Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630172 | Applied Mathematics and Computation | 2011 | 10 Pages |
Abstract
Special exact solutions of the K(2, 2) equation, ut + (u2)x + (u2)xxx = 0, are investigated by employing the qualitative theory of differential equations. Our procedure shows that the K(2, 2) equation either has loop soliton, cusped soliton and smooth soliton solutions when sitting on the non-zero constant pedestal limx→±∞u = A ≠ 0, or possesses compacton solutions only when limx→±∞u = 0. Mathematical analysis and numerical simulations are provided for these soliton solutions of the K(2, 2) equation.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Lina Zhang, Aiyong Chen, Jiade Tang,