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- W2298839685 abstract "We construct here rational solutions to the Kadomtsev–Petviashvili equation (KPI) as a quotient of two polynomials in x, y and t depending on several real parameters. This method provides an infinite hierarchy of rational solutions written in terms of polynomials of degrees 2N(N+1) in x, y and t depending on 2N−2 real parameters for each positive integer N. We give explicit expressions of the solutions in the simplest cases N=1 and N=2 and we study the patterns of their modulus in the (x,y) plane for different values of time t and parameters." @default.
- W2298839685 created "2016-06-24" @default.
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- W2298839685 date "2016-04-01" @default.
- W2298839685 modified "2023-10-17" @default.
- W2298839685 title "Rational solutions to the KPI equation and multi rogue waves" @default.
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- W2298839685 doi "https://doi.org/10.1016/j.aop.2016.01.013" @default.
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