Dynamics of Strongly Nonlinear Kinks and Solitons in a Two-Layer Fluid

Authors

K. Gorshkov, Russian Academy of Sciences
L. A. Ostrovsky, NOAA ESRLFollow
I. Soustova, Russian Academy of Sciences

Date of this Version

2010

Comments

Published in STUDIES IN APPLIED MATHEMATICS (2010) 126:49–73; DOI: 10.1111/j.1467-9590.2010.00497.x

Abstract

Perturbation theory is developed for interaction of strongly nonlinear solitary waves close to the limiting, tabletop solitons (∏-solitons). The method is based on representing each soliton as a compound of two kinks so that the interaction of N solitons is treated as the interaction of 2N kinks. As an example the Miyata–Choi–Camassa equations for a two-layer fluid is considered. Equations for kink coordinates are obtained and analyzed. Some nontrivial features of two-soliton interaction characteristic of the strongly nonlinear case are established.