46 citations · 88 across the 4 of their papers we have counts for
4 papers
The solutions of classical and nonlocal nonlinear Schrödinger equations with nonzero backgrounds: Bilinearisation and reduction approach
Da-jun Zhang, Shi-min Liu, Xiao Deng
In this paper we develop a bilinearisation-reduction approach to derive solutions to the classical and nonlocal nonlinear Schrödinger (NLS) equations with nonzero backgrounds. We s…
Solutions to integrable space-time shifted nonlocal equations
Shi-min Liu, Jing Wang, Da-jun Zhang
In this paper we present a reduction technique based on bilinearization and double Wronskians (or double Casoratians) to obtain explicit multi-soliton solutions for the integrable…
New dynamics of the classical and nonlocal Gross-Pitaevskii equation with a parabolic potential
Shi-min Liu, Hua Wu, Da-jun Zhang
Solutions of the classical and nonlocal Gross-Pitaevskii (GP) equation with a parabolic potential and a gain term are derived by using a second order nonisospectral Ablowitz-Kaup-N…
Covariant hodograph transformations between nonlocal short pulse models and AKNS system
Kui Chen, Shimin Liu, Da-jun Zhang
The paper presents hodograph transformation between nonlocal short pulse models and the first member in the AKNS negative hierarchy (AKNS()). We consider real and complex multi…