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The Sasa-Satsuma equation with high-order discrete spectra in space-time solitonic regions:soliton resolution via the mixed■-Riemann-Hilbert problem: 《Communications in Theoretical Physics》2024年第6期13-25,共13页Minghe Zhang Zhenya Yan; 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...; 关键词：Sasa-Satsuma equation inverse scattering ■-Riemann-Hilbert problem ■steepest descent method soliton resolution

The unified transform method to the high-order nonlinear Schrodinger equation with periodic initial condition: 《Communications in Theoretical Physics》2022年第8期1-10,共10页Leilei Liu Weiguo Zhang Jian Xu Yuli Guo; funded by National Natural Science Foundation of China(No.11471215)。; In this paper,we study the high-order nonlinear Schrodinger equation with periodic initial conditions via the unified transform method extended by Fokas and Lenells.For the high-order nonlinear Schrodinger equation,th...; 关键词：periodic initial condition high-order nonlinear Schrodinger equation unified transform method Riemann–Hilbert problem

A deep learning method for solving high-order nonlinear soliton equations被引量：1: 《Communications in Theoretical Physics》2022年第7期57-69,共13页Shikun Cui Zhen Wang Jiaqi Han Xinyu Cui Qicheng Meng; supported by National Science Foundation of China(52171251);Liao Ning Revitalization Talents Program(XLYC1907014);the Fundamental Research Funds for the Central Universities(DUT21ZD205);Ministry of Industry and Information Technology(2019-357);the Project of State Key Laboratory of Satellite Ocean Environment Dynamics,Second Institute of Oceanography,MNR(QNHX2112)。; We propose an effective scheme of the deep learning method for high-order nonlinear soliton equations and explore the influence of activation functions on the calculation results for higherorder nonlinear soliton equa...; 关键词：deep learning method physics-informed neural networks high-order nonlinear soliton equations interaction between solitons the numerical driven solution

High-order breather,M-kink lump and semi-rational solutions of potential Kadomtsev-Petviashvili equation被引量：1: 《Communications in Theoretical Physics》2021年第3期28-35,共8页Yulei Cao Yi Cheng Jingsong He Yiren Chen; supported by the NSF of China under Grant No.12001377,Grant No.11671219 and Grant No.12071304.; N-kink soliton and high-order synchronized breather solutions for potential Kadomtsev-Petviashvili equation are derived by means of the Hirota bilinear method,and the limit process of high-order synchronized breathers...; 关键词：PKP equation bilinear method BREATHER Af-kink lump semi-rational solution

High-Order Lump-Type Solutions and Their Interaction Solutions to a (3+1)-Dimensional Nonlinear Evolution Equation: 《Communications in Theoretical Physics》2019年第8期927-934,共8页Tao Fang Hui Wang Yun-Hu Wang Wen-Xiu Ma; Supported by the National Natural Science Foundation of China under Grant Nos.11571008,51679132;National Science Foundation under Grant No.DMS-1664561;the Shanghai Science and Technology Committee under Grant No.17040501600; By means of the Hirota bilinear method and symbolic computation, high-order lump-type solutions and a kind of interaction solutions are presented for a(3+1)-dimensional nonlinear evolution equation.The high-order lump...; 关键词：HIGH-ORDER lump-type SOLUTIONS INTERACTION SOLUTIONS HIROTA BILINEAR method

Dynamics of High-Order Spin-Orbit Couplings about Linear Momenta in Compact Binary Systems: 《Communications in Theoretical Physics》2017年第9期375-381,共7页Li Huang Xin Wu Li-Jie Mei Guo-Qing Huang; Supported by the National Natural Science Foundation of China under Grant Nos.11533004,11663005;the Natural Science Foundation of Jiangxi Province under Grant Nos.20153BCB22001 and 20171BAB211005; This paper relates to the post-Newtonian Hamiltonian dynamics of spinning compact binaries, consisting of the Newtonian Kepler problem and the leading, next-to-leading and next-to-next-to-leading order spin-orbit coup...; 关键词：black hole binaries post-Newtonian approximation spin-orbit couplings CHAOS

Time Evolution,Dynamical Quantum Fluctuation and High-Order Squeezing Feature in Polariton System——Ⅰ: 《Communications in Theoretical Physics》2010年第11期913-924,共12页梁国栋余晓敏余超凡; Supported by the Foundation of Scientific Research Education and Innovations under Grant No.11609506,Jinan University; We have set up a new reduced model Hamiltonian for the polariton system, in which the nonlinear interaction contains the rotating term k l （ a ＋ b ＋ ab＋） and the attractive two-mode squeezed coupling - k2 （ a ...; 关键词：dynamic evolution of polariton system quantum fluctuation high-order squeezing

Efficient Scheme for Macroscopic Superpositions and Entanglement of High-Order Squeezed Vacuum States in Cavity QED: 《Communications in Theoretical Physics》2008年第5期1187-1190,共4页CHEN Chang-Yong; The project supported by National Natural Science Foundation of China under Grant Nos.10774042,10474118 and 1047200;the Science Research Fund of Hunan Institute of Humanity and Science and Technology under Grant No.2005A008; We propose an etticient scheme for generating the macroscopic superpositions and the entanglement between the high-order squeezed vacuum states by considering the multi-photon interaction of N two-level atoms in a cav...; 关键词：multiparty entanglement cavity QED multi-photon interaction

High-Order Binary Symmetry Constraints of a Liouville Integrable Hierarchy and Its Integrable Couplings: 《Communications in Theoretical Physics》2008年第3期540-544,共5页CHEN Lan-Xin SUN Ye-Peng ZHANG Jun-Xian; supported by China Postdoctoral Science Foundation and National Natural Science Foundation of China under Grant No.10471139; A 3 × 3 matrix spectral problem and a Liouville integrable hierarchy are constructed by designing a new subalgebra of loop algebra A^-2. Furthermore, high-order binary symmetry constraints of the corresponding hierar...; 关键词：Liouville integrable hierarchy loop algebra symmetry constraint binary nonlinearization integrable coupling

High-Order Hamilton's Principle and the Hamilton's Principle of High-Order Lagrangian Function被引量：2: 《Communications in Theoretical Physics》2008年第2期297-302,共6页ZHAO Hong-Xia MA Shan-Jun; the Natural Science Foundation of Jiangxi Province;the Foundation of Education Department of Jiangxi Province under Grant No.[2007]136; In this paper, based on the theorem of the high-order velocity energy, integration and variation principle, the high-order Hamilton＇s principle of general holonomic systems is given. Then, three-order Lagrangian equa...; 关键词：Hamilton＇s principle high-order velocity energy integration and variation principle Lagrangian function

HIGH-ORDER