3 papers
nlin.SI2020
Localized structures on librational and rotational travelling waves in the sine-Gordon equation
Dmitry E. Pelinovsky, Robert E. White
We derive exact solutions to the sine--Gordon equation describing localized structures on the background of librational and rotational travelling waves. In the case of librational…
nlin.SI2019
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…
nlin.SI2019
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…