Open Access(G'/G)-expansion method and novel fractal structures for high-dimensional nonlinear physical equation
Author(s) -
BangQing Li,
YuLan Ma,
Min Xu
Publication year - 2010
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.59.1409
Subject(s) - fractal , nonlinear system , series (stratigraphy) , fractal derivative , mathematical analysis , class (philosophy) , variable (mathematics) , statistical physics , fractal analysis , physics , fractal dimension , mathematics , computer science , quantum mechanics , paleontology , artificial intelligence , biology
The G′/G-expansion method is extended to construct non-traveling wave solutions and explore the fractal structure for high dimensional nonlinear physical equation. As an example, a series of non-traveling solutions is obtained for the 2+1-dimensional dispersive long wave system with variable coefficient. Furthermore, by setting properly the arbitrary functions in the solutions, a class of novel fractal structures, namely, the cross-like fractal structures are firstly observed.