Jinbing Chen
Southeast University
35 Papers
81 Citations
Jinbing Chen is an academic researcher from Southeast University. The author has contributed to research in topics: Rogue wave & Integrable system. The author has an hindex of 9, co-authored 29 publications. Previous affiliations of Jinbing Chen include McMaster University.
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Papers
Rogue waves on the double-periodic background in the focusing nonlinear Schrödinger equation
TL;DR: The double-periodic solutions of the focusing nonlinear Schrödinger equation are constructed by using an algebraic method with two eigenvalues and the Lax spectrum is characterized and rogue waves arising on the background of such solutions are analyzed.
101
Periodic standing waves in the focusing nonlinear Schrödinger equation: Rogue waves and modulation instability
TL;DR: In this paper, exact solutions for rogue waves arising on the background of periodic standing waves in the focusing nonlinear Schrodinger equation were obtained by characterizing the Lax spectrum related to the periodic standing wave and by using the one-fold Darboux transformation.
69
Periodic travelling waves of the modified KdV equation and rogue waves on the periodic background
TL;DR: In this paper, the location of eigenvalues in the periodic spectral problem away from the imaginary axis was characterized by applying an algebraic method which relates the periodic travelling waves and the squared periodic eigenfunctions of the Lax operators.
64
Rogue periodic waves of the mKdV equation
TL;DR: In this article, the authors construct the rogue periodic waves of the modified Korteweg-de Vries (mKdV) equation expressed by Jacobian elliptic functions dn and cn respectively.
56
Modulational Instability of Periodic Standing Waves in the Derivative NLS Equation
TL;DR: In this paper, the periodic standing waves in the derivative nonlinear Schrodinger (DNLS) equation arising in plasma physics were classified in terms of eight eigenvalues of the Kaup-Newell spectral problem located at the end points of the spectral bands outside the real line.
29