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...
In this paper, we present solutions of the Klein–Gordon equation for the improved Manning–Rosen potential for arbitrary l state in d-dimensions using the supersymmetric shape invariance method. We obtained the energ...
The exact solutions of the N-dimensional Klein–Gordon equation in the presence of an exactly solvable potential of V(r)=De(r/re-re/r)2 type have been obtained. The N dimensional Klein-Gordon equation has been red...
We present analytical bound state solutions of the spin-zero Klein–Gordon (KG) particles in the field of unequal mix-ture of scalar and vector Yukawa potentials within the framework of the approximation scheme to t...
Project supported by the Guangdong Provincial Science and Technology Project, China (Grant No. 2012B010100043)
Starting from the traveling wave solution, in small amplitude approximation, the Sine–Gordon equation can be re- duced to a generalized Duffing equation to describe the dislocation motion in a superlattice, and the p...
The fractional derivatives in the sense of Caputo and the homotopy analysis method are used to construct an approximate solution for the nonlinear space-time fractional derivatives Klein-Gordon equation. The numerical...
Using the momentum space representation, we solve the Klein--Gordon equation in one spatial dimension for the case of mixed scalar and vector linear potentials in the context of deformed quantum mechanics characterize...
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...
supported by the National Natural Science Foundation of China (Grant No 10672053) ;the Natural Science Foundation of Hunan Province of China (Grant No 05JJ30007);the Scientific Research Fund of Hunan Institute of Science and Technology of China (Grant No 2007Y047)
By introducing an auxiliary ordinary differential equation and solving it by the method of variable separation abundant types of explicit and exact solutions for the double sinh-Gordon equation are derived in a simple...