supported by NSFC under Grant No.12272403;Beijing Training Program of Innovation under Grant No.S202410019024。
Introducing PT-symmetric generalized Scarf-Ⅱpotentials into the three-coupled nonlinear Gross-Pitaevskii equations offers a new way to seek stable soliton states in quasi-onedimensional spin-1 Bose-Einstein condensat...
supported by the National Natural Science Foundation of China(Grant nos.12075145 and 12211540002);the Science and Technology Commission of Shanghai Municipal(Grant no.2019SHZDZX01-ZX04)。
This article primarily establishes a two-soliton system and employs the Lewis-Riesenfeld invariant inverse control method to achieve shortcuts to adiabaticity(STA)technology.We study an atomic soliton Josephson juncti...
provided by the National Natural Science Foundation of China (Grant No. 12271324);the Natural Science Basic Research Program of Shaanxi Province (Grant No. 2024JC-YBQN-0069);the China Postdoctoral Science Foundation (Grant No. 2024M751921);the 2023 Shaanxi Province Postdoctoral Research Project (Grant No.2023BSHEDZZ186);the Fundamental Research Funds for the Central Universities (Grant No. 1301032598)。
The(2 + 1)-dimensional generalized fifth-order Kd V(2GKd V) equation is revisited via combined physical and mathematical methods. By using the Hirota perturbation expansion technique and via setting the nonzero backgr...
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...
In this paper,we investigate the Cauchy problem of the Sasa-Satsuma(SS)equation with initial data belonging to the Schwartz space.The SS equation is one of the integrable higher-order extensions of the nonlinear Schrö...
supported by the National Natural Science Foundation of China(Contract Nos.12375005 and 12235007);the Major Basic Research Program of Natural Science of Shaanxi Province(Grant No.2018KJXX-094).
Exact analytical solutions are good candidates for studying and explaining the dynamics of solitons in nonlinear systems.We further extend the region of existence of spin solitons in the nonlinearity coefficient space...
supported by the National Natural Science Foundation of China(No.12375006).
A(2+1)-dimensional modified KdV(2DmKdV)system is considered from several perspectives.Firstly,residue symmetry,a type of nonlocal symmetry,and the Bäcklund transformation are obtained via the truncated Painlevéexpans...
supported by the National Science Foundation of China(Grant No.12271104,51879045)。
In this paper,we address interesting soliton resolution,asymptotic stability of N-soliton solutions and the Painleve asymptotics for the Kundu-Eckhaus(KE)equation with nonzero boundary conditions iq_(t)+q_(xx)-2(l|q|^...
The main aim of this paper is to investigate the different types of soliton molecule solutions of the second extend(3+1)-dimensional Jimbo-Miwa equation in a fluid.Four different localized waves:line solitons,breather...
the National Natural Science Foundation of China(Grant Nos.11975204 and 12075208);the Project of Zhoushan City Science and Technology Bureau(Grant No.2021C21015);the Training Program for Leading Talents in Universities of Zhejiang Province。
Starting from the multi-soliton solutions obtained by the Hirota bilinear method,the soli ton molecule structures for the combined mKdV-type bilinear equation(Dt+∑n=1NαnDx2n+1)f*·f=0 are investigated using the velo...