Two classes of fractal structures for the (2+1) -dimensional dispersive long wave equation

Two classes of fractal structures for the (2+1) -dimensional dispersive long wave equation

Ma Zheng-Yi;Zheng Chun-Long

【期刊名称】《中国物理：英文版》 【年(卷),期】2006(015)001

【摘要】Using the mapping approach via a Riccati equation, a series of variable separation excitations with three arbitrary functions for the (2+1)-dimensional dispersive long wave (DLW) equation are derived. In addition to the usual localized coherent soliton excitations like dromions, rings, peakons and compactions, etc, some new types of excitations that possess fractal behaviour are obtained by introducing appropriate lower-dimensional localized patterns and Jacobian elliptic functions.

【总页数】8页(45-52)

【关键词】mapping approach;DLW equation;explicit solution;fractal 【作者】Ma Zheng-Yi;Zheng Chun-Long

【作者单位】College of Science,Zhejiang Lishui University,Lishui 323000,China;Shanghai

Institute

of

Applied

Mathematics

and

Mechanics,Shanghai University,Shanghai 200072,China 【正文语种】中文 【中图分类】O4 【相关文献】