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arXiv · 1703.09624

The height of an $n$th-order fundamental rogue wave for the nonlinear Schrödinger equation

Lihong Wang·Chenghao Yang·Ji Wang·Jingsong He
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Abstract

The height of an $n$th-order fundamental rogue wave $q_{\rm rw}^{[n]}$ for the nonlinear Schrödinger equation, namely $(2n+1)c$, is proved directly by a series of row operations on matrices appeared in the $n$-fold Darboux transformation. Here the positive constant $c$ denotes the height of the asymptotical plane of the rogue wave.

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Lihong Wang, Chenghao Yang, Ji Wang, Jingsong He. 2017-03-28. The height of an $n$th-order fundamental rogue wave for the nonlinear Schrödinger equation. https://doi.org/10.1016/j.physleta.2017.03.023

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