4 papers · 1 filter
Two-dimensional rogue waves on zero background of the Davey-Stewartson II equation
Lijuan Guo, Jingsong He, Lihong Wang +3
A prototypical example of a rogue wave structure in a two-dimensional model is presented in the context of the Davey-Stewartson~II (DS~II) equation arising in water waves. The anal…
Construction of rational solutions of the real modified Korteweg-de Vries equation from its periodic solutions
Qiuxia Xing, Lihong Wang, Dumitru Mihalache +2
In this paper, we consider the real modified Korteweg-de Vries (mKdV) equation and construct a special kind of breather solution, which can be obtained by taking the limit …
Generation of higher-order rogue waves from multi-breathers by double degeneracy in an optical fibre
Lihong Wang, Jingsong He, Hui Xu +1
In this paper, we construct a special kind of breather solution of the nonlinear Schrödinger (NLS) equation, the so-called breather-positon ({\it b-positon} for short), which can b…
The height of an th-order fundamental rogue wave for the nonlinear Schrödinger equation
Lihong Wang, Chenghao Yang, Ji Wang +1
The height of an th-order fundamental rogue wave for the nonlinear Schrödinger equation, namely , is proved directly by a series of row operations on…