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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…
Measurement of the Spin-Orbit Angle of Exoplanet HAT-P-1b
John A. Johnson, Joshua N. Winn, Norio Narita +16
We present new spectroscopic and photometric observations of the HAT-P-1 planetary system. Spectra obtained during three transits exhibit the Rossiter-McLaughlin effect, allowing u…
An integrable semi-discretization of the Camassa-Holm equation and its determinant solution
Yasuhiro Ohta, Ken-ichi Maruno, Bao-Feng Feng
An integrable semi-discretization of the Camassa-Holm equation is presented. The keys of its construction are bilinear forms and determinant structure of solutions of the CH equati…
Localized Solitons of a (2+1)-dimensional Nonlocal Nonlinear Schrödinger Equation
Ken-ichi Maruno, Yasuhiro Ohta
A new integrable (2+1)-dimensional nonlocal nonlinear Schrödinger equation is proposed. The -soliton solution is given by Gram type determinant. It is found that the localized N…
Bilinearization and Casorati determinant solution to the non-autonomous discrete KdV equation
Kenji Kajiwara, Yasuhiro Ohta
Casorati determinant solution to the non-autonomous discrete KdV equation is constructed by using the bilinear formalism. We present three different bilinear formulations which hav…