Model Equations and Their Solitary Wave Solutions in Cylindrical Coordinate System |
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Authors: | HUANG Guo-xiang LOU Sen-yue DAI Xian-xi |
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Affiliation: | 1. Department of Physics, Fudan University, Shanghai 200433, China;2. Department of Physics, Ningbo Normal College, Ningbo 315211, China |
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Abstract: | The method of multiple-scales is used to investigate the evolution of a weak nonlinear internal waves between two-layer fluids in cylindrical coordinate system. Two reduced model wave equations, which we call a modified cylindrical KdV equation for axially symmetric case and a modified cylindrical KP equation for non-axially symmetric case, are derived and their solitary wave solutions are also obtained by relating them i to the modified KdV equation by means of an appropriate variable transformation. |
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