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Exponentially Localized Solutions of Mel'nikov Equation

C. Senthil Kumar·R. Radha·M. Lakshmanan
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Abstract

The Mel'nikov equation is a (2+1) dimensional nonlinear evolution equation admitting boomeron type solutions. In this paper, after showing that it satisfies the Painlev\'{e} property, we obtain exponentially localized dromion type solutions from the bilinearized version which have not been reported so far. We also obtain more general dromion type solutions with spatially varying amplitude as well as induced multi-dromion solutions.

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C. Senthil Kumar, R. Radha, M. Lakshmanan. 2004-03-22. Exponentially Localized Solutions of Mel'nikov Equation. https://doi.org/10.1016/j.chaos.2004.02.046

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