(G'/G)-expansion method and novel fractal structures for high-dimensional nonlinear physical equation | Zendy

BangQing Li | Zendy; YuLan Ma | Zendy; XU Mei-ping | Zendy

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(G'/G)-expansion method and novel fractal structures for high-dimensional nonlinear physical equation

Author(s) -

BangQing Li,

YuLan Ma,

XU Mei-ping

Publication year - 2010

Publication title -

acta physica sinica

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.

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