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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
Source PublicationMATHEMATICAL METHODS IN THE APPLIED SCIENCES
KeywordNonclassical Symmetry Reductions Kadomtsev-petviashvili Equation Boussinesq Equation Painleve Property Water-waves Kp Equation Example
AbstractIn 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.
1995
ISSN0170-4214
Volume18Issue:10Pages:789-802
Subject AreaPhysics
Indexed BySCI
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/11718
Collection理论物理所科研产出_SCI论文
Corresponding AuthorLOU, SY , NINGBO NORMAL COLL,INST MODERN PHYS,NINGBO 315211,PEOPLES R CHINA.
Recommended Citation
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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