394 citations · 2.8k across the 62 of their papers we have counts for
62 papers
General rogue wave solutions to the discrete nonlinear Schrödinger equation
Yasuhiro Ohta, Bao-Feng Feng
In the present paper, we attempt to construct both the general rogue wave solutions to the fully discrete nonlinear Schrödinger (fd-NLS) equation via the KP-Toda reduction method.…
Discrete and Ultradiscrete Periodic Phase Soliton Equations
Hidetomo Nagai, Yasuhiro Ohta, Ryogo Hirota
We propose new type of discrete and ultradiscrete soliton equations, which admit extended soliton solution called periodic phase soliton solution. The discrete equation is derived…
Isoperimetric deformations of curves on the Minkowski plane
Hyeongki Park, Jun-ichi Inoguchi, Kenji Kajiwara +3
We formulate an isoperimetric deformation of curves on the Minkowski plane, which is governed by the defocusing mKdV equation. Two classes of exact solutions to the defocusing mKdV…
General high-order rogue waves of the (1+1)-dimensional Yajima-Oikawa system
Junchao Chen, Yong Chen, Bao-Feng Feng +2
General high-order rogue wave solutions for the (1+1)-dimensional Yajima-Oikawa (YO) system are derived by using Hirota's bilinear method and the KP-hierarchy reduction technique.…
Discrete Local Induction Equation
Sampei Hirose, Jun-ichi Inoguchi, Kenji Kajiwara +2
The local induction equation, or the binormal flow on space curves is a well-known model of deformation of space curves as it describes the dynamics of vortex filaments, and the co…
-Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation
Bao-Feng Feng, Yasuhiro Ohta
In this paper, a general bright-dark soliton solution in the form of Pfaffian is constructed for an integrable semi-discrete vector NLS equation via Hirota's bilinear method. One-…