Adjustment processes and radiating solitary waves in a regularised Ostrovsky equation

DOI10.1016/S0997-7546(99)80048-XzbMath0929.76025MaRDI QIDQ1806534

R. H. J. Grimshaw

Publication date: 29 November 1999

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

zbMATH Keywords

effect of rotationemission of trailing radiation

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51)

Related Items (10)

Dispersive and diffusive limits for Ostrovsky-Hunter type equations ⋮ Beyond the KdV: Post-explosion development ⋮ Scattering of an Ostrovsky wave packet in a delaminated waveguide ⋮ Application of (\(\frac{G'}{G}\))-expansion method to travelling wave solutions of three nonlinear evolution equation ⋮ Internal solitons in laboratory experiments: Comparison with theoretical models ⋮ Nonlinear Longitudinal Bulk Strain Waves in Layered Elastic Waveguides ⋮ Multi-compacton and double symmetric peakon for generalized Ostrovsky equation ⋮ Macropterons, micropterons and similarity reductions for the regularized Ostrovsky-Grimshaw model for fluids and plasmas with symbolic computation ⋮ The global attractor of the viscous damped forced Ostrovsky equation ⋮ On stationary solutions of the reduced Ostrovsky equation: periodic waves, compactons and compound solitons

Cites Work

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• On the existence of stationary solitary waves in a rotating fluid
• On the Derivation of the Modified Kadomtsev-Petviashvili Equation
• Initial Time Layers and Kadomtsev–Petviashvili‐Type Equations
• Terminal Damping of a Solitary Wave Due to Radiation in Rotational Systems

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