Rogue Wave with a Controllable Center of Nonlinear Schrödinger Equation |
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Authors: | WANG Xiao-Chun HE Jing-Song LI Yi-Shen |
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Affiliation: | 1.Department of Mathematics, Ningbo University, Ningbo 315211, China;2.Department of Mathematics, USTC, Hefei 230026, China |
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Abstract: | The rogue waves with a controllable center are reported for the nonlinear Schrödinger equation in terms of rational-like functions by using a direct method. The position of these solutions can be controlled by choosing different center parameters and this may describe the possible formation mechanisms for optical, oceanic, and matter rogue wave phenomenon in optical fibres, the deep ocean, Bose-Einstein condensates respectively. |
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Keywords: | rogue wave nonlinear Schrödinger equation rational-like solutions |
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