Reflection of waves in nonlinear integrable systems

1 November 1987

journal article
research article
Published by AIP Publishing in Journal of Mathematical Physics

Vol. 28 (11) , 2603-2609
https://doi.org/10.1063/1.527752

Abstract

Solutions of the boomeron type are found in two nonlinear integrable systems describing the interaction of a long wave with a short wave packet. These solutions follow from two‐soliton solutions if certain additional conditions are imposed on their parameters. The results are relevant to some problems of plasma physics, solid‐state physics, hydrodynamics, etc.

Keywords

WAVE PROPAGATION
NONLINEAR SYSTEM
PARTIAL DIFFERENTIAL EQUATION
INTEGRABLE SYSTEM
WAVE EQUATION
SYSTEM INTEGRATION
PLASMA PHYSICS

This publication has 2 references indexed in Scilit:

On equations for wave interactions
Letters in Mathematical Physics, 1983
Coupled nonlinear evolution equations solvable via the inverse spectral transform, and solitons that come back: the boomeron
Lettere al Nuovo Cimento (1971-1985), 1976