Discontinuous shock solutions of the Whitham modulation equations as zero dispersion limits of traveling waves

DOI10.1088/1361-6544/ab834dzbMath1440.35212arXiv1907.09329OpenAlexW3101103555MaRDI QIDQ5113318

Patrick Sprenger, M. A. Hoefer

Publication date: 4 June 2020

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.09329

zbMATH Keywords

Whitham averagingdispersive shock waveszero dispersion limit

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) KdV equations (Korteweg-de Vries equations) (35Q53) Hyperbolic conservation laws (35L65) Traveling wave solutions (35C07)

Related Items

Rankine-Hugoniot conditions for fluids whose energy depends on space and time derivatives of density, Dispersive hydrodynamics of soliton condensates for the Korteweg-de Vries equation, Traveling wave solutions of the Kawahara equation joining distinct periodic waves, Progressive flexural–gravity waves with constant vorticity, Stationary shock-like transition fronts in dispersive systems, Genuine nonlinearity and its connection to the modified Korteweg–de Vries equation in phase dynamics, Singular solutions of the BBM equation: analytical and numerical study

Uses Software

• Matlab

Cites Work

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