A New Rational Algebraic Approach to Find Exact Analytical Solutions to a （2＋1）-Dimensional System

In this paper, we present a new rational algebraic approach to uniformly construct a series of exact analytical solutions for nonlinear partial differential equations. Compared with most existing tanh methods and other sophisticated methods, the proposed method not only recovers some known solutions...

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Published inCommunications in theoretical physics Vol. 48; no. 5; pp. 801 - 810
Main Author BAI Cheng-Jie ZHAO Hong
Format Journal Article
LanguageEnglish
Published 2007
Subjects
分析几何
有理数
长波问题
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Abstract In this paper, we present a new rational algebraic approach to uniformly construct a series of exact analytical solutions for nonlinear partial differential equations. Compared with most existing tanh methods and other sophisticated methods, the proposed method not only recovers some known solutions, but also finds some new and general solutions. The solutions obtained in this paper include rational form triangular periodic wave solutions, solitary wave solutions, and elliptic doubly periodic wave solutions. The efficiency of the method can be demonstrated on （2＋1）-dimensional dispersive long-wave equation.
AbstractList In this paper, we present a new rational algebraic approach to uniformly construct a series of exact analytical solutions for nonlinear partial differential equations. Compared with most existing tanh methods and other sophisticated methods, the proposed method not only recovers some known solutions, but also finds some new and general solutions. The solutions obtained in this paper include rational form triangular periodic wave solutions, solitary wave solutions, and elliptic doubly periodic wave solutions. The efficiency of the method can be demonstrated on （2＋1）-dimensional dispersive long-wave equation.
Author BAI Cheng-Jie ZHAO Hong
AuthorAffiliation Communication School, Shandong Normal University, Jinan 250014, China School of Physical Science and Information Engineering, Liaocheng University, Liaocheng 252059, China
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Snippet In this paper, we present a new rational algebraic approach to uniformly construct a series of exact analytical solutions for nonlinear partial differential...
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StartPage 801
SubjectTerms 分析几何
有理数
长波问题
Title A New Rational Algebraic Approach to Find Exact Analytical Solutions to a （2＋1）-Dimensional System
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