Published March 1980
| Version v1
Journal article
On the complete integrability of a nonlinear system of partial differential equations in two-dimensional space
Creators
- 1. Gosudarstvennyj Komitet po Ispol'zovaniyu Atomnoj Ehnergii SSSR, Serpukhov. Inst. Fiziki Vysokikh Ehnergij
Description
An explicit complete solutions, depending on 2 r arbitrary functions, are obtained for the system of nonlinear partial derivative differential equations of the form rhosub(α, Z anti Z)=Σsub(β=1)sup(r)ksub(αβ)exprhoβ where k is the Cartan matrix for a certain semisimple rank r algebra
Additional details
Additional titles
- Original title (Russian)
- О полной интегрируемости одной нелинейной системы дифференциальных уравнений в частных производных в двумерном пространстве
Publishing Information
- Journal Title
- Teor. Mat. Fiz.
- Journal Volume
- 42
- Journal Issue
- 3
- Series
- Teor. Mat. Fiz.
- Journal Page Range
- 343-349
- ISSN
- 0564-6162
INIS
- Country of Publication
- Russian Federation
- Country of Input or Organization
- USSR
- INIS RN
- 12574101
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BOLTZMANN-VLASOV EQUATION; CONFORMAL INVARIANCE; DUALITY; FUNCTIONAL ANALYSIS; INTEGRAL TRANSFORMATIONS; MATRICES; TWO-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; INVARIANCE PRINCIPLES; MATHEMATICS; TRANSFORMATIONS
Optional Information
- Notes
- For English translation see the journal Theoretical and Mathematical Physics (USA).