98 citations · 777 across the 45 of their papers we have counts for
4 papers · 1 filter
A possible mechanism of generation of extreme waves in shallow water
Ken-ichi Maruno, Hidekazu tsuji, Masayuki Oikawa
We consider a mechanism of generation of huge waves by multi-soliton resonant interactions. A non-stationary wave amplification phenomenon is found in some exact solutions of the K…
Exact Localized Solutions of Quintic Discrete Nonlinear Schrödinger Equation
Ken-ichi Maruno, Yasuhiro Ohta, Nalini Joshi
We study a new quintic discrete nonlinear Schrödinger (QDNLS) equation which reduces naturally to an interesting symmetric difference equation of the form .…
Optical soliton solutions of the quintic complex Swift-Hohenberg equation
Adrian Ankiewicz, Ken-ichi Maruno, Nail Akhmediev
Using a direct ansatz approach, we have found a number of zero-velocity analytic solutons of the complex quintic Swift-Hohenberg equation. These find application in assorted optica…
Exact soliton solutions of the one-dimensional complex Swift-Hohenberg equation
Ken-ichi Maruno, Adrian Ankiewicz, Nail Akhmediev
Using Painlevé analysis, the Hirota multi-linear method and a direct ansatz technique, we study analytic solutions of the (1+1)-dimensional complex cubic and quintic Swift-Hohenber…