Published July 1, 2012 | Version v1
Journal article

On the inverse scattering transform of a nonlinear evolution equation with 2 + 1 dimensions related to nonstrict hyperbolic systems

  • 1. Faculty of Mechanics-Mathematics, Baku State University, Baku AZ1148 (Azerbaijan)

Description

We introduce a nonlinear 2+1 dimensional system of equations related to the first-order nonstrict hyperbolic system. On the basis of the analysis of Gelfand–Levitan–Marchenko (GLM) type integral equations corresponding to the inverse scattering problem for the first-order nonstrict hyperbolic system on the whole plane, we obtain a class of exact solutions of some nonlinear equations with 2 + 1 dimensions

Availability note (English)

Available from http://dx.doi.org/10.1088/0951-7715/25/7/1967

Additional details

Identifiers

DOI
10.1088/0951-7715/25/7/1967;
PII
S0951-7715(12)17982-2;

Publishing Information

Journal Title
Nonlinearity (Print)
Journal Volume
25
Journal Issue
7
Journal Page Range
p. 1967-1979
ISSN
0951-7715

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
46002436
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
EXACT SOLUTIONS; INTEGRAL EQUATIONS; INVERSE SCATTERING PROBLEM; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; TWO-DIMENSIONAL CALCULATIONS
Descriptors DEC
EQUATIONS; MATHEMATICAL SOLUTIONS