Skip to content
Register Sign in Wishlist

Nonlinear Dispersive Waves
Asymptotic Analysis and Solitons

£91.99

Part of Cambridge Texts in Applied Mathematics

  • Date Published: September 2011
  • availability: Available
  • format: Hardback
  • isbn: 9781107012547

£ 91.99
Hardback

Add to cart Add to wishlist

Other available formats:
Paperback, eBook


Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • The field of nonlinear dispersive waves has developed enormously since the work of Stokes, Boussinesq and Korteweg–de Vries (KdV) in the nineteenth century. In the 1960s, researchers developed effective asymptotic methods for deriving nonlinear wave equations, such as the KdV equation, governing a broad class of physical phenomena that admit special solutions including those commonly known as solitons. This book describes the underlying approximation techniques and methods for finding solutions to these and other equations. The concepts and methods covered include wave dispersion, asymptotic analysis, perturbation theory, the method of multiple scales, deep and shallow water waves, nonlinear optics including fiber optic communications, mode-locked lasers and dispersion-managed wave phenomena. Most chapters feature exercise sets, making the book suitable for advanced courses or for self-directed learning. Graduate students and researchers will find this an excellent entry to a thriving area at the intersection of applied mathematics, engineering and physical science.

    • Covers a wide variety of methods
    • Ideal for graduate courses in nonlinear waves
    • Classroom tested by the author
    Read more

    Reviews & endorsements

    '[This] is an up-to-date teaching resource that will prepare students for work in nonlinear waves as the subject appears today in applications, especially in nonlinear optics. It is clear that Mark Ablowitz's book is a welcome addition to the literature that will be particularly useful to anyone planning a course on nonlinear waves.' Peter D. Miller, SIAM News

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: September 2011
    • format: Hardback
    • isbn: 9781107012547
    • length: 362 pages
    • dimensions: 234 x 157 x 22 mm
    • weight: 0.65kg
    • contains: 65 b/w illus. 85 exercises
    • availability: Available
  • Table of Contents

    Preface
    Acknowledgements
    Part I. Fundamentals and Basic Applications:
    1. Introduction
    2. Linear and nonlinear wave equations
    3. Asymptotic analysis of wave equations
    4. Perturbation analysis
    5. Water waves and KdV type equations
    6. Nonlinear Schrödinger models and water waves
    7. Nonlinear Schrödinger models in nonlinear optics
    Part II. Integrability and Solitons:
    8. Solitons and integrable equations
    9. Inverse scattering transform for the KdV equation
    Part III. Novel Applications of Nonlinear Waves:
    10. Communications
    11. Mode-locked lasers
    12. Nonlinear photonic lattices
    References
    Index.

  • Resources for

    Nonlinear Dispersive Waves

    Mark J. Ablowitz

    General Resources

    Find resources associated with this title

    Type Name Unlocked * Format Size

    Showing of

    Back to top

    *This title has one or more locked files and access is given only to lecturers adopting the textbook for their class. We need to enforce this strictly so that solutions are not made available to students. To gain access to locked resources you either need first to sign in or register for an account.


    These resources are provided free of charge by Cambridge University Press with permission of the author of the corresponding work, but are subject to copyright. You are permitted to view, print and download these resources for your own personal use only, provided any copyright lines on the resources are not removed or altered in any way. Any other use, including but not limited to distribution of the resources in modified form, or via electronic or other media, is strictly prohibited unless you have permission from the author of the corresponding work and provided you give appropriate acknowledgement of the source.

    If you are having problems accessing these resources please email lecturers@cambridge.org

  • Instructors have used or reviewed this title for the following courses

    • Integrable Evolution Equations
    • Methods of Applied Mathematics
  • Author

    Mark J. Ablowitz, University of Colorado, Boulder
    Mark J. Ablowitz is Professor of Applied Mathematics at the University of Colorado, Boulder.

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×