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- W1994985671 abstract "In the long-wave, weakly nonlinear limit a generic model for the interaction of two waves with nearly coincident linear phase speeds is a pair of coupled Korteweg-de Vries equations. Here we consider the simplest case when the coupling occurs only through linear non-dispersive terms, and for this case delineate the various families of solitary waves that can be expected. Generically, we demonstrate that there will be three families: (a) pure solitary waves which decay to zero at infinity exponentially fast; (b) generalized solitary waves which may tend to small-amplitude oscillations at infinity; and (c) envelope solitary waves which at infinity consist of decaying oscillations. We use a combination of asymptotic methods and the rigorous results obtained from a normal form approach to determine these solitary wave families." @default.
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- W1994985671 date "2003-02-01" @default.
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- W1994985671 title "Solitary waves of a coupled Korteweg-de Vries system" @default.
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- W1994985671 doi "https://doi.org/10.1016/s0378-4754(02)00189-1" @default.
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