Analytical Solutions for Some Nonlinear Evolution Equations

HU Jian-lan; ZHANG Han-lin

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HU Jian-lan, ZHANG Han-lin. Analytical Solutions for Some Nonlinear Evolution Equations[J]. Applied Mathematics and Mechanics, 2003, 24(5): 545-550.

Citation:

HU Jian-lan, ZHANG Han-lin. Analytical Solutions for Some Nonlinear Evolution Equations[J]. Applied Mathematics and Mechanics, 2003, 24(5): 545-550.

Citation:

HU Jian-lan, ZHANG Han-lin. Analytical Solutions for Some Nonlinear Evolution Equations[J]. Applied Mathematics and Mechanics, 2003, 24(5): 545-550.

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Analytical Solutions for Some Nonlinear Evolution Equations

Institute of Applied Science, Beijing Polytechnic University, Beijing, 100022, P.R.China

Received Date: 2001-11-01
Rev Recd Date: 2002-11-05
Publish Date: 2003-05-15

Abstract

Abstract

The following partial differential equations are studied:generalized fifth-order KdV equation,water wave equation,kupershmidt equation,couples KdV equation.The analytical solutions to these problems via using various ansatzes by introducing a second-order ordinary differential equation are found out.
- nonlinear physical model,
- ansatz method,
- analytical solution

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References(16)

References

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