Study on Exact Analystical Solutions for Two Systems of Nonlinear Evolution Equations

YAN Zhen-ya; ZHANG Hong-qing

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YAN Zhen-ya, ZHANG Hong-qing. Study on Exact Analystical Solutions for Two Systems of Nonlinear Evolution Equations[J]. Applied Mathematics and Mechanics, 2001, 22(8): 825-833.

Citation:

YAN Zhen-ya, ZHANG Hong-qing. Study on Exact Analystical Solutions for Two Systems of Nonlinear Evolution Equations[J]. Applied Mathematics and Mechanics, 2001, 22(8): 825-833.

Citation:

YAN Zhen-ya, ZHANG Hong-qing. Study on Exact Analystical Solutions for Two Systems of Nonlinear Evolution Equations[J]. Applied Mathematics and Mechanics, 2001, 22(8): 825-833.

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Study on Exact Analystical Solutions for Two Systems of Nonlinear Evolution Equations

Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P R China

Received Date: 2000-04-07
Rev Recd Date: 2001-03-13
Publish Date: 2001-08-15

Abstract

Abstract

The homogeneous balance method was improved and applied to two systems of nonlinear evolution equations.As a result,several families of exact analytic solutions are derived by some new ansatzs.These solutions contain Wang's and Zhang's results and other new types of analytical solutions,such as rational fraction solutions and periodic solutions.The way can also be applied to solve more nonlinear partial differential equations.
- nonlinear evolution equations,
- improved homogeneous balance method,
- exact analytical solution,
- solitary wave solution,
- rational solution

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References(13)

References

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