Lump solutions with higher-order rational dispersion relations
Pramana - Journal of Physics, ISSN: 0973-7111, Vol: 94, Issue: 1
2020
- 105Citations
- 7Captures
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Article Description
This paper aims to explore a kind of lump solutions in nonlinear dispersive waves with higher-order rational dispersion relations. We show that the second member in the commuting Kadomtsev–Petviashvili hierarchy is such an example, and construct its lump solutions, based on a Hirota trilinear form. The presented lump solutions have one peak and two valleys, where the global maximum and minimum values are achieved. A few three-dimensional plots and contour plots are made for a specific example of the lumps.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85079798312&origin=inward; http://dx.doi.org/10.1007/s12043-020-1918-9; http://link.springer.com/10.1007/s12043-020-1918-9; http://link.springer.com/content/pdf/10.1007/s12043-020-1918-9.pdf; http://link.springer.com/article/10.1007/s12043-020-1918-9/fulltext.html; https://dx.doi.org/10.1007/s12043-020-1918-9; https://link.springer.com/article/10.1007/s12043-020-1918-9
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