个人简介
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
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“InverseProblems”,“JournalofMathematicalPhysics”,“PhysicsLettersA”,“JournalofPhysicsA”,“PhysicsA”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)
近期论文
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[1]HongxiaWu,JingxinLiu,YunboZeng,NewextensionofdispersionlessHarryDymhierarchy,JournalofNonlinearMathematicalPhysics,23(2016)383-398.
[2]HongxiaWu,LiangjuanGao,JingxinLiuandYunboZeng,TwokindsofDarboux-Backlundtransformationsforq-deformedKdVhierarchywithself-consistentsources,AdvancesinMathematicalPhysics,2016(2016)8153752.
[3]HongxiaWu,JingxinLiuandChunxiaLi,TheextendedCtypeofKPhierarchy:Non-autoDarbouxtransformationsandsolutions,ZeitschriftfürNaturforschungA,71(2016)933-941.
[4]HongxiaWuandXiaoqinWu,Bogdanov-Takensingularityforasystemofreaction-diffusionequations,JournalofMathematicalChemistry,24(2016)120-136.
[5]HongxiaWu,JingxinLiuandChunxiaLi,QuasideterminantsolutionsoftheextendednoncommutativeKPhierarchy,TheoreticalandMathematicalPhysics,2016(Accepted)
[6]HengchunHu,WeiYinandHongxiaWu,Bilinearequationsandnewmulti-solitonsolutionsforthemodifiedCamassa-Holmequation,Appliedmathematicsletter,2016(Accepted).
[7]HongxiaWuandYunboZeng,OnanewgeneralizationofdispersionlessKPhierarchyanditsreductions,MathematicalMethodsintheAppliedSciences,37(2014)1171-1178.
[8]HongxiaWuandYunboZeng,AnewextendeddispersionlessmKPhierarchyandhodographsolution,CommunicationsinNonlinearScienceandNumericalSimulation,17(2012)2766-2775.
[9]HongxiaWu,XiaojunLiu,YehuiHuangandYunboZeng,Solvingsolitonequationswithself-consistentsourcesbymethodofvariationofparameters,AppliedMathematicsandComputation,217(2010)1445-1454.
[10]HongxiaWu,YunboZengandTianyouFan,TheBoussinesqequationwithself-consistentsources,InverseProblems,24(2008)035012.
[11]HongxiaWu,YunboZengandTianyouFan,OntheextendedKdVequationwithself-consistentsources,PhysicsLettersA,370(2007)477-484.
[12]HongxiaWu,YunboZengandTianyouFan,PositonandnegatonsolutionsofthemKdVequationwithself-consistentsources,JournalofPhysicsA:MathematicalandTheoretical,40(2007)10505-10517.
[13]HongxiaWu,YunboZengandTianyouFan,Anewmulti-componentCKPhierarchyandsolutions,JournalofMathematicalPhysics,49(2008)093510.
[14]HongxiaWuandTianyouFan,NegatonandComplexitonsolutionsofthesine-Gordonequation,PhysicaA,379(2007)471-482.
[15]HongxiaWu,XiaojunLiuandYunboZeng,Twonewmulti-componnentBKPhierarchies,CommunicationsinTheoreticalPhysics,51(2009)193-199.
[16]HongxiaWuandTianyouFan,Newexplicitsolutionsofthenonlinearwaveequationswithdampingterm,AppliedMathematicsandComputation,191(2007)457-465.
[17]HongxiaWu,YunboZengandTianyouFan,ThenegativeextendedKdVequationwithself-consistentsources:soliton,positonandnegaton,CommunicationsinNonlinearScienceandNumericalSimulation,13(2008)2146-2156.
[18]HongxiaWu,YunboZengandTianyouFan,ComplexitonsofthemodifiedKdVequationbyDarbouxtransformation,AppliedMathematicsandComputation,196(2008)501-510.
[19]HongxiaWu,YunboZengandTianyouFan,Soliton,PositonandNegatonsolutionsoftheextendedKdVequation,CommunicationsinTheoreticalPhysics,49(2008)529-534.
[20]HongxiaWuandTianyouFan,NonlineardispersiveZK(n,n)equations:Newcompactonsolutionsandsolitarypatternsolutions,AppliedMathematicsandComputation,187(2007)1308-1314.
[21]YehuiHuang,HongxiaWu,XiXieandYunboZeng,OnthecoupledKdVequationwithself-consistentsources,CommunicationsinTheoreticalPhysics,49(2008)1091-1100.