5 papers
Rogue waves on the background of periodic standing waves in the derivative NLS equation
Jinbing Chen, Dmitry E. Pelinovsky
The derivative nonlinear Schrodinger (DNLS) equation is the canonical model for dynamics of nonlinear waves in plasma physics and optics. We study exact solutions describing rogue…
Rogue waves on the double-periodic background in the focusing nonlinear Schrodinger equation
Jinbing Chen, Dmitry E. Pelinovsky, Robert E. White
The double-periodic solutions of the focusing nonlinear Schrodinger equation have been previously obtained by the method of separation of variables. We construct these solutions by…
Quasi-periodic solutions to the negative-order KdV hierarchy
Jinbing Chen
A complete algorithm is developed to deduce quasi-periodic solutions for the negative-order KdV (nKdV) hierarchy by using the backward Neumann systems. From the nonlinearization of…
Rogue waves on the periodic wave background in the focusing nonlinear Schrodinger equation
Jinbing Chen, Dmitry E. Pelinovsky, Robert E. White
We present exact solutions for rogue waves arising on the background of periodic waves in the focusing nonlinear Schrodinger equation. The exact solutions are obtained by character…
Periodic travelling waves of the modified KdV equation and rogue waves on the periodic background
Jinbing Chen, Dmitry E. Pelinovsky
We address the most general periodic travelling wave of the modified Korteweg-de Vries (mKdV) equation written as a rational function of Jacobian elliptic functions. By applying an…