388 citations · 2.8k across the 44 of their papers we have counts for
5 papers · 1 filter
The Cauchy problem and wave-breaking phenomenon for a generalized sine-type FORQ/mCH equation
Guoquan Qin, Zhenya Yan, Boling Guo
In this paper, we are concerned with the Cauchy problem and wave-breaking phenomenon for a sine-type modified Camassa-Holm (alias sine-FORQ/mCH) equation. Employing the transport e…
Orbital stability of peakon solutions for a generalized higher-order Camassa-Holm equation
Guoquan Qin, Zhenya Yan, Boling Guo
In this paper, we investigate the orbital stability issue of a generalized higher-order Camassa-Holm (HOCH) equation, which is an higher-order extension of the quadratic CH equatio…
The Cauchy problem and multi-peakons for the mCH-Novikov-CH equation with quadratic and cubic nonlinearities
Guoquan Qina, Zhenya Yan, Boling Guo
This paper investigates the Cauchy problem of a generalized Camassa-Holm equation with quadratic and cubic nonlinearities (alias the mCH-Novikov-CH equation), which is a generaliza…
Higher-dimensional soliton generation, stability and excitations of the PT-symmetric nonlinear Schrödinger equations
Yong Chen, Zhenya Yan, Boris A. Malomed
We study a class of physically intriguing PT-symmetric generalized Scarf-II (GS-II) potentials, which can support exact solitons in one- and multi-dimensional nonlinear Schrödinger…
Deep learning neural networks for the third-order nonlinear Schrodinger equation: Solitons, breathers, and rogue waves
Zijian Zhou, Zhenya Yan
The third-order nonlinear Schrodinger equation (alias the Hirota equation) is investigated via deep leaning neural networks, which describes the strongly dispersive ion-acoustic wa…