Two Types of New Algorithms for Finding Explicit Analytical Solutions of Nonlinear Differential Equations

ZHANG Hong-qing; YAN Zhen-ya

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ZHANG Hong-qing, YAN Zhen-ya. Two Types of New Algorithms for Finding Explicit Analytical Solutions of Nonlinear Differential Equations[J]. Applied Mathematics and Mechanics, 2000, 21(12): 1285-1292.

Citation:

ZHANG Hong-qing, YAN Zhen-ya. Two Types of New Algorithms for Finding Explicit Analytical Solutions of Nonlinear Differential Equations[J]. Applied Mathematics and Mechanics, 2000, 21(12): 1285-1292.

Citation:

ZHANG Hong-qing, YAN Zhen-ya. Two Types of New Algorithms for Finding Explicit Analytical Solutions of Nonlinear Differential Equations[J]. Applied Mathematics and Mechanics, 2000, 21(12): 1285-1292.

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Two Types of New Algorithms for Finding Explicit Analytical Solutions of Nonlinear Differential Equations

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

Received Date: 2000-01-14
Rev Recd Date: 2000-08-21
Publish Date: 2000-12-15

Abstract

Abstract

The idea of AC=BD was applied to solve the nonlinear differential equations.Suppose that Au=0 is a given equation to be solved and Dv=0 is an equation to be easily solved.If the transformation u=Cv is obtained so that v satisfies Dv=0,then the solutions for Au=0 can be found.In order to illustrate this approach,several examples about the transformation C are given.
- nonlinear differential equations,
- transformation,
- algorithm,
- analytical solution

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References(19)

References

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