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Discrete exact solutions of modified Volterra and Volterra lattice equations via the new discrete sine-Gordon expansion algorithm
Yan, ZY
2006-04-15
Source PublicationNONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN0362-546X
Volume64Issue:8Pages:1798-1811
AbstractRecently, we have presented a sine-Gordon expansion method to construct new exact solutions of a wide of continuous nonlinear evolution equations. In this paper we further develop the method to be the discrete sine-Gordon expansion method in nonlinear differential-difference equations, in particular, discrete soliton equations. We choose the modified Volterra lattice and Volterra lattice equation to illustrate the new method such as many types of new exact solutions are obtained. Moreover some figures display the profiles of the obtained solutions. Our method can be also applied to other discrete soliton equations. (c) 2005 Published by Elsevier Ltd.
Keyworddiscrete soliton equations discrete sine-Gordon expansion method solitary wave solution symbolic computation
DOI10.1016/j.na.2005.07.018
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000236045500010
PublisherPERGAMON-ELSEVIER SCIENCE LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/3270
Collection系统科学研究所
Corresponding AuthorYan, ZY
AffiliationChinese Acad Sci, AMSS, Key Lab Math Mechanizat, Inst Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Yan, ZY. Discrete exact solutions of modified Volterra and Volterra lattice equations via the new discrete sine-Gordon expansion algorithm[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2006,64(8):1798-1811.
APA Yan, ZY.(2006).Discrete exact solutions of modified Volterra and Volterra lattice equations via the new discrete sine-Gordon expansion algorithm.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,64(8),1798-1811.
MLA Yan, ZY."Discrete exact solutions of modified Volterra and Volterra lattice equations via the new discrete sine-Gordon expansion algorithm".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 64.8(2006):1798-1811.
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