Editorial Exact and Approximate Solutions for Nonlinear PDEs Baojian Hong, 1 Dianchen Lu, 2 Chaudry Masood Khalique, 3 Alvaro H. Salas, 4 and Robert A. Van Gorder 5 1 Department of Basic Courses, Nanjing Institute of Technology, Nanjing 211167, China 2 Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China 3 Department of Mathematical Sciences, International Institute for Symmetry Analysis and Mathematical Modelling, North-West University, Maikeng Campus, Private Bag X 2046, Mmabatho 2735, South Africa 4 Department of Mathematics, University of Caldas, Manizales 275, Colombia 5 Department of Mathematics, University of Central Florida, Orlando, FL 32816-1364, USA Correspondence should be addressed to Baojian Hong; hbj@njit.edu.cn Received 24 April 2014; Accepted 24 April 2014; Published 7 May 2014 Copyright © 2014 Baojian Hong et al. his 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. In the last few decades, due to the wide applications of non- linear partial diferential equations (NPDEs) in nonlinear science [1], the process of looking for exact or approximate solutions of the NPDEs has played an important and sig- niicant role in research of mathematicians, physicists, and engineers [2]. Solutions of NPDEs are useful in the study of the dynamics of nonlinear phenomena such as nonlinear waves in hydrodynamics [3], atmospheric dynamics [4], plasma physics [5], solid state physics [6], and optical ibers [7], and thus they may give more insight into the physical aspects of such problems. Up to now, many powerful methods for obtaining exact or approximate solutions of NPDEs have been presented, such as homotopy perturbation method [8], nonperturbative methods [9], homogeneous balance method [10], Darboux transformation method [11], extended tanh- function method [12], generalized Jacobi elliptic functions expansion method [13], improved general mapping deforma- tion method [14], general algebraic methods [15], and many other methods [16–18]. he purpose of this special issue is to extend several relatively new approaches and theories on searching for the exact and approximate solutions of NPDEs and to see the latest developments in applications of these methods. he response to this special issue was beyond our expectation. We received thirty-nine submissions in total, and, based on valuable review reports, sixteen original high-quality peer- reviewed research articles have been accepted for inclusion within this special issue. hese papers contain a variety of topics and approaches, including the variational itera- tion method, the spectral homotopy analysis method, the homotopy perturbation method, the irst integral method, the generalized tanh-function expansion method, the Lie symmetry approach, the auxiliary equation method, and the regular perturbation method, along with several interesting applications. hese articles contain some new, novel, and innovative techniques and ideas that may stimulate further research on both the theory and the application of NPDEs. It is certainly impossible to provide in this short editorial a more comprehensive description of all articles published in this special issue. However, the team of the guest editors believes that the results included relect some recent trends in research and outline new ideas for future studies of exact and approximate solutions for NPDEs and applications thereof. Acknowledgments We would like to express our sincere gratitude to the authors who have submitted papers for consideration in the special issue. We also thank the reviewers of these papers, whose comments were important for us when making the editorial decisions, for their thorough and timely reviews. Many thanks are also given to the editorial board members of this journal, in recognition of their great support and help in making this special issue possible. We hope that this Hindawi Publishing Corporation Abstract and Applied Analysis Volume 2014, Article ID 815240, 2 pages http://dx.doi.org/10.1155/2014/815240