10 citations · 21 across the 7 of their papers we have counts for
8 papers
Quantum dissipative dynamics of driven Duffing oscillator near attractors
Wei Feng, Lingzhen Guo
We investigate the quantum dissipative dynamics near the stable states (attractors) of a driven Duffing oscillator. A refined perturbation theory that can treat two perturbative pa…
Discrete nonlinear Schrödinger type equations: Solutions and continuum limits
Song-lin Zhao, Xiao-hui Feng, Wei Feng
As local and nonlocal reductions of a discrete second-order Ablowitz-Kaup-Newell-Segur equation, two discrete nonlinear Schrödinger type equations are considered. Through the bilin…
Local and nonlocal complex discrete and semi-discrete sine-Gordon equations and solutions
Xiao-bo Xiang, Wei Feng, Song-lin Zhao
In this paper, local and nonlocal complex reduction of a discrete and a semi-discrete negative order Ablowitz-Kaup-Newell- Segur equations is studied. Cauchy matrix type solutions,…
Solutions to nonlocal nonisospectral (2+1)-dimensional breaking soliton equations
Hai-jing Xu, Wei Feng, Song-lin Zhao
Nonlocal reductions of a nonisospectral (2+1)-dimensional breaking soliton Ablowitz-Kaup-Newell-Segur equation are discussed on the base of double Wronskian reduction technique. Va…
Generalized Cauchy matrix approach for non-autonomous discrete Kadomtsev-Petviashvili system
Songlin Zhao, Wei Feng, Shoufeng Shen +1
In this paper, we investigate the non-autonomous discrete Kadomtsev-Petviashvili (KP) system in terms of generalized Cauchy matrix approach. These equations include non-autonomous…
Exact solutions of semilinear radial Schrodinger equations by separation of group foliation variables
Stephen C. Anco, Wei Feng, Thomas Wolf
Explicit solutions are obtained for a class of semilinear radial Schrodinger equations with power nonlinearities in multi-dimensions. These solutions include new similarity solutio…
Kadomtsev-Petviashvili system and reduction: generalized Cauchy matrix approach
Song-lin Zhao, Shou-feng Shen, Wei Feng
By the Sylvester equation $\bL\bM-\bM\bK=\br\bs^{\st}$ together with an evolution equation set of $\br$ and $\bs$, generalized Cauchy matrix approach is established to investigate…
Group-invariant solutions of semilinear Schrodinger equations in multi- dimensions
Stephen C. Anco, Wei Feng
Symmetry group methods are applied to obtain all explicit group-invariant radial solutions to a class of semilinear Schrodinger equations in dimensions . Both focusing and…