Remarks on chaotic and fractal patterns based on variable separation solutions of (2+1)-dimensional general KdV equation

被引：3

作者：

Dai, Chao-Qing ^{[1
]}

Wang, Yue-Yue ^{[1
]}

机构：

[1] Zhejiang Agr & Forestry Univ, Sch Sci, Linan 311300, Zhejiang, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2016年 / 56卷

关键词：

General Korteweg-de Vries equation; Same results from different; tanh-function methods; Chaotic and fractal patterns; Divergent structure; DE-VRIES SYSTEM; NONLINEAR SCHRODINGER-EQUATION; DROMION-LIKE STRUCTURES; COEFFICIENT; EXCITATIONS; MODELS;

D O I：

10.1016/j.aml.2015.11.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain eleven types of variable separation solutions for the (2 + 1)-dimensional general KdV equation by means of the extended tanh-function method, modified tanh-function method and improved tanh-function method with radical sign combine form ansatz. However, solutions obtained by different methods are essentially same. Moreover, when we construct chaotic and fractal patterns for a special component based on variable separation solution, we must consider solution expression of the other component in order to avoid many divergent and un-physical structures. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：10 / 16

页数：7

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