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N-Dark-Dark Solitons in the Generally Coupled Nonlinear Schroedinger Equations
Yasuhiro Ohta, Dengshan Wang, Jianke Yang
N-dark-dark solitons in the generally coupled integrable NLS equations are derived by the KP-hierarchy reduction method. These solitons exist when nonlinearities are all defocusing…
Motion and Bäcklund Transformations of Discrete Plane Curves
Jun-ichi Inoguchi, Kenji Kajiwara, Nozomu Matsuura +1
We construct explicit solutions to the discrete motion of discrete plane curves that has been introduced by one of the authors recently. Explicit formulas in terms the function…
Integrable discretizations for the short wave model of the Camassa-Holm equation
Bao-Feng Feng, Ken-ichi Maruno, Yasuhiro Ohta
The link between the short wave model of the Camassa-Holm equation (SCHE) and bilinear equations of the two-dimensional Toda lattice (2DTL) is clarified. The parametric form of N-c…