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| 1 | Determinant representation of Darboux transformation for the AKNS system显示文摘The n-fold Darboux transform (DT) is a 2×2 matrix for the Ablowitz-Kaup-Newell-Segur (AKNS) system.In this paper,each element of this matrix is expressed by 2n + 1 ranks'determinants.Using these formulae,the determinant expressions of eigenfunctions generated by the n-fold DT are obtained.Furthermore,we give out the explicit forms of the n-soliton surface of the Nonlinear Schrodinger Equation (NLS) by the determinant of eigenfunctions. | HE Jingsong ZHANG Ling CHENG Yi LI Yishen | 2006 | Science China Mathematics2006，49，12： | 5 |
| 2 | The Lax Representation and Darboux Transformation for Constrained Flows of the AKNS Hierarchy | Zeng Yunbo Li Yishen Zeng Yunbo Department of Applied Mathematics Tsinghua University Beijing,100084 ChinaLi Yishen Department of Mathematics University of Science and Technology of China Hefei,230026 China | 1996 | Acta Mathematica Sinica,English Series1996，12，2： | 5 |
| 3 | The multi-soliton solutions of the CH-γ equation显示文摘This paper solves the integrable CH-γequation for analytical multiple soliton solutions with the Darboux transformation method.Some properties of the soliton solutions are different from the CH equation. | CHEN ChunLi~(1+) LI YiShen~2 ZHANG JinE~3 1 Department of Mathematics,Shanghai Jiaotong University,Shanghai 200240,China 2 Department of Mathematics,University of Science and Technology of China,Hefei 230026,China 3 SB and SEF,University of Hong Kong,Pokfulam Road,Hong Kong,China | 2008 | Science China Mathematics2008，51，2： | 3 |
| 4 | Matter-wave solitons and finite-amplitude Bloch waves in optical lattices with spatiaUy modulated nonlinearity显示文摘 | Zhang Jiefang Li Yishen Meng Jianping | 2010 | Physical Review A2010，82，03： | 1 |
| 5 | Photonic drop splitters based on self-collimation ring resonators in a silicon photonic crystal显示文摘 | Junjun Li Xiyao Chen Zexuan Qiang Junzhen Jiang Guimin Lin Xiaofu Xu Hui Li Yishen Qiu | 2011 | Optics Communications2011，，24： | 1 |
| 6 | One Special Inverse Problem of the Second Order Differential Equation on the Whole Real Axis显示文摘 | LI YISHEN | 1981 | Chin Ann of Math1981，2，2： | 1 |
| 7 | Darboux transformations of classical Boussinesq system and its multi-soliton solutions显示文摘 | Yishen Li Jin E. Zhang | 2001 | Physics Letters A2001，，6： | 1 |
| 8 | The reductions of the Darboux transformation and some solutions of the soliton equations 显示文摘 | Li Yishen | 1996 | J Phys A:Math Gen1996，29，9： | 1 |
| 9 | Bidirectional solitons on water显示文摘 | Zhang J E and Li Yishen | 2003 | Physics Review E2003，67，1： | 1 |
| 10 | Three kinds of Darboux transformation for the evolution equations which connect with AKNS eigenvalue problem显示文摘 | Li Yishen Gu xinshen Zou Maorong | 1987 | Acta Mathematica Sinica New Series1987，13，2： | 1 |
| 11 | Transformation operator of the nonlinear evoluion equations (IV) 显示文摘 | Li Yishen Chen Dengyuan | 1986 | Acta Mathematica Sinica1986，29，1： | 1 |
| 12 | Flow and Temperature Fields in Slab Continuous Casting Molds显示文摘In order to develop super-board and super-thick slabs, the flow and temperatur fields were studied in slab continuous casting molds under different practical conditions, such as slab dimensions, with-drawing slab speed, design of nozzles, and superheat tempera-ture. The results showed that it is preferred to incline nozzle bores downwards and the submerged depth of the nozzles is best kept be-tween 250-300 mm. In addition, the solidified shell is thicker at the wide face than that at the narrow face, while the thin points alongthe wide face ekist both in the center and in the some area toward each respective end. | Yin Zhang Liguo Cao Youduo He Shiqi Li Yishen Shen(Institute of Metallurgical Engineering, Baotou University of Iron & Steel Technology Baotou 014010, China)(Metallurgy School, University of Science and Technology Beijing, Beijing 100083, China) | 2000 | International Journal of Minerals,Metallurgy and Materials2000，14，2： | 1 |
| 13 | Darboux transformations of classical Boussinesq system and its new solutions显示文摘 | Li Yishen Ma Wenxiu Zhang Jin E | 2000 | Physics Letters A2000，275，： | 1 |
| 14 | Influence of Hydrodynamic Pore Pressure Damage on the Performance of Hot-Mixed Renewable Asphalt Mixture显示文摘For evaluating the water stability of hot-mixed renewable asphalt mixture(HRM),the traditional methods are all tested under still water conditions.Except for damage in still water conditions,the hydrodynamic pore pressure generated by the tire driving on the surface water has a great impact.Thus,the RAP contents of the HRMs were designed at 0%,30%,45%and 60%with AC-25 gradation.Then,the self-designed evaluation methods of water stability and dynamic modulus were studied.Finally,the mechanism of the influence of hydrodynamic pore pressure damage on HRMs was studied.The results show that the water stability of HRM containing 30%RAP is equivalent to that of 45%RAP,and the water stability of HRM containing 60%RAP decreases significantly.The Contabro test after MIST treatment can be used as an evaluation method for hydrodynamic pore pressure damage on HRM.Low-speed,heavy-load traffic and larger RAP content have greater damage to the mixture after hydrodynamic pore pressure damage.The performance differences between the aged bitumen and pure bitumen,as well as the aged minerals and new minerals,are continuing to be enlarged in hydrodynamic pore pressure conditions,finally affecting the water stability and dynamic modulus of the HRMs. | Guodong Zeng Chao Li Yang Fang Hongming Huang Hao Li Yishen Xu | 2023 | Journal of Renewable Materials2023，11，5： | 0 |
| 15 | Investigation of Multi-soliton,Multi-cuspon Solutions to the Camassa-Holm Equation and Their Interaction显示文摘The authors study the multi-soliton,multi-cuspon solutions to the Camassa-Holm equation and their interaction.According to the solution formula due to Li in 2004 and 2005,the authors give the proper choice of parameters for multi-soliton and multicuspon solutions,especially for n ≥ 3 case.The numerical method (the so-called local discontinuous Galerkin (LDG) method) is also used to simulate the solutions and give the comparison of exact solutions and numerical solutions.The numerical results for the two-soliton and one-cuspon,one-soliton and two-cuspon,three-soliton,three-cuspon,three-soliton and one-cuspon,two-soliton and two-cuspon,one-soliton and three-cuspon,four-soliton and four-cuspon are investigated by the numerical method for the first time,respectively. | Xiaozhou LI Yan XU Yishen LI | 2012 | Chinese Annals of Mathematics,Series B2012，33，2： | 0 |
| 16 | Exact solution of the Schrodinger equation for the time-dependent harmonic oscillator显示文摘By using the soliton theory, it is known that the exact solutions of the Schrdinger equation for the time_dependent harmonic oscillator only need to solve an oscillation equation with respect to space variable and a time_dependent Schrdinger equation. | LI Yishen HE Jingsong | 1998 | Chinese Science Bulletin1998，43，13： | 0 |
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