期刊
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
卷 65, 期 12, 页码 1065-1070出版社
WALTER DE GRUYTER GMBH
DOI: 10.1515/zna-2010-1208
关键词
Nonlinear Evolution Equations; Generalized (G '/G)-Expansion Method; Hyperbolic Solution; Trigonometric Solution; Rational Solution; Burgers Equation; KdV Equation
In this article, a generalized (G'/G)-expansion method is used to find exact travelling wave solutions of the Burgers equation and the Korteweg-de Vries (KdV) equation with variable coefficients. As a result, hyperbolic, trigonometric, and rational function solutions with parameters are obtained. When these parameters are taking special values, the solitary wave solutions are derived from the hyperbolic function solution. It is shown that the proposed method is direct, effective, and can be applied to many other nonlinear evolution equations in mathematical physics.
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