| A Series of Soliton-like and Double-like Periodic Solutions of a （2＋1）-Dimensional Asymmetric Nizhnik-Novikov-Vesselov Equation |
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| 引用本文： | CHENYong WANGQi LIBiao. A Series of Soliton-like and Double-like Periodic Solutions of a （2＋1）-Dimensional Asymmetric Nizhnik-Novikov-Vesselov Equation[J]. 理论物理通讯, 2004, 42(5): 655-660 |
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| 作者姓名： | CHENYong WANGQi LIBiao |
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| 作者单位： | [1]DepartmentofMathematics,NingboUniversity,Ningbo315211,China [2]DepartmentofAppliedMathematics,DalianUniversityofTechnology,Dalian116024,China |
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| 摘 要： | We generalize the algebraic method presented by Fan [J.Phys. A: Math. Gen. 36 (2003) 7009)] to uniformly construct a series of soliton-like solutions and double-like periodic solutions for nonlinear partial differential equations (NPDE). As an application of the method, we choose a (2 1)-dimensional asymmetric Nizhnik Novikov Vesselov equation and successfully construct new and more general solutions including a series of nontraveling wave and coefficient functions‘soliton-like solutions, double-like periodic and trigonometric-like function solutions.
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| 关 键 词： | 符号运算 孤波解 椭圆方程 周期解 代数法 |
| 收稿时间： | 2004-02-10 |
A Series of Soliton-like and Double-like Periodic Solutions of a (2+1)-DimensionalAsymmetric Nizhnik-Novikov-Vesselov Equation |
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| CHEN Yong,WANG Qi,LI Biao. A Series of Soliton-like and Double-like Periodic Solutions of a (2+1)-DimensionalAsymmetric Nizhnik-Novikov-Vesselov Equation[J]. Communications in Theoretical Physics, 2004, 42(5): 655-660 |
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| Authors: | CHEN Yong WANG Qi LI Biao |
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| Affiliation: | 1. Department of Mathematics, Ningbo University, Ningbo 315211, China;2. Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China;3. Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China;4. Key Laboratory of Mathematics Mechanization, the Chinese Academy of Sciences, Beijing 100080, China |
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| Abstract: | We generalize the algebraic method presented byFan [J. Phys. A: Math. Gen. 36 (2003) 7009)] to uniformlyconstruct a series of soliton-like solutions and double-likeperiodic solutions for nonlinear partial differentialequations (NPDE). As an application of the method, we choose a(2+1)-dimensional asymmetric Nizhnik-Novikov-Vesselov equation andsuccessfully construct new and more general solutions including aseries of nontraveling wave and coefficient functions'soliton-like solutions, double-like periodic andtrigonometric-like function solutions. |
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| Keywords: | symbolic computation soliton-like solution Weierstrass and Jacobi elliptic functions periodic solution |
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