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个人简介

长期从事计算机符号计算及其在非线性科学中的应用研究工作。在国内率先开展数学物理方程解析解的符号计算研究,在非线性数学物理领域发表SCIE检索论文百余篇(他引次数超过1600次)、出版学术专著一部。作为骨干连续参加国家攀登计划“机器证明及其应用”、“数学机械化及其应用”和国家重点基础研究发展计划“数学机械化与自动推理平台”、“数学机械化及其在信息技术中的应用”等项目的研究。主持完成过多项国家自然科学基金项目、甘肃省自然科学基金项目、上海市自然科学基金项目以及教育部博士点专项基金项目。先后获得过霍英东教育基金会高校青年教师奖、国家优秀教学成果二等奖和上海市曙光学者称号。 社会兼职 国务院学位委员会第七届学科评议组(系统科学)成员

研究领域

非线性系统、计算机符号计算

近期论文

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李志斌,一类具不变性质的变系数偏微分方程的特解,数学研究与评论,7(2): 283-288,1987 李志斌,Heisenberg群上一类偏微分方程的初值问题,数学年刊A辑,10(5): 571-579,1989 Li ZB, Luo XB,The initial-value problem for the generalized heat operator on the Heisenberg-group,CHINESE SCIENCE BULLETIN,36(9): 710-712,1991 Li ZB, Wang ML,Travelling wave solutions to the two-dimensional KdV-Burgers equation,JOURNAL OF PHYSICS A: MATHEMATICS AND GENERAL,26(21): 6027-6031,1993 Wang ML, Zhou YB, Li ZB,Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics,PHYSICS LETTERS A,216(1-5): 67-75,1996 李志斌,张善卿,非线性波方程准确孤立波解的符号计算,数学物理学报,17(1): 81-89,1997 Wang ML, Zhou YB, Li ZB,A nonlinear transformation of the dispersive long wave equations in (2+1) dimensions and its applications,JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS,5(2): 120-125,1998 Zhang GX, Li ZB, Duan YS,Exact solitary wave solutions of nonlinear wave equations,SCIENCE IN CHINA SERIES A-MATHEMATICS,44(3): 396-401,2001 Li ZB, Liu YP,RATH: A Maple package for finding travelling solitary wave solutions to nonlinear evolution equations,COMPUTER PHYSICS COMMUNICATIONS,148(2): 256-266,2002 Liu YP, Li ZB,An automated Jacobi elliptic function method for finding periodic wave solutions to nonlinear evolution equations,CHINESE PHYSICS LETTERS,19(9): 1228-1230,2002 Yao RX, Li ZB,New exact solutions for three nonlinear evolution equations,PHYSICS LETTERS A,297(3-4): 196-204,2002 Xu GQ, Li ZB,A Maple package for the Painlevé test of nonlinear partial differential equations,CHINESE PHYSICS LETTERS,20(7): 975-978,2003 Zhou ZJ, Li ZB,A unified explicit construction of 2N-soliton solutions for evolution equations determined by 2 x 2 AKNS system,COMMUNICATIONS IN THEORETICAL PHYSICS,39(3): 257-260, 2003 Li ZB, Liu YP,RAEEM: A Maple package for finding a series of exact traveling wave solutions for nonlinear evolution equations,COMPUTER PHYSICS COMMUNICATIONS,163(3): 191-201,2004 Xu GQ, Li ZB,Symbolic computation of the Painlevé test for nonlinear partial differential equations using Maple,COMPUTER PHYSICS COMMUNICATIONS,161(1-2): 65-75,2004 Yao RX, Li ZB,An algorithm of constructing the conservation laws of nonlinear evolution equations,INTERNATIONAL JOURNAL OF MODERN PHYSICS B,18(17-19): 2633-2639,2004 Yao RX, Li ZB,Conservation laws and new exact solutions for the generalized seventh order KdV equation,CHAOS SOLITONS & FRACTALS,20(2): 259-266,2004 Yao RX,Qu CZ, Li ZB,On properties of new parameterized 5th-order nonlinear evolution equation,CHAOS SOLITONS & FRACTALS,21(5): 1145-1152,2004 Zhang SQ, Li ZB,Infinite-parameter potential symmetries and a new exact solution for the particle-cluster dynamic equation,CHINESE PHYSICS LETTERS,21(2): 223-226,2004 Xu GQ, Li ZB,Explicit solutions to the coupledKdVequations with variable coefficients,APPLIED MATHEMATICS & MECHANICS,26(1): 101-107,2005 Xu GQ, Li ZB,PDEPtest: a package for the Painlevé test of nonlinear partial differential equations,APPLIED MATHEMATICS & COMPUTATION,169(2): 1364-1379,2005 Zhang SQ, Zhang GX, Li ZB,ICS: a package for computing involutive characteristic set of algebraic partial differential equation systems,APPLIED MATHEMATICS & COMPUTATION,160(2): 551-577,2005 Yao RX, Li ZB,CONSLAW: A Maple package to construct the conservation laws for nonlinear evolution equations,APPLIED MATHEMATICS & COMPUTATION,173(1): 616-635,2006 Zhou ZJ, Fu JZ, Li ZB,An implementation for the algorithm of Hirota bilinear form of PDE in the Maple system,APPLIED MATHEMATICS & COMPUTATION,183(2): 872-877,2006 Gu HF, Li ZB,A modified Adomian method for system of nonlinear differential equations,APPLIED MATHEMATICS & COMPUTATION,187(1): 748-755,2007 Wang ZC, Qian HF, Li ZB,Hybrid proxy multisignature: A new type multi-party signature, INFORMATION SCIENCES,177(24): 5638-5650,2007 Zhang Y, Chen DY, Li ZB,The exact solution to Boussinesq equation through a limiting procedure,PHYSICA A,373(1): 174-182,2007 Chen Y, An HL, Li ZB,The function cascade synchronization approach with uncertain parameters or not for hyperchaotic systems,APPLIED MATHEMATICS AND COMPUTATION,197(1): 96-110,2008 Liu YP, Li ZB,Homotopy analysis method for nonlinear differential equations with fractional orders,ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,63a: 241-247,2008 Qian HF, Zhou Y, Li ZB, Wang ZC, Zhang B,Efficient public key encryption with smallest ciphertext expansion from factoring,DESIGNS, CODES & CRYPTOGRAGH,49(1-3): 233-249,2008 Yang P, Chen Y, Li ZB,An approach for solving short-wave models for Camassa-Holm equation and Degasperis-Procesi equation,COMMUNICATIONS IN THEORETICAL PHYSICS,50(3): 583-586,2008 Zhaqilao, Li ZB,New multi-soliton solutions for the (2+1)-Dimensional Kadomtsev Petviashvili equation,COMMUNICATIONS IN THEORETICAL PHYSICS,49(3): 585-589,2008 Zhaqilao, Li ZB,Darboux transformation and bidirectional soliton solutions of a new (2+1)-dimensional soliton equation,PHYSICS LETTERS A,372(1): 1422-1428,2008 Zhaqilao, Li ZB,Darboux transformation and various solutions for a nonlinear evolution equation in (3+1)-dimensions,MODERN PHYSICS LETTERS B,22(30): 2945-2966,2008 Liu YP, Yao RX, Li ZB,An application of a homotopy analysis method to nonlinear composites,JOURNAL OF PHYSICS A-MATHEMATICAL & THEORETICAL,42(12): 125205+18p,2009 Wang ZC,Qian HF,Li ZB,Adaptively secure threshold signature scheme in the standard model,INFORMATICA,20(4): 591-612,2009 Zhao YL, Liu YL, Li ZB,A modified WTC algorithm for the Painlevé test of nonlinear variable-coefficient PDEs,COMPUTER PHYSICS COMMUNICATIONS,180(11): 2123-2128,2009 Zhaqilao, Li ZB,Positon, negaton, soliton and complexiton solutions to a four dimensional nonlinear evolution equation,MODERN PHYSICS LETTERS B,23(25): 2971-2991,2009 Zhaqilao, Li ZB,Solitary wave solutions to the generalized coupled mKdV equation with multi-component,JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,359(2): 794-800,2009 He J,Qian HF,Zhou Y,Li ZB,Cryptanalysis and improvement of a block cipher based on multiple chaotic systems,MATHEMATICAL PROBLEMS IN ENGINEERING,Article ID 590590: 1-14,2010 Li F,Li ZB,Pi L,Variable exponent functionals in image restoration,APPLIED MATHEMATICS & COMPUTATION,216(3): 870-882,2010 Xu M, Chen LY, Zeng ZB, Li ZB,Reachability analysis of rational eigenvalue linear systems,INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE,41(12): 1411-1419,2010 Xu M, Chen LY, Zeng ZB, Li ZB,Termination analysis of linear loops,INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE,21(6): 1005-1019,2010 Xu M, Mu CD, Zeng ZB, Li ZB,A heuristic approach to positive root isolation for multiple power sums,JOURNAL OF UNIVERSAL COMPUTER SCIENCE,16(14): 1912-1926,2010 Yang P, Chen Y, Li ZB,Analytic approximations for the soliton solutions of short-wave models for Camassa-Holm and Degasperis-Procesi equations,COMMUNICATIONS IN THEORETICAL PHYSICS,53(6): 1027-1034,2010 Zhou ZJ, Fu JZ, Li ZB,Maple packages for computing Hirota's bilinear equation and multisoliton solutions of nonlinear evolution equations,APPLIED MATHEMATICS AND COMPUTATION,217(1): 92-104,2010 Lin YZ, Liu YP, Li ZB,Symbolic computation of analytic approximate solutions for nonlinear differential equations with initial conditions,COMPUTER PHYSICS COMMUNICATIONS,183(1): 106-117,2012 Liu YP, Liao, SJ, Li ZB,A maple package of automated derivation of homotopy analysis solution for periodic nonlinear oscillations,JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,25(3): 594-616,2012 Rao F, Wang WM, Li ZB,Stability analysis of an epidemic model with diffusion and stochastic perturbation,COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,17(6): 2551-2563,2012 Lin YZ, Liu YP, Li ZB,Exact solutions for pattern formation in a reaction-diffusion system,INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION,14(5): 307-315,2013 Lin YZ, Liu YP, Li ZB,Symbolic computation of analytic approximate solutions for nonlinear fractional differential equations,COMPUTER PHYSICS COMMUNICATIONS,184(1): 130-141,2013 Liu YP, Liao, SJ, Li ZB,Symbolic computation of strongly nonlinear periodic oscillations,JOURNAL OF SYMBOLIC COMPUTATION,55: 72-95,2013 Xu M, Li ZB,Symbolic termination analysis of solvable loops,JOURNAL OF SYMBOLIC COMPUTATION,50(1): 28-49,2013 Qian HF, Zhou Y, Li ZB, Chen ZJ,Generating signatures with optimal overhead: practical paddings for signature schemes,SECURITY AND COMMUNICATION NETWORKS,7(12): 2345-2355,2014 Xu M, Li ZB, Yang L,Quantifier elimination for a class of exponential polynomial formulas,JOURNAL OF SYMBOLIC COMPUTATION,68(1): 146-168,2015 Xu M, Huang CC, Li ZB, Zeng ZB,Analyzing ultimate positivity for solvable systems,THEORETICAL COMPUTER SCIENCE,609(2): 395-412,2016

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