Nonlinear disintegration of sine wave in the framework of the Gardner equation

DOI10.1016/J.PHYSD.2015.12.007zbMath1415.35245OpenAlexW2204380119MaRDI QIDQ2000245

Andrey Kurkin, Ekaterina Rouvinskaya, Tatiana Talipova, Oksana Kurkina, Efim Pelinovsky

Publication date: 28 June 2019

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2015.12.007

zbMATH Keywords

undular boresoliton interactiontable-top soliton

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (2)

Soliton spectra of random water waves in shallow basins ⋮ Dispersive hydrodynamics: Preface

Cites Work

• Two-soliton interaction as an elementary act of soliton turbulence in integrable systems
• Long-time behaviour of soliton ensembles. I: Emergence of ensembles.
• Solitary wave transformation in a medium with sign-variable quadratic nonlinearity and cubic nonlinearity
• On the long-time behaviour of soliton ensembles
• Analytic model for a weakly dissipative shallow-water undular bore
• Resolution of a shock in hyperbolic systems modified by weak dispersion
• Beyond the KdV: Post-explosion development
• Generation of solitons and breathers in the extended Korteweg–de Vries equation with positive cubic nonlinearity
• Propagation of very long water waves, with vorticity, over variable depth, with applications to tsunamis
• Generation of large-amplitude solitons in the extended Korteweg–de Vries equation
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