U.S. Department of Commerce


Date of this Version



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


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.