Project supported by the National Natural Science Foundation of China(Grant No.11574153);the Foundation of the Ministry of Industry and Information Technology of China(Grant No.TSXK2022D007)。
This study numerically investigates the nonlinear interaction of head-on solitary waves in a granular chain(a nonintegrable system)and compares the simulation results with the theoretical results in fluid(an integrabl...
We consider a modified Noguchi network and study the impact of the nonlinear quadratic dispersion on the dynamics of modulated waves. In the semi-discrete limit, we show that the dynamics of these waves are governed b...
Project supported by the National Natural Science Foundation of China(Grant Nos.11565021 and 11047010);the Scientific Research Foundation of Northwest Normal University,China(Grant No.NWNU-LKQN-16-3)
We numerically investigate the nonlinear waves propagating in a one-dimensional particle chain when the damping effect is taken into account. It is found that decaying solitary waves exist, in which the amplitude of t...
Project supported by the National Magnetic Confinement Fusion Science Program of China(Grant No.2014GB104002);the National Natural Science Foundation of China(Grant No.11647313);the Youth Science and Technology Foundation of Gansu Province,China(Grant No.1606RJYA263);the Institutes of Higher Education Institutions of Gansu Province,China(Grant No.2015B-022)
The head on collision between two opposite propagating solitary waves is studied in the present paper both numerically and analytically.The interesting result is that no phase shift is observed which is different from...
Nucleus-acoustic(NA) solitary waves(SWs) propagating in a self-gravitating degenerate quantum plasma(SDQP)system(containing non-relativistically degenerate heavy and light nuclei,and non-/ultra-relativistically...
Project supported by the National Natural Science Foundation of China(Grant Nos.11671255 and 11701510);the Ministry of Economy and Competitiveness of Spain(Grant No.MTM2016-80276-P(AEI/FEDER,EU));the China Postdoctoral Science Foundation(Grant No.2017M621964)
We study a nonintegrable discrete nonlinear SchriSdinger (dNLS) equation with the term of nonlinear nearest-neighbor interaction occurred in nonlinear optical waveguide arrays. By using discrete Fourier transformati...
Project supported by the Strategic Priority Research Program of the Chinese Academy of Sciences(Grant No.XDA01020304);the National Natural Science Foundation of China(Grant Nos.91026005,11547304,11275156,11047010,and 61162017)
A nonlinear Schrodinger equation in one-dimensional bead chain is first obtained and an envelope solitary wave of the system is verified numerically in this system. The reflection and the transmission of an incident e...
supported by the Scientific and Technological Research Council of Turkey(Grant No.113F394)
In this paper, an approximate function for the Galerkin method is composed using the combination of the exponential B-spline functions. Regularized long wave equation (RLW) is integrated fully by using an exponentia...
supported by the National Natural Science Foundation of China(Grant No.41406018)
In the past few decades, the (1 + 1)-dimensional nonlinear Schr6dinger (NLS) equation had been derived for envelope Rossby solitary waves in a line by employing the perturbation expansion method. But, with the de...
The aim of the present paper is to present a numerical algorithm for the time-dependent generalized regularized long wave equation with boundary conditions. We semi-discretize the continuous problem by means of the Cr...