Abstract
Starting from the standard truncated Painlevé expansion and avariable separation approach, a general variable separation solution ofthe breaking soliton system is derived. In addition to the usuallocalized coherent soliton excitations like dromions, lumps, rings,breathers, instantons, oscillating soliton excitations, and previouslyrevealed chaotic and fractal localized solutions, some new types ofexcitations, peakons and foldons, are obtained by introducingappropriate lower-dimensional piecewise smooth functions and multiplevalued functions.
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