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偏微分方程-吴红霞

发布时间:2016年06月07日 15:19      访问次数:

姓名:吴红霞

职称:副教授

职务:硕士生导师

主讲课程:数学分析、复变函数、数学物理方程、常微分方程、泛函分析、孤立

        子理论与可积系统等

研究领域:立子理论与可积系统

工作室:章辉楼522

电子邮件:wuhongxia796@163.comwuhongxia@jmu.edu.cn

个人简介:

集美大学理学院教师、副教授、硕士生导师,集美大学理学院“偏微分方程”科研团队学术带头人, 北京理工大学理学博士。多年来一直从事孤立子和可积系统方面的研究。主持2项国家自然科学基金项目、2项福建省自然科学基金项目。同国内外知名专家、学者开展活跃的合作研究,在带源可积系统、非交换可积系统、无色散可积系统等方面做出了一系列成果,在包括“Inverse Problems”, “Journal of Mathematical Physics”,  “Physics Letters A”,  “Journal of Physics A”,“Physics A”等国内外期刊上发表学术论文近30篇,其中SCI 收录21篇(见发表论文)。美国《数学评论》评论员,曾获得北京理工大学最高奖学金:中科院奖学金。2015.8-2016.8应邀到美国UTRGV进行学术交流和访问。2012年获集美校友会“陈嘉庚奖教金”,同年获福建省高等学校青年教师教学竞赛三等奖。

科研项目:

[1] 主持国家自然科学基金项目,“无色散和非交换系统的可积耦合推广及其求解”(11201178),22万,2013.1-2015.12 (主持)  

[2] 主持国家自然科学基金项目,新型多分量2+1维可积系统的构造和求解(10801083),18万,2009.1-2011.12(子课题)(主持)  

[3] 福建省自然科学基金项目,无色散可积系统的多分量推广、求解及其应用(2009J05010),3万,2009.4-2011.4 (主持)  

[4]福建省自然科学基金项目,一类可积方程的带源推广及可积离散,2017.1-2019.12 (主持)  

发表论文:

[1]Hongxia Wu, Jingxin Liu, Yunbo Zeng, New extension of dispersionless Harry Dym hierarchy, Journal of Nonlinear Mathematical Physics, 23 (2016) 383-398.  

[2]Hongxia Wu, Liangjuan Gao, Jingxin Liu and Yunbo Zeng, Two kinds of Darboux-Backlund transformations for q-deformed KdV hierarchy with self-consistent sources, Advances in Mathematical Physics, 2016 (2016) 8153752.  

[3]Hongxia Wu, Jingxin Liu and Chunxia Li, The extended C type of KP hierarchy: Non-auto Darboux transformations and solutions, Zeitschrift für Naturforschung A, 71 (2016) 933-941.  

[4] Hongxia Wu and Xiaoqin Wu, Bogdanov-Taken singularity for a system of reaction-diffusion equations, Journal of Mathematical Chemistry, 24 (2016)120-136.  

[5]Hongxia Wu, Jingxin Liu and Chunxia Li, Quasideterminant solutions of the extended noncommutative KP hierarchy, Theoretical and Mathematical Physics, 2 016 Accepted  

[6] Hengchun Hu, Wei Yin and Hongxia Wu, Bilinear equations and new multi-soliton solutions for the modified Camassa-Holm equation, Applied mathematics letter, 2016 (Accepted).  

[7]Hongxia Wu and Yunbo Zeng, On a new generalization of dispersionless KP hierarchy and its reductions, Mathematical Methods in the Applied Sciences, 37 (2014) 1171-1178.  

[8] Hongxia Wu and Yunbo Zeng, A new extended dispersionless mKP hierarchy and hodograph solution, Communications in Nonlinear Science and Numerical Simulation, 17 (2012) 2766-2775.  

[9] Hongxia Wu, Xiaojun Liu, Yehui Huang and Yunbo Zeng, Solving soliton equations with self-consistent sources by method of variation of parameters, Applied Mathematics and Computation, 217 (2010)1445-1454.  

[10] Hongxia Wu, Yunbo Zeng and Tianyou Fan, The Boussinesq equation with self-consistent sources, Inverse Problems, 24 (2008) 035012.  

[11] Hongxia Wu, Yunbo Zeng and Tianyou Fan, On the extended KdV equation with self-consistent sources, Physics Letters  A, 370 (2007) 477-484.  

[12] Hongxia Wu, Yunbo Zeng and Tianyou Fan, Positon and negaton solutions of the mKdV equation with self-consistent sources, Journal of  Physics A:Mathematical and Theoretical, 40 (2007) 10505-10517.  

[13] Hongxia Wu, Yunbo Zeng and Tianyou Fan, A new multi-component CKP hierarchy and solutions, Journal of  Mathematical Physics, 49(2008) 093510.  

[14]Hongxia Wu and Tianyou Fan, Negaton and Complexiton solutions of the sine- Gordon equation, Physica A, 379 (2007) 471-482.  

[15] Hongxia Wu, Xiaojun Liu and Yunbo Zeng, Two new multi-componnent BKP hierarchies, Communications in Theoretical Physics, 51(2009) 193-199.  

[16] Hongxia Wu and Tianyou Fan, New explicit solutions of the nonlinear wave equations with damping term, Applied Mathematics and Computation, 191(2007) 457-465.  

[17] Hongxia Wu, Yunbo Zeng and Tianyou Fan, The negative extended KdV equation with self-consistent sources: soliton, positon and negaton, Communications in Nonlinear Science and Numerical Simulation, 13(2008) 2146-2156.  

[18] Hongxia Wu, Yunbo Zeng and Tianyou Fan, Complexitons of the modified KdV equation by Darboux transformation, Applied Mathematics and Computation, 196 (2008) 501-510.  

[19] Hongxia Wu, Yunbo Zeng and Tianyou Fan, Soliton, Positon and Negaton solutions of the extended KdV equation, Communications in Theoretical Physics, 49 (2008) 529-534.  

[20] Hongxia Wu and Tianyou Fan, Nonlinear dispersive ZK(n, n) equations: New compacton solutions and solitary pattern solutions, Applied Mathematics and Computation, 187(2007) 1308-1314.  

[21] Yehui Huang, Hongxia Wu, Xi Xie and Yunbo Zeng, On the coupled KdV equation with self-consistent sources, Communications in Theoretical Physics, 49 (2008) 1091-1100.  

通讯信息:

Hongxia Wu, PhD
School of Science, Jimei University,
Xiamen 361021, P. R. China
E-mail: wuhongxia796@163.comwuhongxia@jmu.edu.cn

 


 

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