supported by the National Natural Science Foundation of China under Grant No.12375006;the Weimu Technology Company Limited of Hangzhou of China under Grant No.KYY-HX-20240495。
The main focus of this paper is to address a generalized(2+1)-dimensional Hirota bilinear equation utilizing the bilinear neural network method.The paper presents the periodic solutions through a single-layer model of...
New diverse enormous soliton solutions to the Gross-Pitaevskii equation,which describes the dynamics of two dark solitons in a polarization condensate under non-resonant pumping,have been constructed for the first tim...
We explore the variable generalized Chaplygin gas(VGCG)model in the theory of matter creation cosmology within the framework of a spatially homogeneous and isotropic flat Friedmann—Lemai tre—Robertson—Walker space-...
supported by the National Natural Science Foundation of China(Grant No.12174147);the Chinese Scholarship Council(Grant Nos.202108210152 and 202006175016).
We perform benchmark calculations of the p-wave resonances in the exponentially cosine screened Coulomb potential using the uniform complex-scaling generalized pseudo-spectral method.The present results show significa...
supported by the National Natural Science Foundation of China(Nos.12101572,12371256);2023 Shanxi Province Graduate Innovation Project(No.2023KY614);the 19th Graduate Science and Technology Project of North University of China(No.20231943)。
In this paper,we mainly focus on proving the existence of lump solutions to a generalized(3+1)-dimensional nonlinear differential equation.Hirota’s bilinear method and a quadratic function method are employed to deri...
supported in part by the‘Qing Lan Project’of Jiangsu Province(2020);the‘333 Project’of Jiangsu Province(No.BRA2020246);the National Natural Science Foundation of China(12271488,11975145,and 11972291);the Ministry of Science and Technology of China(G2021016032L).
Based on a soliton hierarchy associated with so(3,R),we construct two integrable nonlocal PT-symmetric generalized mKdV equations.The key step is to formulate two nonlocal reverse-spacetime similarity transformations ...
supported by the National Natural Science Foundation of China under Grant No.12071286;by the Ministry of Economy and Competitiveness of Spain under contract PID2020-115273GB-I00(AEI/FEDER,EU)。
As is well known,the Sasa-Satsuma equation is an important integrable high order nonlinear Schr?dinger equation.In this paper,a two-component generalized Sasa-Satsuma(g SS)equation is investigated.We construct the n-f...
supported by the National Training Programs of Innovation and Entrepreneurship for Undergraduates(Grant No.202210304006Z);supported by the Jiangsu Training Programs of Innovation and Entrepreneurship for Undergraduates(Grant No.202210304076Y)。
Any changes in resistor conditions will increase the difficulty of resistor network research.This paper considers a new model of a generalized 2×n resistor network with an arbitrary intermediate axis that was previou...
In this paper,we consider the analogy of the Penrose process in charged Vaidya spacetime.We calculate the border of the generalized ergosphere,in which the charged particles with negative energy might exist,and show t...