Klein-Gordon equation with pseudoharmonic oscillator has been corrected through physical acceptable solutions.In a way,we correct the energy spectra related to its behavior versus potential parameter De.
supported by the National Natural Science Foundation of China(Grant Nos.11201169,11271195,and 41231173);the Project of Graduate Education Innovation of Jiangsu Province,China(Grant No.CXLX13 366)
A local energy conservation law is proposed for the Klein--Gordon-Schrrdinger equations, which is held in any local time-space region. The local property is independent of the boundary condition and more essential tha...
Project supported by the Young Scientists Fund of the National Natural Science Foundation of China (Grant No. 11201169);the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No. 10KJB110001)
We propose multisymplectic implicit and explicit Fourier pseudospectral methods for the Klein-Gordon-Schrodinger equations.We prove that the implicit method satisfies the charge conservation law exactly.Both methods p...
We study the effects of the perpendicular magnetic and Aharonov-Bohm (AB) flux fields on the energy levels of a two-dimensional (2D) Klein Gordon (KG) particle subjected to an equal scalar and vector pseudo-harm...
Project supported by the National Natural Science Foundation of China (Grant No.10574011);the Foundation for Innovative Research Groups Foundation of Beijing Normal University
Nonlinearity has a crucial impact on the symmetry properties of dynamical systems. This paper studies a one-dimensional mixed Klein-Gordon/Fermi Pasta-Ulam diatomic chain using the expanded rotating plane-wave approxi...
Project supported by the National Natural Science Foundation of China (Grant No. 10735030);National Basic Research Program of China (Grant No. 2007CB814800);Ningbo Natural Science Foundation (Grant No. 2008A610017);K.C. Wong Magna Fund in Ningbo University
The Homotopy analysis method is applied to obtain the approximate solution of the Klein-Gordon Schrodinger equation. The Homotopy analysis solutions of the Klein-Gordon Schrodinger equation contain an auxiliary parame...
Project supported by the National Natural Science Foundation of China (Grant No 10574011);Natural Science Foundation of Heilongjiang Province,China (Grant No A200506)
We study a two-dimensional (2D) diatomic lattice of anhaxmonic oscillators with only quartic nearest-neighbor interactions, in which discrete breathers (DBs) can be explicitly constructed by an exact separation of...
Project supported by the National Natural Science Foundation of China (Grant No 10574011);Natural Science Foundation of Heilongjiang Province, China (Grant No A200506)
This paper studies a discrete one-dimensional monatomic Klein Gordon chain with only quartic nearest-neighbour interactions, in which the compact-like discrete breathers can be explicitly constructed by an exact separ...
Project supported by the Key Project of Hunan Provincial Educational Department of China (Grant No 04A058)
By means of the Glauber's coherent state method combined with multiple-scale method, this paper investigates the localized modes in a quantum one-dimensional Klein-Gordon chain and finds that the equation of motion o...
In this paper, the Klein-Gordon equation with the spherical symmetric Hulthén potential is turned into a hypergeometric equation and is solved in the framework of function analysis exactly. The corresponding bound st...