Exact solutions of nonlinear mathematical physics equations with improved trial function method

Abstract

Abstract: Exact solution for Jimbo-Miwa equation and nonlinear transmission line equation are obtained by means of the trial function method. These solutions include hyperbolic function solutions, trigonometric function solutions. When the arbitrary parameters in hyperbolic function solutions are taken as some special values, the solitary wave solutions can be obtained.When the arbitrary parameters in trigonometric function solutions are taken as some special values, the trigonometric function solutions can be expressed as periodic wave solutions. Experience has proved that trial function method has a very wide range of application in the study of nonlinear mathematical physics equations.

Key words: exact soltions

CLC Number:

O175.2

References

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