Solitary Wave and Periodic Wave Solutions and Chaotic Behaviors in a (2+1)-Dimensional Nonlinear System

Xiao Xin Zhu; Song Hua Ma; Qing Bao Ren

doi:10.4028/www.scientific.net/AMM.532.346

Paper Titles

Numerical Simulation of the Influence of Curvature Radius on Aerodynamic Characteristics of the Moving Vehicle
p.328

Numerical Simulation Study on the Thickness of Cylinder Influencing on Energy-Absorbing Characteristics
p.332

Simulation of Dynamic Crack Propagation under Quasistatic Loading
p.337

Simulation Study on High-Powered Shaped Charge Warhead Penetrating into Target with Water Layer
p.342

Solitary Wave and Periodic Wave Solutions and Chaotic Behaviors in a (2+1)-Dimensional Nonlinear System
p.346

Study on Tube Formation Mechanism and Lateral Stiffness Testing Method of the Tubular Conveyor Belt
p.351

Study of the Solitoff Solution and Fractal Solution for the (2+1)-Dimensional Broek-Kaup System with Variable Coefficients
p.356

The Research of Lean Combustion Characteristic of Compound Injection System of Direct Injection Engine
p.362

Tracking Property Analysis of a Dry Gas Seal Operating in Low Pressure Condition
p.367

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 532Solitary Wave and Periodic Wave Solutions and...

Solitary Wave and Periodic Wave Solutions and Chaotic Behaviors in a (2+1)-Dimensional Nonlinear System

Abstract:

With the help of the symbolic computation system Maple and an improved mapping method and a variable separation method, a series of new exact solutions (including solitary wave solutions and periodic wave solutions) to the (2+1)-dimensional general Nizhnik-Novikov-Veselov (GNNV) system is derived. Based on the derived solitary wave solution, we obtain some chaotic patterns.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volume 532)

Pages:

346-350

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.532.346

Citation:

Cite this paper

Online since:

February 2014

Authors:

Xiao Xin Zhu, Song Hua Ma, Qing Bao Ren

Keywords:

Chaotic Patterns, Exact Solutions, General Nizhnik-Novikov-Veselov System, Improved Mapping Method

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] J. F. Zhang and C. L. Zheng, Abundant localized coherent structures of the (2+1)-dimensions generalized Nozhnik-Novikov-Veselov systen, Chinese Journal of Physics, (2003) 41( 3): 242-254.

Google Scholar

[2] C. L. Zheng, L. Q. Chen, New localized excitations in a (2+1)-dimensional generalized Nozhnik Novikov-Veselov system, Chinese Journal of Physics, (2005)43(3): 393-399.

Google Scholar

[3] S. H. Ma, J. Y. Qiang and J. P. Fang, The Interaction between Solitons and Chaotic Behaviours of (2+1)-Dimensional Boiti-Leon-Pempinelli System, Acta Physics Sinica, (2007)56(2): 620-626.

DOI: 10.7498/aps.56.620

Google Scholar

[4] S. H. Ma, J. P. Fang and H. P. Zhu, Dromion Soliton Waves and the Their Evolution in the Background of Jacobi Sine Waves, Acta Physics Sinica, (2007)56(8): 4319-4325.

DOI: 10.7498/aps.56.4319

Google Scholar

[5] S. H. Ma, X. H. Wu, J. P. Fang and C. L. Zheng, Chaotic Solitons for the (2+1)- Dimensional Modified Dispersive Water-Wave System, Z. Naturforsch A(2007)61(1): 249-252.

DOI: 10.1515/zna-2006-5-606

Google Scholar

[6] S. H. Ma, J. P. Fang and C. L. Zheng, Folded Locailzed Excitations and Chaotic Patterns in a (2+1)-Dimensional Soliton System, Z. Naturforsch A(2008)62(1): 121-126.

DOI: 10.1515/zna-2008-3-401

Google Scholar

[7] L. C. Lv, S. H. Ma and J. P. Fang, Multi-soliton excitations and chaotic patterns for the (2+1)-dimensional breaking soliton system, Z. Naturforsch A(2010)65(6): 477-482.

DOI: 10.1515/zna-2010-6-701

Google Scholar