Some properties of slowly decaying oscillatory solutions of KP

Mikhail Kovalyov and Ion Bica

Chaos, Solitons & Fractals, 2005, vol. 25, issue 5, 979-989

Abstract: In this paper a class of solutions of KP is discussed. Theory of these solutions, referred to here as breathers, is developed and it is shown that a subclass of these solutions can be used to construct more general solutions of KP similarly to how the functions ei(λx+νy) are used to perform the same task in the theory of Fourier transform. Nonlinear superposition formula for general solutions of KP similar to the Fourier expansion formula is considered.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:25:y:2005:i:5:p:979-989

DOI: 10.1016/j.chaos.2004.11.054

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