The DOI matches its Crossref record.
Linear and Nonlinear Waves
Abstract
G B Whitham Chichester: J Wiley 1974 pp xvi + 636 price £12.15 Professor Whitham's book can be highly recommended as a comprehensive account of the mathematics of wave motion written with great knowledge and enthusiasm. It grew out of a course given to postgraduate mathematicians and physicists and contains material that one would expect in such a text; a discussion of characteristics and the formation of shocks; application to water waves and gas dynamics; group velocity, dispersion and wave patterns; the classical nonlinear results.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cited by
Pattern formation outside of equilibrium
Cross, M. C., & Hohenberg, P. C. (1993) · Reviews of Modern Physics · doi:10.1103/revmodphys.65.851 · Cited by 7,859
A NEW VIEW OF NONLINEAR WATER WAVES: The Hilbert Spectrum
Huang, N. E., Shen, Z., & Long, S. R. (1999) · Annual Review of Fluid Mechanics · doi:10.1146/annurev.fluid.31.1.417 · Cited by 2,098
Computation of component image velocity from local phase information
Fleet, D. J., & Jepson, A. D. (1990) · International Journal of Computer Vision · doi:10.1007/bf00056772 · Cited by 1,085
The Euler–Poincaré Equations and Semidirect Products with Applications to Continuum Theories
Holm, D. D., Marsden, J. E., & Ratiu, T. S. (1998) · Advances in Mathematics · doi:10.1006/aima.1998.1721 · Cited by 964
A third‐generation wave model for coastal regions: 2. Verification
Ris, R. C., Holthuijsen, L. H., & Booij, N. (1999) · Journal of Geophysical Research: Oceans · doi:10.1029/1998jc900123 · Cited by 895
Metadata
- Authors
- Whiteman, K. J.
- Venue
- Physics Bulletin
- Publisher
- IOP Publishing
- Published
- 1975-11
- Volume
- 26
- Issue
- 11
- Pages
- 498-498
- ISSN
- 0031-9112 (ISSN-L)
- OpenAlex
- W305332711
- Cited by
- 7,064
- References
- 0
- FWCI
- 70.13
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Linear and Nonlinear Waves. https://app.cochat.ai/papers/10.1088/0031-9112/26/11/028
- The paper
- Whiteman, K. J. (1975). Linear and Nonlinear Waves. Physics Bulletin. https://doi.org/10.1088/0031-9112/26/11/028
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.