国家自然科学基金(s61072147)

作品数：5被引量：15H指数：3
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Multi-soliton solutions for the coupled modified nonlinear Schrdinger equations via Riemann–Hilbert approach被引量：3
《Chinese Physics B》2018年第7期171-178,共8页Zhou-Zheng Kang Tie-Cheng Xia Xi Ma 
Project supported by the National Natural Science Foundation of China(Grant Nos.61072147 and 11271008)
The coupled modified nonlinear Schrodinger equations are under investigation in this work. Starting from analyzing the spectral problem of the Lax pair, a Riemann-Hilbert problem for the coupled modified nonlinear Sch...
关键词：coupled modified nonlinear Schrodinger equations Riemann-Hilbert approach multi-soliton so-lutions 
Image encryption technique based on new two-dimensional fractional-order discrete chaotic map and Menezes–Vanstone elliptic curve cryptosystem被引量：2
《Chinese Physics B》2018年第3期161-176,共16页Zeyu Liu Tiecheng Xia Jinbo Wang 
Project supported by the National Natural Science Foundation of China(Grant Nos.61072147 and 11271008)
We propose a new fractional two-dimensional triangle function combination discrete chaotic map(2D-TFCDM)with the discrete fractional difference.Moreover,the chaos behaviors of the proposed map are observed and the bif...
关键词：CHAOS fractional two-dimensional triangle function combination discrete chaotic map image encryption Menezes-Vanstone elliptic curve cryptosystem 
Binary nonlinearization of the super classical-Boussinesq hierarchy被引量：3
《Chinese Physics B》2011年第7期13-21,共9页陶司兴 王惠 史会 
Project supported by the National Natural Science Foundation of China (Grant Nos.61072147 and 11071159);the Natural Science Foundation of Shanghai,China (Grant No.09ZR1410800);the Science Foundation of the Key Laboratory of Mathematics Mechanization,China (Grant No.KLMM0806);the Shanghai Leading Academic Discipline Project,China (Grant No.J50101);the Key Disciplines of Shanghai Municipality of China (Grant No.S30104)
The symmetry constraint and binary nonlinearization of Lax pairs for the super classical-Boussinesq hierarchy is obtained. Under the obtained symmetry constraint, the n-th flow of the super classical-Boussinesq hierar...
关键词：symmetry constraints binary nonlinearization super classical-Boussinesq hierarchy super finite-dimensional integrable Hamiltonian systems 
New exact solutions of nonlinear differential-difference equations with symbolic computation
《Journal of Shanghai University(English Edition)》2010年第6期415-419,共5页熊守全 夏铁成 
Project supported by the National Natural Science Foundation of China (Grant Nos.61072147,11071159);the Natural Science Foundation of Shanghai Municipality (Grant No.09ZR1410800);the Science Foundation of Key Laboratory of Mathematics Mechanization (Grant No.KLMM0806);the Shanghai Leading Academic Discipline Project (Grant Nos.J50101, S30104)
In this paper, the Toda equation and the discrete nonlinear Schrdinger equation with a saturable nonlinearity via the discrete ＂ （G′/G＂）-expansion method are researched. As a result, with the aid of the symbolic ...
关键词：discrete （＂G′/G＂）-expansion method Toda equation discrete nonlinear Schrdinger equation saturable nonlinearity hyperbolic function solution trigonometric function solution 
Two new integrable couplings of the soliton hierarchies with self-consistent sources被引量：7
《Chinese Physics B》2010年第10期49-56,共8页夏铁成 
Project supported by the Natural Science Foundation of Shanghai (Grant No. 09ZR1410800);the Science Foundation of Key Laboratory of Mathematics Mechanization (Grant No. KLMM0806);the Shanghai Leading Academic Discipline Project (Grant No. J50101);the Key Disciplines of Shanghai Municipality (Grant No. S30104);the National Natural Science Foundation of China (Grant Nos. 61072147 and 11071159)
A kind of integrable coupling of soliton equations hierarchy with self-consistent sources associated with s/（4） has been presented （Yu F J and Li L 2009 Appl. Math. Comput. 207 171; Yu F J 2008 Phys. Lett. A 372 6...
关键词：TC hierarchy generalized Burgers hierarchy self-consistent sources integrable couplings loop algebra 
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