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CYLINDRICAL ENVELOPE SOLITARY WAVES |
HUANG Guoxiang1;LOU senyue2; DAI xianxi1 |
1Department of Physics, Fudan University, Shanghai 200433
2Department of Physics, Ningbo Normal College, Ningbo 315211
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Cite this article: |
HUANG Guoxiang, LOU senyue, DAI xianxi 1990 Chin. Phys. Lett. 7 398-401 |
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Abstract The method of multiple-scales is used to investigate the nonlinear modulation of capillary-gravity waves with cylindrical symmetry. We find that the evolution of wave-packets is described by a nonlinear schrödinger-like equation i(U + U/2r) + αUξξ + β|U|2U = 0. Some exact and explicit cylindrical envelope solitary wave solutions are also obtained by means of variable transformations.
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Keywords:
43.25.+y
47.35.+i
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Published: 01 September 1990
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