Constructing exact solutions to difference-differential equations via the projective riccati equation approach

Wuyou Jiang; Zhen Wang; Hongqing Zhang

Constructing exact solutions to difference-differential equations via the projective riccati equation approach

Wuyou Jiang^*
, Zhen Wang
, Hongqing Zhang

^*此作品的通讯作者

Dalian University of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

An algebraic algorithm is devised to derive exact traveling wave solutions of differential-difference equations by means of the projective Riccati equation approach. For illustration, we apply this method to solve relativistic Toda lattice system. Some explicit and exact traveling wave solutions including periodic solutions, solitary wave solutions are constructed.

源语言	英语
页（从-至）	237-244
页数	8
期刊	International Journal of Pure and Applied Mathematics
卷	69
期	3
出版状态	已出版 - 2011
已对外发布	是

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abstract = "An algebraic algorithm is devised to derive exact traveling wave solutions of differential-difference equations by means of the projective Riccati equation approach. For illustration, we apply this method to solve relativistic Toda lattice system. Some explicit and exact traveling wave solutions including periodic solutions, solitary wave solutions are constructed.",

keywords = "Difference-differential equation, Exact solution, Relativistic Toda lattice system, Soliton solution",

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AU - Zhang, Hongqing

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AB - An algebraic algorithm is devised to derive exact traveling wave solutions of differential-difference equations by means of the projective Riccati equation approach. For illustration, we apply this method to solve relativistic Toda lattice system. Some explicit and exact traveling wave solutions including periodic solutions, solitary wave solutions are constructed.

KW - Difference-differential equation

KW - Exact solution

KW - Relativistic Toda lattice system

KW - Soliton solution

UR - https://www.scopus.com/pages/publications/79956266238

M3 - 文章

AN - SCOPUS:79956266238

SN - 1311-8080

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EP - 244

JO - International Journal of Pure and Applied Mathematics

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Constructing exact solutions to difference-differential equations via the projective riccati equation approach

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