Derivation of the nonlinear Schrödinger equation for shoaling wave- groups

DOI10.1007/BF00944713zbMath0525.76011OpenAlexW1993760534MaRDI QIDQ593912

Ralph M. Parsons, Michael Stiassnie

Publication date: 1983

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00944713

zbMATH Keywords

uneven bottomwave packetscubic nonlinear Schrödinger equationinitial and boundary conditionsevolution of water wave-groupsmodulated wave train

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (2)

Derivation of the third-order evolution equations for weakly nonlinear water waves propagating over uneven bottoms ⋮ Shoaling of nonlinear wave-groups on water of slowly varying depth

Cites Work

• Unnamed Item
• On the development of packets of surface gravity waves moving over an uneven bottom
• Slowly varying solitary waves. II. Nonlinear Schrödinger equation
• Shoaling of finite-amplitude surface waves on water of slowly-varying depth
• Long-time evolution of an unstable water-wave train
• On three-dimensional packets of surface waves

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