510 citations · 819 across the 11 of their papers we have counts for
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Integrable full discretization of the multi-component short pulse equation
Ayako Hori, Yuta Tanaka, Ken-ichi Maruno +2
We propose a new formulation of the multi-component short pulse (MCSP) equation that includes the coupled complex short pulse (CCSP) equation as a reduction. Using Hirota's bilinea…
An integrable semi-discretization of the two-component Hunter-Saxton equation
Ayako Hori, Yuta Tanaka, Ken-ichi Maruno +1
In this paper, we propose an integrable semi-discretization of the two-component Hunter--Saxton (2-HS) equation, the short-wave limit of the two-component Camassa--Holm (2-CH) equa…
Integrable self-adaptive moving mesh schemes for multi-component short pulse type equations with nonzero boundary values
Ayako Hori, Ken-ichi Maruno, Yasuhiro Ohta +1
In this paper, we construct integrable self-adaptive moving mesh schemes for multi-component modified short pulse and short pulse equations with nonzero boundary values by using th…
General high-order rogue waves and their dynamics in the nonlinear Schroedinger equation
Yasuhiro Ohta, Jianke Yang
General high-order rogue waves in the nonlinear Schroedinger equation are derived by the bilinear method. These rogue waves are given in terms of determinants whose matrix elements…
A unified description of the asymmetric q-P_{v} and d-P_{iv} equations and their Schlesinger transformations
B. Grammaticos, A. Ramani, Y. Ohta
We present a geometric description, based on the affine Weyl group E_{6}^{(1)}, of two discrete analogues of the Painlevé VI equation, known as the asymmetric q-P_{V} and asymmetri…
The Sasa-Satsuma higher order nonlinear Schrodinger equation and its bilinearization and multi-soliton solutions
C. Gilson, J. Hietarinta, J. Nimmo +1
Higher order and multicomponent generalizations of the nonlinear Schrodinger equation are important in various applications, e.g., in optics. One of these equations, the integrable…
The space of initial conditions for linearisable mappings
T. Takenawa, M. Eguchi, B. Grammaticos +3
We apply the algebraic-geometric techniques developed for the study of mappings which have the singularity confinement property to mappings which are integrable through linearisati…