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应用(1/G)-展开法求解五阶KdV方程(英文) 被引量:1
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作者 李灵晓 李二强 王明亮 《应用数学》 CSCD 北大核心 2011年第4期699-704,共6页
本篇论文首次提出(1/G)-展开法,用于求解非线性演化方程的行波解.将该法应用于五阶KdV方程的求解,当参数满足一定条件时,该方程可化为Sawada-Kotera(SK)方程、Caudrey-Dodd-Gibbon(CDG)方程、Kaup-Kupershmidt(KK)方程、Lax方程和Ito方... 本篇论文首次提出(1/G)-展开法,用于求解非线性演化方程的行波解.将该法应用于五阶KdV方程的求解,当参数满足一定条件时,该方程可化为Sawada-Kotera(SK)方程、Caudrey-Dodd-Gibbon(CDG)方程、Kaup-Kupershmidt(KK)方程、Lax方程和Ito方程.其解可被表示为含两个任意参数的双曲函数解和三角函数解,作为示例,文中仅给出了SK方程和Ito方程的行波解.(1/G)-展开法具有直接、简捷与基本的特点,可以适用于数学物理中其它非线性演化方程的求解. 展开更多
关键词 (1/G)-展开法 行波解 五阶KDV方程 齐次平衡
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高阶复系数Swift-Hohenberg方程的精确行波解 被引量:4
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作者 施业琼 《广西工学院学报》 CAS 2012年第3期15-19,共5页
非线性方程的求解一直是数学及物理学科中的一类重要问题,尤其是关于非线性方程精确解的研究,研究利用(G′/G)-展开法寻找高阶非线性复系数Swift-Hohenberg方程的精确解,通过(G′/G)-展开法取得了高阶非线性复系数Swift-Hohenberg方程... 非线性方程的求解一直是数学及物理学科中的一类重要问题,尤其是关于非线性方程精确解的研究,研究利用(G′/G)-展开法寻找高阶非线性复系数Swift-Hohenberg方程的精确解,通过(G′/G)-展开法取得了高阶非线性复系数Swift-Hohenberg方程的更具一般形式的精确解. 展开更多
关键词 (1+1)维高阶复Swift-Hohenberg方程 (G′ G)-展开法 精确解
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一类时间-空间分数阶Klein-Gordon方程的孤立波解
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作者 陆求赐 王学彬 +1 位作者 张宋传 徐瑞标 《延边大学学报(自然科学版)》 CAS 2023年第1期30-35,共6页
利用1/G展开法对一类时间-空间分数阶Klein-Gordon方程进行了求解,并得到了丰富的行波解.所得解主要为该方程的孤立波解和扭曲波解.选取部分解进行相图分析显示,所得解均是有效的.该研究结果扩展了分数阶Klein-Gordon方程的应用范围.
关键词 时间-空间分数阶Klein-Gordon方程 1/G展开法 行波变换 保形分数阶导数 孤立波解
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瘙痒介质在AEW诱发的小鼠干皮症模型中的表达 被引量:1
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作者 金锦花 李科岩 +1 位作者 王玉慧 薛富善 《昆明医科大学学报》 CAS 2020年第6期5-10,共6页
目的采用丙酮-乙醚-水(acetone-ether-water, AEW)贯序涂抹法建立小鼠干皮症慢性瘙痒模型,检测皮肤和背根神经节(DRG)中MrgprA3和TRPA1 m RNA的表达,初步探讨MrgprA3和TRPA1在AEW诱发的干皮症慢性瘙痒模型中的作用。方法 9周龄C57BL/6雄... 目的采用丙酮-乙醚-水(acetone-ether-water, AEW)贯序涂抹法建立小鼠干皮症慢性瘙痒模型,检测皮肤和背根神经节(DRG)中MrgprA3和TRPA1 m RNA的表达,初步探讨MrgprA3和TRPA1在AEW诱发的干皮症慢性瘙痒模型中的作用。方法 9周龄C57BL/6雄鼠12只,随机平均分为模型组和对照组,模型组颈背部皮肤涂抹丙酮/乙醚(1:1)和水,连续7 d制造小鼠干皮症慢性瘙痒模型;对照组小鼠涂抹蒸馏水,时间频率与模型组相同。观察小鼠搔抓行为学,皮肤组织学(HE染色)、肥大细胞浸润情况(甲苯胺蓝染色),RT-qPCR分析MrgprA3和TRPA1在颈段背根神经节(DRG)和病损皮肤中m RNA表达水平变化。结果与对照组相比,模型组小鼠的抓挠次数显著多于对照组(P<0.01);模型组小鼠病损部位皮肤水分明显减少,皮肤干燥、脱屑,病理提示表皮增厚明显,真皮层肥大细胞浸润不明显;颈部病损皮肤和颈部脊神经节中MrgprA3和TRPA1m RNA表达均高于对照组(P<0.01)。结论利用丙酮-乙醚和水贯序涂抹法成功建立小鼠干皮症慢性瘙痒模型,MrgprA3和TRPA1参与了AEW慢性瘙痒模型的产生和传导。 展开更多
关键词 干皮症 丙酮-乙醚和水贯序涂抹法 慢性瘙痒 瞬时受体电位通道蛋白A1 MAS相关的G蛋白偶联受体A3
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分数阶及整数阶Klein-Gordon方程的孤立波解研究 被引量:1
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作者 陆求赐 张宋传 +1 位作者 王学彬 徐瑞标 《数学的实践与认识》 2023年第3期263-270,共8页
Klein-Gordon方程是量子力学领域的一类重要方程,它是薛定谔方程的一种相对论形式,包括分数阶和整数阶方程,寻求它的解有着重要的意义.利用一种较为实用的1/G展开法,对一类分数阶Klein-Gordon方程和相应的整数阶Klein-Gordon方程进行了... Klein-Gordon方程是量子力学领域的一类重要方程,它是薛定谔方程的一种相对论形式,包括分数阶和整数阶方程,寻求它的解有着重要的意义.利用一种较为实用的1/G展开法,对一类分数阶Klein-Gordon方程和相应的整数阶Klein-Gordon方程进行了求解,得到了丰富的行波解,包括孤立波解和扭曲波解,同时有代表性地选择一些解,来画出它们的图形并进行相图分析.另外,对所得到的整数阶与分数阶方程的解进行了对比,发现了它们的异同点. 展开更多
关键词 分数阶Klein-Gordon方程 整数阶Klein-Gordon方程 1/G展开法 行波变换 孤立波解 扭结波解
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Appraisal of the Production-Oriented Approach: An Introduction 被引量:4
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作者 濮实 《Chinese Journal of Applied Linguistics》 SCIE 2017年第4期452-453,共2页
The production-oriented approach (POA) has been developed over a decade. It is driven by the need to improve English classroom instruction for university students in China (Wen, 2016). It is also motivated by the ... The production-oriented approach (POA) has been developed over a decade. It is driven by the need to improve English classroom instruction for university students in China (Wen, 2016). It is also motivated by the aspiration to enhance the quality of foreign language education in other similar pedagogical contexts outside China. A volume of research has been done by Wen Qiufang and her research team, to formulate the theory of POA and to test its effectiveness in classroom pedagogy (e.g. Wen, 2016, 2015; Yang, 2015; Zhang, 2015). At the moment, the POA is still at an early stage of theory building and almost all empirical research is done in the Chinese context. In order to improve the quality of this theory and to make it intelligible to the international academic community, a one-day symposium was held in Beijing Foreign Studies University on May 15, 2017. The symposium was entitled 'The first international forum on innovative foreign language education in China: Appraisal of the POA'. In the forum, leading experts in applied linguistics were invited to discuss the strengths and weaknesses of the POA and the directions for its future development. The symposium was the first attempt for the POA research team to discuss its latest work with international scholars. This Viewpoint section collects the responses of four experts who participated in the symposium, listed in alphabetical order. The collection of articles covers three topics related to the POA: its pedagogical application, its use for teacher training, and its research. Alister Cumming is Professor Emeritus and the former Head of the Centre for Educational Research on Languages and Literacies, University of Toronto, Canada. His article focuses primarily on POA research as an exemplary case of design-based research. Rod Ellis is Research Professor in the School of Education at Curtin University, Australia. He discusses POA in terms of pedagogy, teacher training and research, with both critiques and constructive suggestions. Paul Kei Matsuda is Professor of English and Director of Second Language Writing at Arizona State University, the writed states. He responds to POA from the perspective of an expert researcher and teacher of L2 writing. Charlene Polio is Professor and Associate Chair in the Department of Linguistics & Germanic, Slavic, Asian & African Languages atMichigan State University, the writed states. She conceptualises POA as a useful method to address some issues in pre-service teacher development. Overall, the articles in this section are insightful and reader-friendly. They are not only useful for the development of POA in particular, but may also be valuable to a broad range of researchers as they touch upon pertaining issues, as well as emerging topics, in the field of applied linguistics. We therefore find it necessary to make them accessible to a wide readership. 展开更多
关键词 The production-oriented approach (POA) has been developed over a decade. It is driven by the need to improve English classroom instruction for university students in China (Wen 2016). It is also motivated by the aspiration to enhance the quality of foreign language education in other similar pedagogical contexts outside China. A volume of research has been done by Wen Qiufang and her research team to formulate the theory of POA and to test its effectiveness in classroom pedagogy (e.g. Wen 2016 2015 Yang 2015 Zhang 2015). At the moment the POA is still at an early stage of theory building and almost all empirical research is done in the Chinese context. In order to improve the quality of this theory and to make it intelligible to the international academic community a one-day symposium was held in Beijing Foreign Studies University on May 15 2017. The symposium was entitled 'The first international forum on innovative foreign language education in China: Appraisal of the POA'. In the forum leading experts in applied linguistics were invited to discuss the strengths and weaknesses of the POA and the directions for its future development. The symposium was the first attempt for the POA research team to discuss its latest work with international scholars. This Viewpoint section collects the responses of four experts who participated in the symposium listed in alphabetical order. The collection of articles covers three topics related to the POA: its pedagogical application its use for teacher training and its research. Alister Cumming is Professor Emeritus and the former Head of the Centre for Educational Research on Languages and Literacies University of Toronto Canada. His article focuses primarily on POA research as an exemplary case of design-based research. Rod Ellis is Research Professor in the School of Education at Curtin University Australia. He discusses POA in terms of pedagogy teacher training and research with both critiques and constructive suggestions. Paul Kei Matsuda is Professor of English and Director of Second Language Writing at Arizona State University the writed states. He responds to POA from the perspective of an expert researcher and teacher of L2 writing. Charlene Polio is Professor and Associate Chair in the Department of Linguistics Germanic Slavic Asian African Languages atMichigan State University the writed states. She conceptualises POA as a useful method to address some issues in pre-service teacher development. Overall the articles in this section are insightful and reader-friendly. They are not only useful for the development of POA in particular but may also be valuable to a broad range of researchers as they touch upon pertaining issues as well as emerging topics in the field of applied linguistics. We therefore find it necessary to make them accessible to a wide readership.
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