44 citations · 50 across the 8 of their papers we have counts for
8 papers
General Rational Solutions and Soliton Solutions of the Nonlocal Resonant Nonlinear Schrodinger Equations
Bo Wei, Zhenyun Qin, Gui Mu
General rational solutions for the nonlocal resonant nonlinear Schrodinger equations are derived by using the Hirota bilinear method and the KP hierarchy reduction method. These ra…
Bell Polynomial Approach and Wronskian Technique to Good Boussinesq Equation
Xiaotian Dai, Zhenyun Qin
The elementary and systematic binary Bell polynomial approach is applied to the good Boussinesq equation. The bilinear representation, -soliton solutions, bilinear Bäcklund tran…
Soliton resolution for the Harry Dym equation with weighted Sobolev initial data
Lin Deng, Zhenyun Qin
The soliton resolution for the Harry Dym equation is established for initial conditions in weighted Sobolev space . Combining the nonlinear steepest descent me…
Families of rational and semi-rational solutions of the partial reverse space-time nonlocal Mel'nikov equation
Wei Liu, Zhenyun Qin
Inspired by the works of Ablowitz, Mussliman and Fokas, a partial reverse space-time nonlocal Mel'nikov equation is introduced. This equation provides two dimensional analogues of…
Breather-like solitons extracted from the Peregrine rogue wave
Guangye Yang, Yan Wang, Zhenyun Qin +3
Based on the Peregrine solution (PS) of the nonlinear Schrödinger (NLS) equation, the evolution of rational fraction pulses surrounded by zero background is investigated. These pul…
Construction of Nth-order rogue wave solutions for Hirota equation by means of bilinear method
Gui Mu, Zhenyun Qin
In this work, we focus on the construction of Nth-rouge wave solutions for the Hirota equation by utilizing the bilinear method. The formula can be represented in terms of determin…
Initial-boundary value problems for the defocusing nonlinear Schrödinger equation in the semiclassical limit
Peter D. Miller, Zhenyun Qin
Initial-boundary value problems for integrable nonlinear partial differential equations have become tractable in recent years due to the development of so-called unified transform…
Dynamics of rogue waves on a multi-soliton background in a vector nonlinear Schrodinger equation
Gui Mu, Zhenyun Qin, Roger Grimshaw
General higher order rogue waves of a vector nonlinear Schrodinger equation (Manakov system) are derived using a Darboux-dressing transformation with an asymptotic expansion method…