Nonlinear interference and the Korteweg-de Vries equation

Applied Mathematics Letters

Volumn 9, Issue 5, 1996, Pages 89-92

  Kovalyov, M ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Integrability; Korteweg deVries equation; Nonlinear interference; Wave particles, solitons

Indexed keywords

EID: 0039044555     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/0893-9659(96)00079-1     Document Type: Article

References (10)

1. S. Novikov, S.V. Manakov, L.P. Pitaevskii and V.E. Zakharov, Theory of Solitons: The Inverse Scattering Method, English translation, (1984).
2. M.J. Ablowitz and H. Segur, Solitons and the inverse scattering transform, SIAM Studies in Applied Mathematics (1985).
3. M.J. Ablowitz and P.A. Clarkson, Solitons, nonlinear evolution equations and inverse scattering, London Mathematical Society Lecture Notes Series 149, Cambridge University Press, (1991).
4. I.M. Gelfand and B.M. Levitan, On the determination of a differential equation from its spectral function, AMS Translations 2 (1), 253-304 (1995).
5. H. Sabatier, Inverse Scattering Problem, Springer-Verlag, New York, (1981).
6. R. Feynman, R. Leighton and M. Sands, The Feynman Lectures on Physics, Vol. I, Addison-Wesley, (1977).
7. V.B. Matveev, Positon-positon and soliton-positon collisions: KdV case, Phys. Letters A 166, 209-212 (1992).
8. M. Kovalyov, Basic motions of the Korteweg-deVries equation (preprint).
9. H. Maisch and A. Stahlhofen, Dynamical properties of positons (preprint).
10. L.V. De Broglie, A tentative theory of light quanta, Phil. Mag. 47, 446 (1924).