| Title | Exact coherent structures in the (2+1)-dimensional KdV equations |
| Authors | Guo, Hao Fu, Zuntao Liu, Shikuo |
| Affiliation | Beihang Univ, Inst Fluid Mech, Beijing 100191, Peoples R China. Peking Univ, Sch Phys, Dept Atmospher & Ocean Sci, Beijing 100871, Peoples R China. Peking Univ, Sch Phys, Lab Climate & Ocean Atmosphere Studies, Beijing 100871, Peoples R China. Peking Univ, Sch Phys, Beijing 100871, Peoples R China. |
| Keywords | (2+1)-Dimensional KdV equations Singular manifold method Coherent structure ELLIPTIC FUNCTION EXPANSION NONLINEAR-WAVE EQUATIONS BREATHER LATTICE SOLUTIONS DAVEY-STEWARTSON EQUATION DIFFERENTIAL-EQUATIONS PERIODIC-SOLUTIONS |
| Issue Date | 2013 |
| Publisher | applied mathematical modelling |
| Citation | APPLIED MATHEMATICAL MODELLING.2013,37,(5),3102-3111. |
| Abstract | Different from the (1 + 1)-dimensional nonlinear systems, (2 + 1) or higher dimensional nonlinear systems admit more rich coherent structures. Taking (2 + 1)-dimensional Korteweg de Vries (KdV for short) equations as an example, the singular manifold method is applied to search these coherent structures in an analytical form. With the aid of symbolic computation and plot representation of Maple, some coherent structures expressed in terms of new forms, such as dromions and solitoffs, have been illustrated by means of arbitrary functions in the analytical forms. In the paper, we will show these results by changing some specific choices for three different special cases for singular variable in details. (C) 2012 Elsevier Inc. All rights reserved. |
| URI | http://hdl.handle.net/20.500.11897/226387 |
| ISSN | 0307-904X |
| DOI | 10.1016/j.apm.2012.07.038 |
| Indexed | SCI(E) EI |
| Appears in Collections: | 物理学院 |
