相关期刊:《Communications in Theoretical Physics》《Wuhan University Journal of Natural Sciences》《Chinese Physics B》《Applied Mathematics and Mechanics(English Edition)》更多>>
Project supported by the National Natural Science Foundation of China(Grant Nos.52171251 and U21062251);Program of Science and Technology Innovation of Dalian(Grant No.2022JJ12GX036).
The degradation and nonlinear interactions of a two-breather solution of the Mel’nikov equation are analyzed.By modulating the phase shift and limit method,we prove that in different regions near the non-singular bou...
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 ...
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...
Project supported by the National Natural Science Foundation of China(Grant No.12271096);the Natural Science Foundation of Fujian Province(Grant No.2021J01302)。
Under investigation is the n-component nonlinear Schrödinger equation with higher-order effects,which describes the ultrashort pulses in the birefringent fiber.Based on the Lax pair,the eigenfunction and generalized D...
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 behavior of a chemical tanker(CT)in extreme waves was discussed in detail,that is,in terms of rigid body heave and pitch motions,vertical bending moments(VBMs)amidships,green water,and slamming impacts through the...
In this study,the fifth-order modified Korteweg-de Vries(F-MKdV)equation is first addressed using Hi-rota’s bilinear method.Thereafter,the exact and approximative solutions of the generalized form of the F-MKdV equat...
Project supported by the the Fundamental Research Funds for the Central Universities(Grant No.2023MS163).
We study a generalized higher-order nonlinear Schr¨odinger equation in an optical fiber or a planar waveguide.We obtain the Lax pair and N-fold Darboux transformation(DT)with N being a positive integer.Based on Lax p...
supported by the Office of Naval Research and the Office of Naval Research MURI program,DARPA,National Science Foundation,and Lawrence-Livermore National Laboratory.
Solitons,the distinct balance between nonlinearity and dispersion,provide a route toward ultrafast electromagnetic pulse shaping,high-harmonic generation,real-time image processing,and RF photonic communications.Here ...