funded by the National Natural Science Foundation of China(Grant Nos.12371256&11971475)。
In this paper,two different methods for calculating the conservation laws are used,these are the direct construction of conservation laws and the conservation theorem proposed by Ibragimov.Using these two methods,we o...
the South African National Space Agency (SANSA) for funding this work
This paper is devoted to the investigation of the Landau–Ginzburg–Higgs equation(LGHe),which serves as a mathematical model to understand phenomena such as superconductivity and cyclotron waves.The LGHe finds applic...
supported by the Studienstiftung des deutschen Volkes;supported by NSF grant DMS-1903437。
This paper,largely written in 2009/2010,fits Landau-Ginzburg models into the mirror symmetry program pursued by the last author jointly with Mark Gross since 2001.This point of view transparently brings in tropical di...
This manuscript studies the optical dromions with beta derivative(BD)applied to the Complex Ginzburg Landau equation(CGLE)with Kerr law,parabolic law,cubic quintic septic law and quadratic cubic law.We obtain bright d...
We systematically study the evolution of modulated nerve impulses in a myelinated nerve fiber, where both the ionic current and membrane capacitance provide the necessary nonlinear feedbacks. This is achieved by using...
In this paper,we study the higher-order generalized Ginzburg–Landau model which contributes to describing the propagation of optical solitons in fibers.By means of the Hirota bilinear method,the analytical solutions ...
supported by NSFC(11271028,11325101,11671033,11831017,11890660,11890661)
The concept of tt^(*)geometric structure was introduced by physicists(see[4,9]and references therein),and then studied firstly in mathematics by C.Hertling[26].It is believed that the tt*geometric structure contains t...
This paper presents intensive investigation of dynamics of high frequency nonlinear modulated excitations in a damped bimodal lattice. The effects of the dissipation are considered through a linear dissipation coeffic...
Project supported by the National Natural Science Foundation of China(Grant Nos.11564003 and 11865005);the Natural Science Foundation of Guangxi Province of China(Grant No.2018GXNSFAA281024)。
We numerically solve the time-dependent Ginzburg–Landau equations for two-gap superconductors using the finite-element technique. The real-time simulation shows that at low magnetic field, the vortices in small-size ...