SIMILARITY SOLUTIONS OF DISPERSIVE LONG-WAVE EQUATIONS IN 2 SPACE DIMENSIONS
文献类型:期刊论文
作者 | LOU, SY; LOU, SY , NINGBO NORMAL COLL,INST MODERN PHYS,NINGBO 315211,PEOPLES R CHINA. |
刊名 | MATHEMATICAL METHODS IN THE APPLIED SCIENCES
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出版日期 | 1995 |
卷号 | 18期号:10页码:789-802 |
关键词 | Nonclassical Symmetry Reductions Kadomtsev-petviashvili Equation Boussinesq Equation Painleve Property Water-waves Kp Equation Example |
ISSN号 | 0170-4214 |
英文摘要 | In this paper, both the direct method and the non-classical Lie approach are applied to reduce the (2 + 1)-dimensional dispersive long wave equations. Nine types of two-dimensional PDE reductions and 13 types of ODE reductions are given. All the known reductions obtained by the classical Lie approach are reobtained as some special cases. Similar to the (1 + 1)-dimensional case, some types of reductions with essential and logarithmic singular characteristic manifolds are allowed although the model is integrable. |
学科主题 | Physics |
URL标识 | 查看原文 |
公开日期 | 2012-08-28 |
源URL | [http://ir.itp.ac.cn/handle/311006/11718] ![]() |
专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
通讯作者 | LOU, SY , NINGBO NORMAL COLL,INST MODERN PHYS,NINGBO 315211,PEOPLES R CHINA. |
推荐引用方式 GB/T 7714 | LOU, SY,LOU, SY , NINGBO NORMAL COLL,INST MODERN PHYS,NINGBO 315211,PEOPLES R CHINA.. SIMILARITY SOLUTIONS OF DISPERSIVE LONG-WAVE EQUATIONS IN 2 SPACE DIMENSIONS[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,1995,18(10):789-802. |
APA | LOU, SY,&LOU, SY , NINGBO NORMAL COLL,INST MODERN PHYS,NINGBO 315211,PEOPLES R CHINA..(1995).SIMILARITY SOLUTIONS OF DISPERSIVE LONG-WAVE EQUATIONS IN 2 SPACE DIMENSIONS.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,18(10),789-802. |
MLA | LOU, SY,et al."SIMILARITY SOLUTIONS OF DISPERSIVE LONG-WAVE EQUATIONS IN 2 SPACE DIMENSIONS".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 18.10(1995):789-802. |
入库方式: OAI收割
来源:理论物理研究所
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