Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

New types of soliton solutions


Authors: F. Gesztesy, W. Karwowski and Z. Zhao
Journal: Bull. Amer. Math. Soc. 27 (1992), 266-272
MSC (2000): Primary 35Q51; Secondary 35Q53
MathSciNet review: 1152159
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We announce a detailed investigation of limits of N-soliton solutions of the Korteweg-deVries (KdV) equation as N tends to infinity. Our main results provide new classes of KdV-solutions including in particular new types of soliton-like (reflectionless) solutions. As a byproduct we solve an inverse spectral problem for one-dimensional Schrödinger operators and explicitly construct smooth and real-valued potentials that yield a purely absolutely continuous spectrum on the nonnegative real axis and give rise to an eigenvalue spectrum that includes any prescribed countable and bounded subset of the negative real axis.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (2000): 35Q51, 35Q53

Retrieve articles in all journals with MSC (2000): 35Q51, 35Q53


Additional Information

DOI: http://dx.doi.org/10.1090/S0273-0979-1992-00309-9
PII: S 0273-0979(1992)00309-9
Article copyright: © Copyright 1992 American Mathematical Society