New localized excitations and cross-like fractal structures to the (2+1)-dimensional Broer-Kaup system

被引：5

作者：

Li, Zitian ^{[1
]}

机构：

[1] Qujing Normal Univ, Coll Math & Informat Sci, Qujing 655011, Yunnan, Peoples R China

来源：

PRAMANA-JOURNAL OF PHYSICS | 2014年 / 83卷 / 03期

关键词：

Broer-Kaup equations; improved mapping method; variable separation approach; fractal structures; TRAVELING-WAVE SOLUTIONS; SOLITON-SOLUTIONS; RESONANCE;

D O I：

10.1007/s12043-014-0784-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A broad general variable separation solution with two arbitrary lower-dimensional functions of the (2+1)-dimensional Broer-Kaup (BK) equations was derived by means of a projective equation method and a variable separation hypothesis. Based on the derived variable separation excitation, some new special types of localized solutions such as oscillating solitons, instanton-like and cross-like fractal structures are revealed by selecting appropriate functions of the general variable separation solution.

引用

页码：293 / 300

页数：8

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