltman**-

**Utrecht University**

Contents: Quantum mechanics and rotation invariance; The group of rotations in three dimensions; More about representations; Ladder operators; The group SU(2); Spin and angular distributions; Isospin; The Hydrogen Atom; The group SU(3); etc.

(

**11296**views)

**Graph and Network Theory in Physics: A Short Introduction**

by

**Ernesto Estrada**-

**arXiv**

Text consisting of some of the main areas of research in graph theory applied to physics. It includes graphs in condensed matter theory, such as the tight-binding and the Hubbard model. It follows the study of graph theory and statistical physics...

(

**6359**views)