Elliptic solutions to a generalized BBM equation

被引：36

作者：

Nickel, J. ^{[1
]}

机构：

[1] Univ Osnabruck, Dept Phys, D-49069 Osnabruck, Germany

来源：

PHYSICS LETTERS A | 2007年 / 364卷 / 3-4期

关键词：

BBM equation; elliptic solutions; solitons; Weierstrass' function;

D O I：

10.1016/j.physleta.2006.11.088

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An approach is proposed to obtain some exact explicit solutions in terms of the Weierstrass' elliptic function p to a generalized Benjamin-Bona-Mahony (BBM) equation. Conditions for periodic and solitary wave like solutions can be expressed compactly in terms of the invariants of p. The approach unifies recently established ad hoc methods to a certain extent. Evaluation of a balancing principle simplifies the application of this approach. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：221 / 226

页数：6

共 19 条

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[2]

[Anonymous], 1990, COURSE MORDERN ANAL

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