supported by the NSFC(Grants Nos.12175178and 12247103);Shaanxi Fundamental Science Research Project for Mathematics and Physics(Grant No.22JSY016);Graduate innovation project of Northwest University(Grant No.CX2024137)。
We study fundamental dark-bright solitons and the interaction of vector nonlinear Schr?dinger equations in both focusing and defocusing regimes.Classification of possible types of soliton solutions is given.There are ...
In this article,several kinds of novel exact waves solutions of three well-known different space-time fractional nonlinear coupled waves dynamical models are constructed with the aid of simpler and effective improved ...
Project supported by the National Natural Science Foundation of China(Grant No.12201329);the Zhejiang Provincial Natural Science Foundation of China(Grant No.LY24A010002);the Natural Science Foundation of Ningbo(Grant No.2023J126)。
The third-order flow Gerdjikov–Ivanov(TOFGI)equation is studied,and the Darboux transformation(DT)is used to obtain the determinant expression of the solution of this equation.On this basis,the soliton solution,ratio...
the Science and Engineering Research Board,Government of India for Grant No.CRG/2021/002428;DST-SERB,Government of India for providing the National Post-Doctoral Fellowship under Grant No.PDF/2023/000619;the Department of Science and Technology (DST),India,for the financial support under the Women Scientist Scheme-A;supported by the Science and Engineering Research Board,Government of India,under Grant No.CRG/2021/002428;MoE-RUSA 2.0 Physical Sciences,Government of India,for sponsoring this research work。
We introduce a novel neural network structure called strongly constrained theory-guided neural network(SCTgNN),to investigate the behaviour of the localized solutions of the generalized nonlinear Schr?dinger(NLS)equat...
the Fundamental Research Funds for the Central Universities(Grant No.2024MS126).
We study the dynamics of fundamental and double-pole breathers and solitons for the focusing and defocusing nonlinear Schrodinger equation with the sextic operator under non-zero boundary conditions. Our analysis main...
Fundamental Research Funds for the Provincial Universities of Zhejiang (GK239909299001-026);Natural Science Foundation of Zhejiang Province (LQ24F050016);National Natural Science Foundation of China (61971065,62301195, 12261131503);Innovation Program for Quantum Science and Technology (2023ZD0301500);Shenzhen-Hong Kong Cooperation Zone for Technology and Innovation(HZQBKCZYB2020050)。
Breathers are localized structures that undergo a periodic oscillation in their duration and amplitude. Optical microresonators, benefiting from their high-quality factor, provide an ideal test bench for studying brea...
supported by the National Natural Science Foundation of China(Grant Nos.12175178,12047502,and 12004309);the Major Basic Research Program of Natural Science of Shaanxi Province(Grant No.2017KCT-12);the Natural Science basic Research Program of Shaanxi Province(Grant No.2022KJXX-71)。
We reveal a special subset of non-degenerate Akhmediev breather(AB)solutions of Manakov equations that only exist in the focusing case.Based on exact solutions,we present the existence diagram of such excitations on t...
This work was supported by the National Natural Science Foundation of China(Grant Nos.11875220,12047502,and 12022513).
We report a kind of kink-like breathers in one-dimensional Bose–Einstein condensates (BECs) with helicoidal spin–orbit coupling (SOC), on whose two sides the background densities manifest obvious difference (called ...
In this paper,we propose a new method,the variable separation technique,for obtaining a breather and rogue wave solution to the nonlinear evolution equation.Integrable systems of the derivative nonlinear Schr?dinger t...
supported by the National Natural Science Foundation of China(Nos.11925108 and 11731014)。
The dimensionless third-order nonlinear Schrodinger equation(alias the Hirota equation) is investigated via deep leaning neural networks. In this paper, we use the physics-informed neural networks(PINNs) deep learning...