On the solitary wave solutions of the CQNLS
| Autor: | Kaitai Li, Cuncai Hua |
|---|---|
| Rok vydání: | 2005 |
| Předmět: |
General Mathematics
Applied Mathematics Mathematical analysis General Physics and Astronomy Statistical and Nonlinear Physics Dynamical system Schrödinger equation symbols.namesake Classical mechanics Critical parameter symbols Nonlinear Sciences::Pattern Formation and Solitons Bifurcation Mathematics |
| Zdroj: | Chaos, Solitons & Fractals. 25:1169-1175 |
| ISSN: | 0960-0779 |
| Popis: | In this paper, coexistence and simplified formulations of the solitary waves of the cubic–quintic non-linear Schrodinger equation (CQNLS) are investigated by analyzing the steady bifurcation and the energy integral of the conservative dynamical system satisfied by the wave packet. It is found that the bright solitary waves can coexist with kinks and anti-kinks in a range of the bifurcation control parameter. There exists a critical parameter value at which the dark solitary waves are distinguished from the bright solitary waves, kinks and anti-kinks. All of the simplified solitary wave solutions, kinks and anti-kinks are obtained by using our previously developed approximate method. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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