期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 251, 期 -, 页码 108-117出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2014.11.041
关键词
Solitary traveling wave solution; Periodic traveling wave solution; Smoothness of wave; (2+1)-Dimensional generalized asymmetric; Nizhnik-Novikov-Veselov equation
资金
- National Natural Science Foundation of China [11271299]
- Natural Science Foundation Research Project of Shaanxi Province [2012JM1014]
By using the bifurcation theory of planar dynamical systems to the (2 + 1)-dimensional generalized asymmetric Nizhnik-Novikov-Veselov equation, the existence for solitary wave solutions and uncountably infinite many smooth and non-smooth periodic wave solutions is obtained. Under different regions of parametric spaces, various sufficient conditions to guarantee the existence of these solutions mentioned are given. Furthermore, some exact explicit parametric expressions of these bounded traveling waves are obtained. (C) 2014 Elsevier Inc. All rights reserved.
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