Published February 29, 2008 | Version v1
Journal article Metadata-only

Stability of periodic travelling shallow-water waves determined by Newton's equation

Creators

  • 1. Faculty of Mathematics and Informatics, Shumen University, 9712 Shumen (Bulgaria)
  • 2. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia (Bulgaria)

Description

We study the existence and stability of periodic travelling-wave solutions for generalized Benjamin-Bona-Mahony and Camassa-Holm equations. To prove orbital stability, we use the abstract results of Grillakis-Shatah-Strauss and the Floquet theory for periodic eigenvalue problems

Availability note (English)

Available from http://dx.doi.org/10.1088/1751-8113/41/8/085203

Additional details

Identifiers

DOI
10.1088/1751-8113/41/8/085203;
PII
S1751-8113(08)62811-5;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
41
Journal Issue
8
Journal Page Range
[31 p.]
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39105185
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
EIGENVALUES; EQUATIONS; MATHEMATICAL SOLUTIONS; PERIODICITY; STABILITY; TRAVELLING WAVES; WATER WAVES
Descriptors DEC
GRAVITY WAVES; VARIATIONS