In environments with water depth variations, one-way modal solutions involve mode coupling. Higham and Tindle developed an accurate and fast approach using perturbation theory to locally determine the change in mode f...
Supported by the National Natural Science Foundation of China under Grant Nos 11547125 and 11465008;the Hunan Provincial Natural Science Foundation under Grant Nos 2015JJ4020 and 2015JJ2114;the Scientific Research Fund of Hunan Provincial Education Department under Grant No 14A118
We investigate the stability and collision dynamics of dissipative matter-wave solitons formed in a quasi-one- dimensional Bose-Einstein condensate with linear gain and three-body recombination loss perturbed by a wea...
We study linear perturbations about a dust filled Bianchi type-I model with the vorticity set to zero. In comparisonto linear perturbations about the Friedmann-Lemaitre Robertson Walker models, modes of perturbations ...
Supported by the National Natural Science Foundation of China under Grant Nos 20976075,10972091 and 11002093;College Graduate Student Scientific Research Innovation Foundation of Jiangsu Province under Grant No CXLX12-0619.
By introducing weak periodic perturbation to the Oregonator,we investigate a mathematical model with two time scales.The novel dynamical phenomena called the single-Hopf bursting with unusually quiescent state are obs...
Supported by University Grant Commission(UGC)of India through the UGC-SRF Scheme.
We deal with the solutions to the radial Schr(o)dinger equation for the Coulomb perturbed potential in Ndimensional Hilbert space by using two methods,i.e.the power series technique via a suitable ansatz to the wavefu...
The puma model on the basis of the Lorentz and CPT violation may bring an economical interpretation to the conventional neutrinos oscillation and part of the anomalous oscillations.We study the effect of the perturbat...
by the National Natural Science Foundation of China under Grant Nos 10872136,11072065,10932006 and 11002093.
We present a novel model which comprises a rotating pendulum linked by an oblique spring pinned to its rigid support.This model provides a cylindrical dynamical system with both smooth and discontinuous regimes depend...
Supported by the National Natural Science Foundation of China under Grant No 10175025.
Instability of a planar shock front perturbed by a corrugated interface is analyzed,where the perturbation wavelength is along the shock front plane.The presented analysis involves the effects of the features on the s...
A new means of generating all-optically high-repetition-rate pulse trains is proposed and numerically demonstrated in an optical fiber. Our numerical simulations show that, due to the modulation instability effect, th...
Supported by the National Basic Research Program of China under Grant Nos 2009CB929600 and 2006CB921900, the Knowledge Innovation Project of Chinese Academy of Sciences, and the National Natural Science Foundation of China under Grant Nos 10604052, 10804104 and 10874163.
We show that the conventional renormalization group method can be used to give an analytic description of the evolution of a soliton in a perturbed KdV equation. The renormalization group equations describe the deform...