Soliton–mean field interaction in Korteweg–de Vries dispersive hydrodynamics

DOI10.1111/sapm.12615zbMath1528.35144arXiv2211.14884MaRDI QIDQ6071050

Gennady A. El, Justin T. Cole, M. A. Hoefer, Mark J. Ablowitz, Xu-Dan Luo

Publication date: 27 November 2023

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.14884

zbMATH Keywords

inverse scattering transformKorteweg-de Vries equationinteractionsoliton solutionrarefaction wavedispersive shock waveWhitham multiphase theory

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Shock waves and blast waves in fluid mechanics (76L05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Perturbations in context of PDEs (35B20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Soliton solutions (35C08) Integro-partial differential equations (35R09)

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