Integrable Shallow‐Water Equations and Undular Bores

By Gennady El, Roger Grimshaw, M. V. Pavlov. 2001

70 citations recorded by the source corpus.

Subfields: Computational Mechanics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/0c472be64ee95295ae736cfcbde024fa196c24fe

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Mark A. Hoefer
2. Gennady El

In Control and Systems Engineering

1. Mark A. Hoefer
2. Gennady El

Citations in the corpus

• Unsteady undular bores in fully nonlinear shallow-water theory (2005, unknown): “The wavenumber is readily found from (7), (8) as”
• Dispersive shock waves and modulation theory (2016, methodology): “Subsequently, Riemann invariants were found for other modulation systems associated with integrable equations such as the nonlinear Schrödinger equation [81, 82], the Kaup-Boussinesq system [83] and others.”
• Classification and bifurcation of a class of second-order ODEs and its application to nonlinear PDEs (2017, background): “which has been studied numerically in [4].”