49 citations · 79 across the 5 of their papers we have counts for
5 papers
Soliton interactions of the Kadomtsev-Petviashvili equation and generation of large-amplitude water waves
Gino Biondini, Ken-ichi Maruno, Masayuki Oikawa +1
We study the maximum wave amplitude produced by line-soliton interactions of the Kadomtsev-Petviashvili II (KPII) equation, and we discuss a mechanism of generation of large amplit…
Note on the 2-component Analogue of 2-dimensional Long Wave-Short Wave Resonance Interaction System
Ken-ichi Maruno, Yasuhiro Ohta, Masayuki Oikawa
An integrable two-component analogue of the two-dimensional long wave-short wave resonance interaction (2c-2d-LSRI) system is studied. Wronskian solutions of 2c-2d-LSRI system are…
Two-component Analogue of Two-dimensional Long Wave-Short Wave Resonance Interaction Equations: A Derivation and Solutions
Yasuhiro Ohta, Ken-ichi Maruno, Masayuki Oikawa
The two-component analogue of two-dimensional long wave-short wave resonance interaction equations is derived in a physical setting. Wronskian solutions of the integrable two-compo…
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…
Bilinearization of Discrete Soliton Equations and Singularity Confinement
K. Maruno, K. Kajiwara, S. Nakao +1
Bilinear forms for some nonlinear partial difference equations(discrete soliton equations) are derived based on the results of singularity confinement. Using the bilinear forms, th…