AAA
Abstract and Applied Analysis
1687-0409
1085-3375
Hindawi Publishing Corporation
585716
10.1155/2013/585716
585716
Editorial
Advances in Nonlinear Complexity Analysis for Partial Differential Equations
Dai
Zhengde
1
Chang
Qianshun S.
2
Xu
Lan
3
Mohyud-Din
Syed Tauseef
4
Tari
Hafez
5
Zhu
Peicheng
6
1
School of Mathematics and Statistics
Yunnan University
Kunming 650091
China
ynu.edu.cn
2
Institute of Applied Mathematics and System Sciences
Academy of Sciences of China
Beijing 100080
China
cas.cn
3
National Engineering Laboratory for Modern Silk
Soochow University
Suzhou 215123
China
suda.edu.cn
4
Department of Mathematics
HITEC University
Taxila Cantt
Pakistan
hitecuni.edu.pk
5
Department of Mechanical Engineering
Ohio State University
Columbus
OH 43210
USA
osu.edu
6
Department of Mathematics
University of the Basque Country (UPV/EHU) and IKERBASQUE
Basque Foundation for Science
48011 Bilbao
Spain
ehu.es
2013
17
9
2013
2013
19
08
2013
19
08
2013
2013
Copyright © 2013 Zhengde Dai et al.
This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Nonlinear Partial Differential Equations (NPDE) including integrable, nearintegrable, and nonintegrable systems arise from a number of physical, chemical, biological, and life sciences. The complexity analysis of solutions for NPDE is a very important subject in nonlinear science all the time. In recent years, this research field has taken many new advances. The purpose of this special issue is to highlight some recent researches carried out on the asymptotical behavior analysis of solution with initial boundary value problem, spatiotemporal feature analysis, variety analysis of dynamics, stochastic behavior analysis, numerical simulation and analysis, and so forth.
We have received 81 submissions to the special issue which were rigorously reviewed by up to 8 reviewers as well as by at least one of the guest editors; all the manuscripts had 2 reviewers. As a result, 27 manuscripts are accepted. In these articles, the most new results in the research field of nonlinear complexity of solutions are obtained. We hope that this special issue can lead to both theoretical insight and practical applications in nonlinear complexity analysis for NPDE.
Acknowledgments
We would like to thank the authors of all the contributions, the reviewers for their useful and timely comments on the papers submitted to this issue.
Zhengde Dai
Qianshun S. Chang
Lan Xu
Syed Tauseef Mohyud-Din
Hafez Tari
Peicheng Zhu