### Abstract

By using the method of operators of multiple scales, two coupled nonlinear equations are derived, which govern the slow amplitude modulation of surface gravity waves in two space dimensions. The equations of Davey and Stewartson, which also govern the two-dimensional modulation of the amplitude of gravity waves, are derived as a special case of our equations. For a fully dispersed wave, symmetric about a point which moves with the group velocity, the coupled equations reduce to a nonlinear Schrödinger equation with extra terms representing the effect of the curvature of the wavefront.

Original language | English |
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Pages (from-to) | 1028-1032 |

Number of pages | 5 |

Journal | Journal of the Physical Society of Japan |

Volume | 44 |

Issue number | 3 |

Publication status | Published - Mar 1978 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of the Physical Society of Japan*,

*44*(3), 1028-1032.

**On multi-dimensional packets of surface waves.** / Prasad, Phoolan; Krishnan, E. V.

Research output: Contribution to journal › Article

*Journal of the Physical Society of Japan*, vol. 44, no. 3, pp. 1028-1032.

}

TY - JOUR

T1 - On multi-dimensional packets of surface waves

AU - Prasad, Phoolan

AU - Krishnan, E. V.

PY - 1978/3

Y1 - 1978/3

N2 - By using the method of operators of multiple scales, two coupled nonlinear equations are derived, which govern the slow amplitude modulation of surface gravity waves in two space dimensions. The equations of Davey and Stewartson, which also govern the two-dimensional modulation of the amplitude of gravity waves, are derived as a special case of our equations. For a fully dispersed wave, symmetric about a point which moves with the group velocity, the coupled equations reduce to a nonlinear Schrödinger equation with extra terms representing the effect of the curvature of the wavefront.

AB - By using the method of operators of multiple scales, two coupled nonlinear equations are derived, which govern the slow amplitude modulation of surface gravity waves in two space dimensions. The equations of Davey and Stewartson, which also govern the two-dimensional modulation of the amplitude of gravity waves, are derived as a special case of our equations. For a fully dispersed wave, symmetric about a point which moves with the group velocity, the coupled equations reduce to a nonlinear Schrödinger equation with extra terms representing the effect of the curvature of the wavefront.

UR - http://www.scopus.com/inward/record.url?scp=0017946198&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0017946198&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0017946198

VL - 44

SP - 1028

EP - 1032

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 3

ER -