The tanh method .2. Perturbation technique for conservative systems

被引：282

作者：

Malfliet, W ^{[1
]}

Hereman, W ^{[1
]}

机构：

[1] COLORADO SCH MINES,DEPT MATH & COMP SCI,GOLDEN,CO 80401

来源：

PHYSICA SCRIPTA | 1996年 / 54卷 / 06期

关键词：

D O I：

10.1088/0031-8949/54/6/004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

With the aid of the tanh method, nonlinear wave equations are solved in a perturbative way. First, the KdVBurgers equation is investigated in the limit of weak dispersion. As a result, a general shock wave profile, with a perturbative solitary-wave contribution superposed, emerges. For a particular choice of the parameters, a comparison with the exact solution is made. Further, the MKdVBurgers is investigated in the same limit and similar results are obtained.

引用

页码：569 / 575

页数：7

共 11 条

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