Whitham modulation theory for generalized Whitham equations and a general criterion for modulational instability-Reference-Cited by-同舟云学术

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Whitham modulation theory for generalized Whitham equations and a general criterion for modulational instability

Published:2021-05-25 Issue: Volume: Page:
ISSN:0022-2526
Container-title:Studies in Applied Mathematics
language:en
Short-container-title:Studies in Applied Mathematics

Author:

Binswanger Adam L.¹,Hoefer Mark A.²^ORCID,Ilan Boaz¹,Sprenger Patrick²³

Affiliation:

1. School of Natural Sciences University of California Merced Merced California USA

2. Department of Applied Mathematics University of Colorado Boulder Boulder Colorado USA

3. Department of Mathematics North Carolina State University Raleigh North Carolina USA

Funder

National Science Foundation

Publisher

Wiley

Subject

Applied Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1111/sapm.12398

Reference63 articles.

1. Nonlinear Dispersive Waves

2. Variational methods and applications to water waves

3. The Whitham equation for hydroelastic waves

4. The Whitham Equation as a model for surface water waves

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Whitham Modulation Theory and Two-Phase Instabilities for Generalized Nonlinear Schrödinger Equations with Full Dispersion;SIAM Journal on Applied Mathematics;2024-07-01

2. The superharmonic instability and wave breaking in Whitham equations;Physics of Fluids;2023-10-01

3. The Weierstrass and Jacobi elliptic solutions along with multiwave, homoclinic breather, kink-periodic-cross rational and other solitary wave solutions to Fornberg Whitham equation;Chaos, Solitons & Fractals;2022-10

4. Rigorous justification of the Whitham modulation equations for equations of Whitham type;Studies in Applied Mathematics;2022-05-26

5. Evolution of initial discontinuities in the Riemann problem for the Jaulent–Miodek equation with positive dispersion;Applied Mathematics and Computation;2022-04

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