We describe a class of self-dual dark nonlinear dynamical systems a priori allowing their quasilinearization,whose integrability can be effectively studied by means of a geometrically based gradient-holonomic approach...
SMIT and SMU for research support(6100/SMIT/R&D/Project/05/2018)。
Superperiodicity,chaos and coexisting orbits of ion-acoustic waves(IAWs)are studied in a multi-component plasma consisting of fluid ions,q-nonextensive cold and hot electrons and Maxwellian hot positrons.The significa...
Finite-amplitude supernonlinear electron-acoustic waves(EAWs)are investigated under the nonlinear Schrödinger(NLS)equation in a plasma system that is composed of cold electronfluid,immobile ions and q-nonextensive hot...
Supported by the National Science Foundation of China under Grant Nos.11371293,11501419;the Mathematical Discipline Foundation of Shaanxi Province of China under Grant No.14TSXK02;the Natural Science Foundation of Weinan Normal University under Grant No.16ZRRC05 and 15YKS005;Natural Science Foundation of Hebei Province of China under Grant No.A2018207030
The functionally generalized variable separation solutions of a general KdV-type equations u_t=u_(xxx) +A(u, u_x)u_(xx) + B(u, u_x) are investigated by developing the conditional Lie-Backlund symmetry method. A comple...
Supported by the Fundamental Research Funds for the Central University under Grant No.2017XKZD11
We extend two known dynamical systems obtained by Blaszak, et al. via choosing Casimir functions and utilizing Novikov-Lax equation so that a series of novel dynamical systems including generalized Burgers dynamical s...
Supported by Hunan Provincial Natural Science Foundation of China under Grant No.2016JJ4036;University Natural Science Foundation of Jiangsu Province under Grant No.14KJB120007;the National Natural Science Foundation of China under Grant Nos.11504176and 11602084
A three-dimensional autonomous chaotic system is discussed in this paper. Some basic dynamical properties of the system, including phase portrait, Poincar′e map, power spectrum, Kaplan–Yorke dimension, Lyapunov expo...
Supported by the Natural Science Foundation of Yunnan Province under Grant No.2013FZ117;the National Natural Science Foundation of China under No.11364017
The bifurcations of traveling wave solutions of the Broer–Kaup system are investigated and all possible exact parametric representations of the smooth and peaked solitary waves are presented.
We study an autonomous system of first order ordinary differential equations based on the vector product. We show that the system is completely integrable by constructing the first integrals.The connection with Nambu ...
National Natural Science Foundation of China under Grant Nos.10472091,10332030,and 10502042
A stochastic dissipative dynamical system driven by non-Gaussian noise is investigated. A general approximate Fokker-Planck equation of the system is derived through a path-integral approach. Based on the definition o...
Based on the total time derivative along the trajectory of the system, for noneonservative dynamical system, the generalized Mei conserved quantity indirectly deduced from the Lie symmetry of the system is studied. Fi...