Theory of quasi-simple dispersive shock waves and number of solitons evolved from a nonlinear pulse

DOI10.1063/5.0028587zbMath1455.35147arXiv2008.09786OpenAlexW3080539403WikidataQ104678204 ScholiaQ104678204MaRDI QIDQ3388191

A. M. Kamchatnov

Publication date: 11 January 2021

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.09786

zbMATH Keywords

asymptotic formula for the number of solitonswave breaking of simple waves

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Soliton solutions (35C08)

Cites Work

• Shock waves in dispersive Eulerian fluids
• Asymptotic description of solitary wave trains in fully nonlinear shallow-water theory
• Asymptotic stability of solitary waves
• Dispersive dam-break and lock-exchange flows in a two-layer fluid
• Method for Solving the Korteweg-deVries Equation
• Resolution of a shock in hyperbolic systems modified by weak dispersion
• Stability and instability of solitary waves of Korteweg-de Vries type
• Algebro-geometric construction of self-similar solutions of the Whitham equations
• Dispersive shock waves governed by the Whitham equation and their stability
• Korteweg-de Vries Equation and Generalizations. III. Derivation of the Korteweg-de Vries Equation and Burgers Equation
• Solitary wave fission of a large disturbance in a viscous fluid conduit
• Interaction of linear modulated waves and unsteady dispersive hydrodynamic states with application to shallow water waves
• Non-linear dispersive waves
• Oblique Spatial Dispersive Shock Waves in Nonlinear Schrödinger Flows
• Dispersive shock waves in viscously deformable media
• Unsteady undular bores in fully nonlinear shallow-water theory
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