510 citations · 819 across the 11 of their papers we have counts for
12 papers
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…