Name
Title | ||
|---|---|---|
N-soliton solutions and elastic interaction of the coupled lattice soliton equations for nonlinear waves |
Abstract | ||
|---|---|---|
With the aid of symbolic computation, a coupled set of the lattice soliton equations is investigated via Darboux transformation (DT) method. The N-fold DT and conservation laws are constructed based on its Lax representation. The N-soliton solutions in terms of the Vandermonde-like determinants are derived. Structures of the one-, two-, three- and four-soliton solutions are shown graphically. Elastic interactions among the four solitons are discussed: solitonic shapes and amplitudes have not changed after the interaction. Results in this paper might be helpful for understanding the propagation of nonlinear waves. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.amc.2012.04.080 | Applied Mathematics and Computation |
Keywords | DocType | Volume |
conservation laws,n-soliton solutions,n-fold darboux transformation,coupled lattice soliton equation,elastic interaction,symbolic computation | Journal | 219 |
Issue | ISSN | Citations |
1 | 0096-3003 | 2 |
PageRank | References | Authors |
0.48 | 3 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xiao-Yong Wen | 1 | 15 | 5.17 |
| Yi-Tian Gao | 2 | 42 | 14.96 |