Solitary waves of a coupled Korteweg-de Vries system by Roger Grimshaw, Gerard Iooss

“…Generically, we demonstrate that there will be three families, (a) pure solitary waves which decay to zero at in nity exponentially fast, (b) generalized solitary waves which may tend to small-amplitude oscillations at in nity, and (c) envelope solitary waves which at in nity consist of decaying oscillations. …”
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Mathematical modelling of nonlinear ring waves in a stratified fluid by Xizheng Zhang

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Nonlinear concentric water waves of moderate amplitude by Nerijus Sidorovas, Dmitri Tseluiko, Wooyoung Choi, Karima Khusnutdinova

“…The problem is axisymmetric, and we derive the slow radius versions of the cylindrical Korteweg - de Vries (cKdV) and extended cKdV (ecKdV) models. …”
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Undular bore theory for the Gardner equation by A.M. Kamchatnov, Y.-H. Kuo, Tai-Chia Lin, T.-L. Horng, S.-C. Gou, Richard Clift, Gennady El, Roger Grimshaw

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Transcritical flow of a stratified fluid over topography: analysis of the forced Gardner equation by A.M. Kamchatnov, Y.-H. Kuo, Tai-Chia Lin, T.-L. Horng, S.-C. Gou, Richard Clift, Gennady El, Roger Grimshaw

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