浙师大数理与信息工程学院导师介绍:张翼
姓名:张翼 职称:教授 所在学院:数理与信息工程学院
姓名:张翼
职称:教授
所在学院:数理与信息工程学院
研究方向:孤立子与可积系统;应用数学与数学建模
学术兼职:浙江省应用数学研究会副理事长、浙江师范大学期刊社副社长、《中学教研》(数学)主编、浙江师范大学学报(自然科学版)副主编
科研项目(课题)
1.参加国家973项目子课题“微分方程的符号计算(No.2004CB318000);
2.参加国家自然科学基金项目孤子方程新解与元胞自动机(No.10371070);
3.国家自然科学基金重点项目“动力系统的分支与应用(No. 10831003)”(核心成员);
4.国家自然科学基金项目“多重Hopf分支、周期映射和孤立子方程精确解研究(No.10771196) ”( 联合主持,主持项目第二部分工作);
5.主持完成浙江省自然科学基金项目“基于双线性方法的孤子可积系统”(No. Y605044);
6.主持浙江省自然科学基金项目“孤子方程的精确解及其符号计算研究” (No. Y7080198);
7.主持浙江省新世纪教改项目“数学建模与数学实验的改革与实践”(2007);
8.全国九五教育规划重点课题“文化传统与数学教育现代化”(第二主持人,2005);
9.浙江省自然科学基金项目“带非线性约束的逼近与优化问题”(第二主持人,2003);
10.主持浙江省教育厅项目“离散孤子系统若干问题研究”(No.20050280);
11.主持浙江省教育厅项目“数学实验的教育价值研究(2001);
12.主持浙江省人事厅高级继续教育“非线性波及其应用高级研讨班”项目(2008);
13.主持浙江师范大学“数学主干课程教学与实践教学团队” 项目;
14.主持教育部大学数学研究与发展中心项目“大学数学与中学数学的衔接研究”
15.数学浙江省高等学校创新团队主要成员;
16.浙江省自然科学基金(杰出青年团队项目)主要成员。
论文著作
著作:
1.《初等数学建模活动》(浙江科学技术出版社出版,2001),独立
2.教育部重点规划教材《数学建模方法》(华东师大出版社出版,2003),主要作者
3.参编中国社会科学院研究生教材《经济系统分析》(中国社会科学出版社出版,1999),主要作者。
论文:
1.Y.Zhang, Deng-yuan Chen and Zhi-bin Li, The exact solution to the Boussinesq equation through a limiting procedure, Physica A , 373 (2007) 174-182.
2.Yi Zhang, Ling-ya Ye, Yi-neng Lv and Hai-qiong Zhao, Periodic wave solutions of the Boussinesq equation, J. Phys. A: Math. Theor. 40 (2007) ,no.21,5539-5549.
3.Yi Zhang, Yi-neng Lv, Ling-ya Ye, Hai-qiong Zhao, The exact solutions to the complex KdV equation, Physics Letter A 367(2007), no. 6, 465--472.
4.Yi Zhang and Ji-Bin Li. Comment on “On Two-Loop Soliton Solution of the Schäfer–Wayne Short-Pulse Equation Using Hirota's Method and Hodnett–Molony Approach”, J. Phys. Soc. Jpn., 76 (2007) 116001.
5.Yi Zhang,Yi-neng Lv. On the nonisospectral modified Kadomtsev–Peviashvili equation,Journal of Mathematical Analysis and Applications 342 (2008), no. 1, 534-541.
6.Yi Zhang, Linya Ye, Rational and periodic wave solutions of two-dimensional Boussinesq equation, Commu. Theor. Phys.,49 (2008) no.4, 815–824.
7.Ling-ya Ye, Yi-neng Lv, Yi Zhang, Hui-Ping Jin,Grammian solutions to variable-coefficient KP equation, Chin.Phys.Lett. 25 (2008) ,no.2 , 357--358.(Corresponding author)
8.Yi Zhang, Jibin Li, Yi-neng Lv,The exact solution and integrable properties to the variable-coefficient modified Korteweg–de Vries equation, Annals of Physics, 323 (2008) no. 12, 3059-3064.
9.Jibin Li, Yi Zhang, Exact travelling wave solutions in a nonlinear elastic rod equation Applied Mathematics and Computation, 202( 2008) ,no.2, 504--510.
10.Jibin Li, Yi Zhang, Exact loop solutions, cusp solutions, solitary wave solutions and periodic wave solutions for the special CH–DP equation, Nonlinear Analysis: Real World Applications,10(2009)2502-2507.
11.Jibin Li, Yi Zhang, Exact M/W-shape solitary wave solutions determined by a singular traveling wave equation, Nonlinear Analysis: Real World Applications,10(2009)no. 3, 1797-1802.
12.Yi Zhang, Hong-Xian Xu, Cai-Zheng Yao and Xiao-Na Cai, A class of exact solutions of the generalized nonlinear Schrodinger equation, Reports on Mathematical Physics, 63 (2009) 427--439.
13.Yi Zhang, Xiao-Na Cai, Cai-Zheng Yao and Hong-Xian Xu, EXACT DARK SOLITON SOLUTION OF THE GENERALIZED NONLINEAR SCHRÖDINGER EQUATION, Modern Physics Letters B,23 (2009) 2869-2888.
14.Yi Zhang, Xiao-na Cai, Hong-xian Xu, A note on “The integrable KdV6 equation: Multiple soliton solutions and multiple singular soliton solutions”, Applied Mathematics and Computation, Volume 214, Issue 1, 1 August 2009, Pages 1-3.
15.Yi Zhang, Cai-zhen Yao, Xiao-na Cai, Hong-xian Xu, Exact solutions to a coupled modified KdV equations with non-uniformity terms, Physics Letters A, Volume 373, Issue 42, 12 October 2009, Pages 3861-3866.
16.Yi Zhang, Li-Jin Chu, Bo-Ling Guo, Positons, negatons and complexitons of the mKdV equation with non-uniformity terms,Applied Mathematics and Computation, 217 (2010) 1463–1469.
17.Jian-Ya Ge, Yi Zhang, Deng-Yuan Chen, Extended Wronskian formula for solutions to the Korteweg de Vries equation, Journal of Physics: Conference Series 96 (2008) 012071. ( Corresponding author)ICTP
18.Xia Tie-Cheng; Yu Fa-Jun, Chen Deng-Yuan, Zhang Yi, Multi-component SC Lax integrable hierarchy of soliton equations and its multi-component integrable coupling system with two arbitrary functions. Commun. Theor. Phys. (Beijing) 42 (2004), no. 6, 807--810.
19.Xia Tiecheng; Yu Fajun; Zhang Yi, The multi-component coupled Burgers hierarchy of soliton equations and its multi-component integrable couplings system with two arbitrary functions. Phys. A 343 (2004), no. 1-4, 238-246.
20.Zhang Yi, New N-soliton solutions for the Sawada-Kotera equation. J. Shanghai Univ. 8 (2004), no. 2, 132--133.
21.Li J B Zhang Y and Zhao X H, On a class of singular nonlinear travelling wave equations (II): an example of GCKdV equations, International Journal of bifurcation and chaos 19(2009) 1995-2007.
22.JIBIN LI,YI ZHANG, GUANRONG CHEN, EXACT SOLUTIONS AND THEIR DYNAMICS OF TRAVELING WAVES IN THREE TYPICALNONLINEAR WAVE EQUATIONS, International Journal of Bifurcation and Chaos, Vol. 19, No. 7 (2009) 2249–2266
23.Yi Zhang, Hai-qiong Zhao, Ji-bin Li, The long wave limiting of the discrete nonlinear evolution equations, Chaos, Solitons and Fractals, 42 (2009) 2965–2972.
24.Wen-Xiu Ma,Yi Zhang, Component-trace identities for Hamiltonian structures,Applicable Analysis,04 January 2010,1-16.
25.Yi Zhang and Jiao-Jiao Yan, Soliton resonance of the NI-BKP equation, AIP Conf. Proc. 1212, 231 (2010)ISTP
26.Jibin Li ,Yi Zhang,Bifurcations and parametric representations of traveling wave solutions for the (2+1)-dimensional Boiti–Leon–Pempinelle system, Mathematical Methods in the Applied Sciences,DOI: 10.1002/mma.1341。
27.Wen-Xiu Ma, Tingwen Huang and Yi Zhang, A multiple exp-function method for nonlinear differential equations and its application, Phys. Scr. 82 (2010) 065003 \doi:10.1088/0031-8949/82/06/065003
28.Jibin Li ,Yi Zhang,Bifurcations and parametric representations of traveling wave solutions for the (2+1)-dimensional Boiti–Leon–Pempinelle system, Mathematical Methods in the Applied Sciences,DOI: 10.1002/mma.1341
29.Yi Zhang , Xiao-lan Dang, Hong-xian Xu,Bäcklund transformations and soliton solutions for the KdV6 equation,APPL. MATH. COMPUT (2011).
30.Yi Zhang , Teng fei Cheng, Da jun Ding, Xiao-lan Dang,Wronskian and grammian solutions for 2+1-dimensions soliton equation, Commun. Theor. Phys. 55(2011) 20-24.
获奖情况
1.“数学建模与高师数学教育改革“2001年获浙江省人民政府优秀教学成果二等奖;
2.“基于双线性方法的孤子可积系统”2005年获得浙江省高校科研成果三等奖;
3.“非线性发展方程精确解以及动力学性质研究”2008年获得浙江省高校科研成果一等奖。
指导研究生简况:已毕业研究生6名,教育硕士8名。
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