| 摘要 | The analytical nonautonomous rogons are reported for the inhomogeneous nonlinear Schrodinger equation with variable coefficients in terms of rational-like functions by using the similarity transformation and direct ansatz. These obtained solutions can be used to describe the possible formation mechanisms for optical, oceanic, and matter rogue wave phenomenon in optical fibres, the deep ocean, and Bose-Einstein condensates, respectively. Moreover, the snake propagation traces and the fascinating interactions of two nonautonomous rogons are generated for the chosen different parameters. The obtained nonautonomous rogons may excite the possibility of relative experiments and potential applications for the rogue wave phenomenon in the field of nonlinear science. (C) 2009 Elsevier B.V. All rights reserved. |
| 部门归属 | [yan, zhenya] chinese acad sci, inst syst sci, key lab math mechanizat, amss, beijing 100190, peoples r china. [yan, zhenya] univ lisbon, ctr fis teor & computac, p-1649003 lisbon, portugal. [yan, zhenya] chinese acad sci, int ctr mat phys, shenyang 110016, peoples r china.;yan, zy (reprint author), chinese acad sci, inst syst sci, key lab math mechanizat, amss, beijing 100190, peoples r china;zyyan@mmrc.iss.ac.cn
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