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SIMILARITY SOLUTIONS OF DISPERSIVE LONG-WAVE EQUATIONS IN 2 SPACE DIMENSIONS
LOU, SY; LOU, SY , NINGBO NORMAL COLL,INST MODERN PHYS,NINGBO 315211,PEOPLES R CHINA.
1995
发表期刊MATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN0170-4214
卷号18期号:10页码:789-802
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.
部门归属CHINA CTR ADV SCI & TECHNOL,WORLD LAB,BEIJING 100080,PEOPLES R CHINA; ACAD SINICA,INST THEORET PHYS,BEIJING 100080,PEOPLES R CHINA
关键词Nonclassical Symmetry Reductions Kadomtsev-petviashvili Equation Boussinesq Equation Painleve Property Water-waves Kp Equation Example
学科领域Physics
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收录类别SCI
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/11718
专题理论物理所1978-2010年知识产出
通讯作者LOU, SY , NINGBO NORMAL COLL,INST MODERN PHYS,NINGBO 315211,PEOPLES R CHINA.
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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.
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