THE STRUCTURE, OF THE RATIONAL SOLUTIONS TO THE BOUSSINESQ EQUATION

Authors
GALKIN VM PELINOVSKY DE STEPANYANTS YA
Citation
Vm. Galkin et al., THE STRUCTURE, OF THE RATIONAL SOLUTIONS TO THE BOUSSINESQ EQUATION, Physica. D, 80(3), 1995, pp. 246-255
Citations number
27
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Physica. D → ACNP
ISSN journal
01672789
Volume
80
Issue
3
Year of publication
1995
Pages
246 - 255
Database
ISI
SICI code
0167-2789(1995)80:3<246:TSOTRS>2.0.ZU;2-#
Abstract
Rational solutions of the one-dimensional Boussinesq equation both wit h zero and nonzero boundary conditions at the infinity are obtained by reducing the known solutions of the Kadomtsev-Petviashvili equation. The structure of the found solutions generalizes a family of rational solutions to the Korteweg-de Vries equation to the case of two-wave pr ocesses.