138 citations · 583 across the 12 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
nlin.PS2017★ 121 cited
Rogue periodic waves of the focusing NLS equation
Jinbing Chen, Dmitry E. Pelinovsky
Rogue waves on the periodic background are considered for the nonlinear Schrodinger (NLS) equation in the focusing case. The two periodic wave solutions are expressed by the Jacobi…
nlin.SI2017★ 4 cited
Neumann Type Integrable Reduction to the Negative-Order Coupled Harry--Dym Hierarchy
Jinbing Chen
Based on the Lax compatibility, the negative-order coupled Harry--Dym (ncHD) hierarchy depending upon one parameter is retrieved in the Lenard scheme, which includes the two-co…
nlin.SI2017★ 138 cited
Rogue periodic waves of the mKdV equation
Jinbing Chen, Dmitry E. Pelinovsky
Traveling periodic waves of the modified Korteweg-de Vries (mKdV) equation are considered in the focusing case. By using one-fold and two-fold Darboux transformations, we construct…