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物理学报. 1998, 47(12): 1946-1951.
doi: 10.7498/aps.47.1946.
一类五阶非线性演化方程的新孤波解
- 收稿日期: 1998-03-27
- 修回日期: 1998-05-26
- 刊出日期: 1998-06-05
摘要: 利用齐次平衡法给出了一类较广泛的五阶非线性演化方程的孤波解，数学物理中著名的Kaup-Kupershmidt方程、Caudrey-Dodd-Gibbon-Sawada-Kotera方程和五阶Korteweg-de-Vries方程等都可作为该方程的特殊情形而得到相应的孤波解.
English Abstract
NEW SOLITARY WAVE SOLUTIONS FOR A CLASS OF FIFTH-ORDER NOLINEAR EVOLUTION EQUATIONS
- Received Date:
27 March 1998
- Accepted Date:
26 May 1998
- Published Online:
05 June 1998
Abstract: The exact explicit solitary wave solutions for a class of fifth-order nonliear evolution equations are obtained by using a homogeneous method. Particular important cases of the equation, such as Kaup-Kupershmidt, Caudrey-Dodd-Gibbon-Sawada-Kotera and fifth-order KdV equations can be solved by this method.
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