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Gorshkov K., L. A. Ostrovsky and I. Soustova (January 2011): Dynamics of Strongly Nonlinear Kinks and Solitons in a Two-Layer Fluid. Stud. Appl. Math., 126 (1), 49-73. doi:10.1111/j.1467-9590.2010.00497.x

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Perturbation theory is developed for interaction of strongly nonlinear solitary waves close to the limiting, tabletop solitons (Π-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.

Item Type: Article
Subjects: PSD Publications
Divisions: Physical Sciences Division
DOI: 10.1111/j.1467-9590.2010.00497.x