Published February 28, 2001 | Version v1
Journal article

Exactly integrable hyperbolic equations of Liouville type

  • 1. Institute of Mechanics, Ufa Centre of the Russian Academy of Sciences, Ufa (Russian Federation)
  • 2. Centre for Non-linear Studies Landau Institute for Theoretical Physics, Moscow (Russian Federation)

Description

This is a survey of the authors' results concerning non-linear hyperbolic equations of Liouville type. The definition is based on the condition that the chain of Laplace invariants of the linearized equation be two-way finite. New results include a procedure for finding the general solution and a solution of the classification problem for Liouville type equations

Availability note (English)

Available from http://dx.doi.org/10.1070/RM2001v056n01ABEH000357

Additional details

Publishing Information

Journal Title
Russian Mathematical Surveys
Journal Volume
56
Journal Issue
1
Journal Page Range
p. 61-101
ISSN
0036-0279
CODEN
RMSUAF

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
40074687
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CLASSIFICATION; EQUATIONS; EXACT SOLUTIONS; INTEGRAL CALCULUS; LIOUVILLE THEOREM; NONLINEAR PROBLEMS
Descriptors DEC
MATHEMATICAL SOLUTIONS; MATHEMATICS