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

Ma Zheng-Yi; Zheng Chun-Long

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

机译：（2 + 1）维色散长波方程的两类分形结构

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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.

机译：使用通过Riccati方程的映射方法，得出了一系列对（2 + 1）维色散长波（DLW）方程具有三个任意函数的可变分离激励。除了通常的局部相干孤子激发（如屈光度，环，峰和压实等）之外，通过引入适当的低维局部化模式和雅可比椭圆函数，可以获得具有分形特性的某些新型激发。

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来源
《Chinese physics》 |2006年第1期|共8页
作者
Ma Zheng-Yi; Zheng Chun-Long;
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原文格式 PDF
正文语种 eng
中图分类物理学;
关键词
mapping approach; DLW equation; explicit solution; fractal;

机译：映射方法;DLW方程;显式解;分形;

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专利

1. Two classes of fractal structures for the (2+1)-dimensional dispersive long wave equation [J] . Ma Zheng-Yi, Zheng Chun-Long Chinese physics . 2006,第1期

机译：（2 + 1）维色散长波方程的两类分形结构
2. Two classes of fractal structures for the (2+1) -dimensional dispersive long wave equation [J] . Ma Zheng-Yi, Zheng Chun-Long 中国物理：英文版 . 2006,第001期

机译：（2 + 1）维色散长波方程的两类分形结构
3. Solitons, chaos and fractals in the (2+1)-dimensional dispersive long wave equation [J] . Ma ZY, Hu YH Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2007,第5期

机译：（2 + 1）维色散长波方程中的孤子，混沌和分形
4. Compactor and peakon structures in the (2+1)-dimensional dispersive long wave equation [C] . International Conference on Fluid Mechanics; 20040720-30; Dalian(CN) . 2004

机译：（2 + 1）维色散长波方程中的压实和质子结构
5. New bilinear estimates for quadratic-derivative nonlinear wave equations in 2+1 dimensions [D] . Tanguay, Allison J. 2012

机译：用于2 + 1维度的二次衍生非线性波方程的新Bilinear估计
6. Some New Traveling Wave Exact Solutions of the (2+1)-Dimensional Boiti-Leon-Pempinelli Equations [O] . Jian-ming Qi, Fu Zhang, Wen-jun Yuan, -1

机译：（2 + 1）维Boiti-Leon-Pempinelli方程的一些新的行波精确解
7. A Nonlinear Transformation of the Dispersive Long Wave Equations in (2+1) Dimensions and its Applications [O] . Mingliang Wang, Yubin Zhou, Zhibin Li 1998

机译：（2 + 1）维色散长波方程的非线性变换及其应用
8. Integrable 2+1 Dimensional Equations, Their Recursion Operators and Bi-Hamiltonian Structures as Reduction of Multidimensional Systems [R] . Santini, P. M. 1987

机译：可积2 + 1维方程，它们的递归算子和双哈密顿结构作为多维系统的约简

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

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